solve system of equations using the elimination method

Solve System Of Equations Using The Elimination Method

Answers

Answer 1

Answer:

(x,y)=(-4/5,10/19)

Step-by-step explanation:

x+2y=3

x-8y=-16

x+2y=3

-x+8y=16 (multiply both sides by-1)

10y=16

y=16/10

x+2(16/10)=3

x=-4/5


Related Questions

Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2 and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold.
Below is a graph that represents the total profits for a third month. Write the equation of the line that represents this graph. Show your work or explain how you determined the equations.

Answers

Answer:

y = -2/3x + 300

Step-by-step explanation:

Since the line is linear, we can find the equation of the line in y=mx+b form.

First, you have to find the slope using the slope formula.  Pick two points from the graph and plug it into the equation.  It doesn't matter which ones; you will get the right answer regardless.  I picked the points (0, 300) and (450, 0).

[tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }\\m=\frac{300 -0 }{0 -450 }\\m=\frac{300}{-450} \\m=-\frac{2}{3}[/tex]

You now have slope (m).  You have to find the y-intercept (b) next.  The y-intercept is the point where the line crosses the y-axis.  For this graph, the line crosses the y-axis at (0, 300), making the y-intercept 300.

Since you have m and b, you can plug the values into y=mx+b.

y = mx + b

y = -2/3x + 300

Which temperatures are listed in order from coldest to warmest?

−6°, −2°, 0°, 4°

0°, −2°, 4°, −6°

−6°, 4°, −2°, 0°

−2°, −6°, 0°, 4°

Answers

Answer:

the temperature list from coldest to warmest is :-2,-6,0,4

A circle has a diameter of 32 m. What is its circumference?
Use 3.14 for it, and do not round your answer. Be sure to include the correct unit in your answer.

Answers

Answer:

[tex]C=32(3.14)=100.48\text{ meters}[/tex]

Step-by-step explanation:

We know that the circle has a diameter of 32 meters.

And we want to find its circumference.

The circumference of a circle is given by the formula:

[tex]C=\pi d[/tex]

Where d is the diameter.

So, we will substitute 32 for d and we will use 3.14 for π. Hence, our circumference will be:

[tex]C=32(3.14)=100.48\text{ meters}[/tex]

Answer:

100.48 m

Step-by-step explanation:

C=2(3.14)r

C=2(3.14)(16)

C= 100.48 m

I need to show my work for 6a = 36​

Answers

Answer:

6a =36

a = 36/6

a = 6

that is the answer

pls mark brainiest

Step-by-step explanation:

Answer:

a=6^2

Step-by-step explanation:

So you would just show your anserw because 6 to the 2 power would actually be 6 times 6 and that would equal 36 if that makes sense :)

Ben can type 2/5 of a page of an essay in 1/2 minute. How much time would
take him to type one full page of the essay?

Answers

Answer:

ok so first i want to figure out what 2/5 converted to percent is......

you can find it out on a calculator or on paper by dividing 2 / 5 = 0.4

so this is 40% and if it takes him half a minute to do this, it takes him about 30 seconds to finish 40% of the essay and there is a full 60% still waiting to be done, so lets see,

40% + 40% = 80%

so that is about 1 full minute to write 80% we are still left with 20% so let's see how much time does it take to write 20% of the essay, in 40% it takes 30 seconds and in 80% it takes 60 seconds. So since 20% is half of 40% then we must divide the time in half so 30 / 2 = 15

So if we add all these numbers up it equals 1:15 minutes to write an essay

I hope this helps and please mark brainliest if i got it right!

The time taken by Ben to write a full page will be 1:15 minutes.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

you can find it out on a calculator or on paper by dividing 2 / 5 = 0.4

So this is 40% and if it takes him half a minute to do this, it takes him about 30 seconds to finish 40% of the essay and there is a full 60% still waiting to be done, so let's see,

40% + 40% = 80%

so that is about 1 full minute to write 80% we are still left with 20% so let's see how much time it takes to write 20% of the essay, in 40% it takes 30 seconds and in 80% it takes 60 seconds. So since 20% is half of 40% then we must divide the time in half so 30 / 2 = 15

Therefore, the time takes Ben to write a full page will be 1:15 minutes.

To know more about an expression follow

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Identify the slope and y intercept in the equation y=25x + 32​

Answers

Answer:

y= 57x

Step-by-step explanation:

25 + 32 = 57x y = 57x

Which statements are true about the ordered pair (10, 5) and the system of equations?

{ 2x−5y=−5
{ x+2y=11


Select each correct answer.


The ordered pair (10, 5) is a solution to the first equation because it makes the first equation true.

The ordered pair (10, 5) is a solution to the second equation because it makes the second equation true.

The ordered pair (10, 5) is not a solution to the system because it makes at least one of the equations false.

The ordered pair (10, 5) is a solution to the system because it makes both equations true.

Answers

Answer:

the solution to the system is (5,3)

Step-by-step explanation:

the first statement is True:    2(10) - 5(5) = -5

                                                20 - 25 = -5

                                                  -5 = -5

the second statement if False:    10 + 2(5) ≠ 11

the third statement is True

the last statement is False

.anybody actually knows the answer ​

Answers

Answer:

2.56

Step-by-step explanation:

14.7 - 1.9 = 12.8

12.8/5 (sides) =

n = 2.56

check:

2.56 * 5 = 12.8

12.8 + 1.9 = 14.7

Match the reasons with the statements.

GIVEN: x2 + 6x + 2x + 12 = 0
TO PROVE: x = -6 or x = -2
1. x2 + 6x + 2x + 12 = 0 Combining like terms

2. x2 + 8x + 12 = 0 Distributive Postulate

3. (x + 6)(x + 2) = 0 Zero product postulate

4. x + 6 = 0 or x + 2 = 0 Subtraction property of equality

5. x = -6 or x = -2 Given

I WILL REPORT U IF U DONT ANSWER CORRECTLY AND FULLY!!!!

Answers

Answer:

Concept: Mathematical Derivation

We are given x^2 +6x+2x+12 Hence we simplify: x^2 + 8x +12 Now we factor: (x+2)(x+6) By mathematical logic we now proved that the roots are x=-2 and x=-6 Give brainlist and rate positively

The drama club has $4000 to spend on their winter performance. They have already
spent $1500 on the set, and programs cost $1.75 each.
Thetinequality 1500 + 1.75x<=4000 can be used to determine the number
of programs, x, that can be ordered. Which statement about the number of
programs that can be ordered is true?

The drama club can purchase at least 1.428 programs

The drama club can purchase at most 1.428 programs

The drama club can purchase 1,429 programs

The drama club can purchase 4000 programs

Answers

Answer:

The drama club can purchase 1429 programs

Step-by-step explanation:

Which expression represents the completely factored form of 2x3 + x2 - 8x - 4?
a (x2 - 4)(2x + 1)
6 (x - 2)2(2x - 1)
0 (x - 2)(x + 2)(2x - 1)
d (x-2)(x + 2)(2x + 1)

Answers

The answer is the letter D

Answer:

D

Step-by-step explanation:

D is also equivalent

Heather rode her bicycle 3 5/6 miles in 2/3 hour. What was her average speed in miles per hour?

Answers

Answer:

her average speed is 7 and 2/3 miles per hour

Step-by-step explanation:

If you ride your bicycle at 22 miles per hour, how many miles could
you travel from 7:00 a.m. to 9:30 a.m. if you do not take a break?

Answers

Answer:

About 4-5 miles at the most i rode a bike before to a store and it took me an hour to go there and get back so.... Ya i would say about 4-5 miles

Step-by-step explanation:

Because 22mph is pretty slow. And i was going faster then 22mph when i was on my bike.

Answer:

55 miles

Step-by-step explanation:

Subtract 9:30 & 7:00, it will give you 2.3...meaning 2.5 hours. If you are traveling 22 miles an hour for 2 hours & 30 minutes you will get 55 miles total. 22 + 22 + 11 = 55.

Five minus one fourth

Answers

Answer:

can i tell u this story about when i had a dump, so like i just ate chetos so my butt was on fire and their was some fish i saw and i dicided it looked good so i ate it.

Step-by-step explanation:

oh yeah and the answer is 4.75

Answer:

19/4. /means fraction symbol

Step-by-step explanation:

5-1/4

20-1/4

19/4

find the median for each set of data 4,12,7,6,10,5,11,8

Answers

Answer:

7.5

Step-by-step explanation:

The median is the middle data in a set. To find the median first order the set for least to greatest. In this case, 4,5,6,7,8,10,11,12. Then find the number in the middle, however, because there is an odd number of data you must take the mean of the two middle numbers. The two numbers in the middle are 7 and 8, so to find the mean of these numbers add them then divide by the number of terms, aka 2. (7+8)/2=7.5, therefore the median must be 7.5.

What is the result of the subtraction?
46 – 19=
O 23
0 27
033
0 37

Answers

Answer:

27

Step-by-step explanation:

When we take 46 and subract 19 from it, we get 27.

For verification add 27 with 19

The   answer is 46

Answer:

27

Break 19 into 10 and 9. 46-10 = 36. 36-9=27.

Calculate the average time it took the car to travel 0.25 and 0.50 meters with two washers attached to the pulley. Record the averages, to two decimal places, in Table C of your Student Guide.

What is the average time it took the car to travel 0.25 meters?

seconds

What is the average time it took the car to travel 0.50 meters?

seconds

Answers

Answer:

1.92 second at 0.25 meters.

2.61 second at 0.50 meters.

Step-by-step explanation:

the average 2 washers  on time travel of:

0.25 m : 1.94 / 1.95 / 1.87 = 1.92 second

0.50 m: 2.69 / 2.72 / 2.42 = 2.61 second

In this exercise we have to calculate the time that a car makes in a certain distance, in this way we find that:

A) In 0.25 meters in 1.92 second.

B) In 0.50 meters in 2.61 seconds.

We know that some information is given in the statement as:

In 0.25 meters the car speeds are: 1.94/ 1.95/ 1.87In 0.50 meters the car speeds are: 2.69 / 2.72 / 2.42

Knowing that the formula for calculating time is given by:

[tex]Time= Distance/Speed[/tex]

So we have:

A) [tex](1.94 +1.95 + 1.87)/3= 5.76\\0.25/5.76=1.92 s[/tex]

B)  [tex]2.69+ 2.72 + 2.42= 7,83\\0.50/7,83=2,61[/tex]

See more about time at brainly.com/question/2570752

The Blue whale presently the largest mammal is about to 2.27 times more than the largest dinosaur. Blue whales weigh about 1.362 x 10 to the fifth power kilograms. Using scientific notation, about how much did the largest dinosaur weigh?

Answers

Answer: 60,004.41 kilograms

Step-by-step explanation:

Given: Weight of Blue whales = [tex]1.362 \times 10^5[/tex] kilograms

= [tex]1.3621\times 100000=136210[/tex]

Weight of blue whale = 2.27 x (weight of largest dinosaur )

[tex]136210=2.27\times \text{(weight of largest dinosaur)}\\\\\Rightarrow\ \text{(weight of largest dinosaur)} =\dfrac{136210}{2.27}\\\\\Rightarrow\ \text{(weight of largest dinosaur)}=60004.41[/tex]

Hence, The weight of largest dinosaur = 60,004.41 kilograms

Coca Cola is offering prizes under the caps of their sodas. Coca Cola claims that “one in six game pieces wins a prize.” The official rules of the contest states that the odds of winning a prize are 1:6. Is the claim “one in six game pieces wins a prize” correct? Why or why not?

Answers

Answer:

correct because one in six game pieces win a prize.

Step-by-step explanation:

Please help I got to get this done to move on in math (my teacher wont unlock anything till i get this done i have till tomorrow)

Answers

Step-by-step explanation:

please see it my steps to work this problem

Answer:  10x - 1

==============================================

Explanation:

The multiplicative inverse of x is 1/x, and vice versa. This is true as long as x is not 0.

The multiplicative inverse of 1/5 is 5. These two values multiply to 1. This is true of any multiplicative inverse pairing.

----------

What we need to do is multiply 5 with (2x-1/5)

Use the distributive property to get the following

5*(2x-1/5)

5*(2x) - 5*(1/5)

10x - 5/5

10x - 1

I multiplied the outer 5 by each term inside (the 2x and 1/5) and simplified.

Choose the graph that matches the system of inequalities.
–x + y ≤ –1
x + 2y ≥ 4

Answers

Answer:

The correct

answer is B

The correct option is B)

What is a feasible region?

A feasible region satisfies all the inequalities of a linear programming problem. It is based on the technique of optimization.

Given here the inequalities as –x + y ≤ –1

x + 2y ≥ 4

The graph plotting the two equations is plotted in the attached file

Hence from the given graph option B is the correct option.

Learn more about feasible regions here:

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The graph shows the heigh if a tree ever time. What can you reduce the rate of change to be from 2years to 4years

Answers

Answer:

the question sounds confusing but I believe you would reduce the time or the x value so that the years are reduced.

Simplify. Rewrite the expression in the form 9^n.


{9^7}{9^5}

Answers

5. +. 7. Is 13. 9^13.

which model represents 1/3​

Answers

Answer:2nd one because 2/6=1/3

Step-by-step explanation:

Error Analysis

On a math test a student, Jake, has to identify all the coefficients and constants of
the expression 7b+ m + 8. Jake says that 7 is a coefficient and 8 is a constant. Identify all the
coefficients and constants of the expression. What error might Jake have made?

The coefficient(s) of the expression is are __
Use a comma to separate answers as needed.)

The constant(s) of the expression is/are __
(Use a comma to separate answers as needed.)

What error might Jake have made?

A. Jake said 7 is a coefficient. It is actually a constant.
OB. Jake said 8 is a constant. It is actually a coefficient.
OC. Jake did not include the constant 1.
OD. Jake did not include the coefficient 1.
Click to select your answer's).

Answers

The coefficient(s) of the expression is/are 7, 1

Use a comma to separate answers as needed.)

The constant(s) of the expression is/are 8

(Use a comma to separate answers as needed.)

What error might Jake have made?

OD. Jake did not include the coefficient 1.

Click to select your answer's

Which shows the correct expanded form and product of 35 x 3?
O (30 x 3) = (5 x 3) = 6
(30 x 3) - (5 x 3) = 75
(30 x 3) + (5 x 3) = 105
(30 x 3) x (5 x 3) = 1,350

Answers

Yt. W at we see f. Mmm

Answer:

(30 x 3) + (5 x 3) = 105

Step-by-step explanation:

Kris's bike used up 4.5 gallons of gas to cover a distance of 297 miles.Jack travels 366 miles on a full tank capacity of 6 gallons.Ben's bike consumed 5.2 gallons of gas for a 265.2 miles long drive. Whose bike gave the best mileage

Answers

Answer:

Ben's bike gave the best mileage.

Step-by-step explanation:

Kris's bike mileage = 297 / 4.5

Kris's bike mileage = 66 mile/gallon

Jack's bike mileage = 366 / 6

Jack's bike mileage = 61 mile/gallon

Ben's bike mileage = 265.2 / 5.2

Ben's bike mileage = 51 mile/gallon

Ben's bike gave the best mileage

Evaluate the following expression when n = 6.
|n - 6| - |5 - n|

Answers

Answer:

-1

Step-by-step explanation:

1. Substitute n with 6 because n=6

2. Then you simply solve both sides so (6-6)-(5-6) because n=6

3.so then you get the absolute value of 0 subtracted by the absolute values of -1

4. So because all absolute values change it to positive you get 0-1 instead of 0- - 1

5. So the final answer is -1

Sorry if this was confusing, I’m really bad at explaining. :)

Answer:

|n-6|-|5-n|

=|6-6|-|5-6|

=|0|-|-1|

=0-1

=-1

What is the product of all constants $k$ such that the quadratic $x^2 + kx +15$ can be factored in the form $(x+a)(x+b)$, where $a$ and $b$ are integers?

Answers

hahahahahahahahahahaha

srsly tho

is this still a problem you have? if so ill solve it.

You are running an experiment in class where you draw colored marbles out of a bag. There are
eight marbles in the bag, you will draw five times, and you will replace the marble each time. How many ways can you draw the marbles out of the bag?

A: 40

B: 3,360

C: 4,096

D: 32,768

Answers

Answer:

32768 ways

Step-by-step explanation:

Given

Marbles = 8 marbles

Selection = 5 (with replacement)

Required

Determine the number of ways

Because it is a selection with replacement; each selection is as follows:

[tex]First = 8\ marbles[/tex]

[tex]Second = 8\ marbles[/tex]

[tex]Third= 8\ marbles[/tex]

[tex]Fourth = 8\ marbles[/tex]

[tex]Fifth = 8\ marbles[/tex]

Total number of ways is then calculated as:

[tex]Total = 8 * 8 * 8 * 8 * 8[/tex]

[tex]Total = 32768[/tex]

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