6x+4y=42 -3x+3y=-6 by elimination

Answers

Answer 1

Answer:

x=5, y=2

Step-by-step explanation:

To solve this system, we need to find x and y. First, let's find x. In the first equation (6x+4y=42), subtract 4y on both sides to isolate 6x. This will result in 6x=42-4y. Divide by 6 on both sides to isolate x and get x=7-[tex]\frac{2}{3}[/tex]y. Now we know what x equals. Go to the second equation ad plug this into it. So instead of -3x+3y=-6, you'll have -3(7-[tex]\frac{2}{3}[/tex]y)+3y=-6. Use the distributive property to get -21+2y+3y=-6. Add 2y and 3y to get -21+5y=-6. Add 21 to both sides to isolate 5y and get 5y=15. Divide by 5 on both sides to isolate y and get y=3. Now that we know that y=3, we can plug this back into the equation that was bolded above so that we can find x, so we'll have x=7-[tex]\frac{2}{3}[/tex](3) since y=3, and we'll get x=7-[tex]\frac{6}{3}[/tex], or x=7-2, or x=5.

x=5

y=2

Answer 2

Answer: (5, 3)

Step-by-step explanation:

Solve by Addition/Elimination

6x + 4y = 42 −3x + 3y = −6

Multiply each equation by the value that makes the coefficients of x opposite.

      6x + 4y = 42

      (2) ⋅ (−3x + 3y) = (2) (−6)

Simplify (2) ⋅ (−3x + 3y).

      6x + 4y = 42

      −6x + 6y = (2) (−6)

Multiply 2 by −6. 6x + 4y = 42

      −6x + 6y = −12

Add the two equations together to e liminate x from the system.

      6x + 4y = 42

    ±6x + 6y = −12

             1 0y= 30

Divide each term in 10y = 30 by 10.

      10y  =     30

      10          10

Cancel the common factor of 10.

     y = 30/10

  Divide 30 by 10.

      y = 3

Substitute the value found for y into one of the original equations, then solve for x.

Substitute the value found for y into one of the original equations to solve for x. 6x + 4 (3) = 42

 Multiply 4 by 3.

      6x + 12 = 42

Move all terms not containing x to the right side of the equation.

      6x = 30

Divide each term by 6 and simplify.

      x = 5

The solution to the independent system of equations can be represented as a point.

(5, 3)

The result can be shown in multiple forms.

Point Form:

(5, 3)

Equation Form:

x = 5, y = 3

6x+4y=42 -3x+3y=-6 By Elimination

Related Questions

PLEASE HELP FAST AS A MIXED RADICAL READ IT CARFULLY BRAINLIST!

Answers

Answer:

[tex]2\sqrt[3]{2}[/tex]

Step-by-step explanation:

This is equal to [tex]\sqrt[3]{8} * \sqrt[3]{2} = 2\sqrt[3]{2}[/tex]

A poster of the detroit lions football players uses a scale of 4 inches= 3 feet. If quarterback Matthew stafford is 8 1/2 inches tall on the poster, find his actual height.

Answers

Answer:

The actual height = 6.38 feet

Step-by-step explanation:

Given that a poster of the detroit lions football players uses a scale

of 4 inches = 3 feet

so

1 inch = 3/4 feet

Given that the poster's length:

[tex]8\frac{1}{2}=\frac{17}{2}=8.5[/tex] inch

We need to determine the actual height if quarterback Matthew Stafford is 8 1/2 inches tall on the poster.

As 1 inch = 3/4 feet

Thus, we need to multiply 8.5 inches by 3/4 to determine the actual height of the player.

Actual height = 8.5 × 3/4 feet

                      = 6.38 feet

Therefore, the actual height = 6.38 feet

Who has
✨ A n x i e t y ✨

Answers

Answer:

yupyup

Step-by-step explanation:

been having it for years now

A) Find the distance of line segment PR. Round answer to the nearest tenth. B) Find the distance around the park (perimeter).

Answers

Answer:

A. [tex] PR = 80.6 yd [/tex]

B. Perimeter = 190.6 yd

Step-by-step explanation:

A. Distance between P(10, 50) and R(80, 10):

[tex] PR = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

[tex] PR = \sqrt{(80 - 10)^2 + (10 - 50)^2} [/tex]

[tex] PR = \sqrt{(70)^2 + (-40)^2} [/tex]

[tex] PR = \sqrt{4,900 + 1,600} [/tex]

[tex] PR = \sqrt{6,500} [/tex]

[tex] PR = 80.6 yd [/tex] (nearest tenth)

B. Distance around the park = Perimeter = PR + PQ + QR

PR = 80.6 yd

PQ = |50 - 10| = 40 yd

QR = |80 - 10| = 70 yd

Perimeter = 80.6 + 40 + 70

Perimeter = 190.6 yd

(6,5), 7x-3y=5 find the equation of the line that contains the given point and is parallel to the line. write the equation in slope intercept form

Answers

Answer:

y = (7/3)x - 9

Step-by-step explanation:

1. Convert given equation to y=mx+b form --> y = (7/3)x - 5/3

2. Equation of new line --> y = (7/3)x + b

Note: 7/3 is the slope and for lines to be parallel they need the same slope so both equations have 7/3.

3. Plug in given values --> 5 = (7/3)(6) + b

4. Solve for b --> b = 5 - 14    b = -9

5. New line --> y = (7/3)x - 9

If f(x)=−5x−8 and g(x)=2x+1, then what is (f∘g)(5.7)?

Answers

Answer:

(f*g)(5.7)= -452.6, hopefully that answers your question

What is another way to express 48 + 32?

(a) 6(8+6)
(b) 16(3 + 2)
(c) 3(16 + 11)
(d) 12(4 + 3)​

Answers

Answer:d

Step-by-step explanation: tufryvztgv

Answer: Its B. not D the other person was off and probably doesn’t know how to math lol

Mike can run a mile in 12 minutes. He starts at 11:30 AM. and runs 4 miles. What time does Mike finish his run at?

Answers

Answer: Mike stops running at 12:18 PM

Step-by-step explanation: We know he runs 1 mile each 12 minutes and we also knows he ran 4 miles so the equation is 12*4 or (12 times 4) which is equal to 48. We then add 38 minutes to 11:30 AM and end up at 12:18 PM.  

Answer:

12:18 P.M

Step-by-step explanation:

So the first thing I did was find out the amount of time it takes Mike to run 4 miles by multiplying 12 x 4 = 48

So Mike spends 48 minutes running the 4 miles.

Now we add 48 minutes to 11:30. So since there is no such thing as 11:78 I first subtracted the 30 minutes from the 48 minutes and added that to 11:30 which gave me 12:00 pm and then I just added the reamaining18 minutes.

which in conclusion means,

Mike will finish his 4 miles at 12:18 P.M

find x intercept if y=-5x+60

Answers

Answer:

-12 bla bla bla bla bla bla bla

-12 I’m pretty sure it’s the right answer

Heyy I need help with these two questions for math before he emails my mom saying i didnt do my work bc my brain isnt working properly rn

Answers

Answer:

4 pieces and B

Step-by-step explanation:

Answer: The answer to the first one is probably 8.

Step-by-step explanation:

I just read the problem and saw it as a division problem. I then divided 4/6 by 1/12. I ended up with 8, if this is wrong i'm incredibly sorry.

What’s 9 + 10 =
???????????????????????????????????

Answers

Answer:

19

Step-by-step explanation:

21 :)

Select all simplified expressions of 3^4 divided by 3^9

Answers

What are the possible answers

A pair of designer sneakers was purchased for $100. Since they were purchased, their price has increased by 15%. What is the new price?

Answers

Answer:

115

Step-by-step explanation:

A group of friends went fishing. They each caught 20 fish but not all of them were keepers. Which person was able to keep 3/5 of the fish that he or she caught?

Answers

Answer:

Those who were able to keep 12 fishes

Step-by-step explanation:

Given

Total = 20 (each)

Required

Which was able to keep 3/5

First, we need to calculate 3/5 of the total number of fishes

Fish = 3/5 * 20

Fish = (3 * 20)/5

Fish = 60/5

Fish = 12

From the calculation above, only those who keep 12 of the 20 fishes were able to keep 3/5 of their fishes

30 Points. i fr need to pass this test i dont feel like taking it again my senior year

Answers

That’s hella mainey bru same 0

Answer:

3x^3+2x^2+2x+5

Step-by-step explanation:

The answer is A

Given the set of test scores: 42, 72, 74, 78, 80, 80, 85, 88, 92. If the outlier is removed, which statement is true? Select all that apply.
Choose all that apply:

The standard deviation decreases.

The mean increases.

The median decreases.

The range increases.

Answers

Answer:

Standard deviation decreases and mean increases

Step-by-step explanation:

The test scores are:

42, 72, 74, 78, 80, 80, 85, 88, 92

Mean = (42 + 72 + 74 + 78 + 80 + 80 + 85 + 88 + 92)/9 = 76.77

Median is 5th term which is 80

Range is highest score - lowest score = 92 - 42 = 50

Standard deviation from an online calculator gives 13.69

Now,we want to know what happens to those values when the outlier is removed. The outlier in this case is 42 because it is not consistent with other scores which range from 72 - 92.

Thus,the new set of scores are;

72, 74, 78, 80, 80, 85, 88, 92

New Mean = (72 + 74 + 78 + 80 + 80 + 85 + 88 + 92)/8 = 81.125

New Median will be the average of the 4th and 5th term which is (80 + 80)/2 = 80

New Range = 92 - 72 = 20

New Standard deviation from an online calculator gives 6.39

From the comparison above when the outlier is removed, we can say that;

- Mean increases

- remains the same

- Range decreases

- standard deviation decreases

Will you please help me with this problem

Answers

Answer:

A

Step-by-step explanation:

if you want the step by step, let me know (:

Answer:

a

Step-by-step explanation:

Which situation below correctly represents the algebraic expression 10 + 4x?

A. Stephanie has ten dolls and Kristi has four times as many dolls as Stephanie.
B. To see a football game, you will pay ten dollars admission for adults and four dollars admission for children.
C. The theater charges ten dollars for admission and four dollars for each drink.
D. Jim woke up at ten o’clock and then ran long distance for four hours.

Answers

Answer:

Your Answer is C

Step-by-step explanation:

The theater charges ten dollars for admission and four dollars for each drink

What is the solution to m/-7<_ 14

Answers

Answer:

-98

Step-by-step explanation:

simplify both sides

it would be -98 even tho someone did it i wanted to do it too

suppose a+b=10 and the value of a increases by 1. If the sum remains the same, what must happen to the value of b?​

Answers

Answer:

[tex]b[/tex] decreases by [tex]1[/tex]

Step-by-step explanation:

If the value of [tex]a[/tex] increases by [tex]1[/tex] and the sum remains the same, then the value of [tex]b[/tex] decreases by [tex]1[/tex].

Example:

Suppose [tex]a=7[/tex]  and [tex]b=3[/tex].

[tex]a+b = 10[/tex]

[tex]b = 10-a[/tex] (minus [tex]a[/tex] on both sides)

Now, let [tex]a = 8[/tex] ([tex]a[/tex] has increased by [tex]1[/tex]):

[tex]b = 10-8[/tex]

[tex]=2[/tex]

From the comparison of the previous value of [tex]b[/tex] to the current value of [tex]b[/tex], the value of [tex]b[/tex] has decreased by [tex]1[/tex].

Hope this helps :)

Select the two correct factors of the polynomial:​

Answers

Answer:

(x + 6)

(x - 7)

Step-by-step explanation:

To factor the polynomial in form [tex]x^{2} +bx+c[/tex] find two factors of C that have a sum of B

B = -1

C = -42

Factors of 42:

1, 2, 3, 6, 7, 14, 21, 42

6 and -7 multiply to -42 and add to -1

Write in factored form:

(x + 6)(x - 7)

Answer:

(x - 7)(x + 6)

Step-by-step explanation:

Given

x² - x - 42

Consider the factors of the constant term (- 42) which sum to give the coefficient of the x- term (- 1)

The factors are - 7 and + 6 , since

- 7 × 6 = - 42 and - 7 + 6 = - 1 , thus

x² - x - 42 = (x - 7)(x + 6)

Can someone help pls?

Answers

Answer:

Step-by-step explanation:

Let the original width be x

Then the original length = x + 11

Area = x * (x + 11)

If you decrease each side by 7 you get

Area 1 = (x - 7)(x + 4)

So area - area1 =

x (x + 11) -98 = (x - 7)(x + 4)                  Remove the brackets

x^2 + 11x - 98 = x^2 - 7x + 4x - 28      Combine the like terms

x^2 + 11x - 98 = x^2 - 3x - 28              Add 98 to both sides

x^2 + 11x = x^2 - 3x + 70                     Cancel the x^2

11x = -3x + 70                                       Add 3x to both sides

14x = 70                                               Divide by 14

x = 70 / 14

x = 5

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

Original conditions

Answer width = 5

Length = 16

If you check this, you will get totally bizarre answers. Don't check it. It gives negative results. You can do this in math, but not in the real world.

A store had 5 packs of paper for $7.80. How much would it cost if you were to buy 3 packs

$1.56
$2.19
$7.80
$4.68

Answers

to buy 3 packs, the cost would be $4.68

The large rectangle below represents one whole.
A large rectangle with 25 equal sections, 11 of which are shaded
What percent is represented by the shaded area?

Answers

44%

I hope this helped!!!

Answer:

ummmmmmmmm 44?

Step-by-step explanation:

Juan paid $42 in taxi fare from the hotel to the airport. The cab charged a $7 initial fee plus $2.50 for each additional mile. How many miles was it from the hotel to the airport?

Answers

Answer:

It was 14 miles from the hotel to the airport.

Step-by-step explanation:

From the information given, the taxi fair is equal to the initial fee plus the result of multiplying the price per mile for the number of miles, which is:

t=7+2.50x, where:

t is the taxi fair

x is the number of miles

Now, you can replace t with 42  and solve for x to find the miles:

42=7+2.50x

42-7=2.50x

35=2.50x

x=35/2.50

x=14

According to this, the answer is that it was 14 miles from the hotel to the airport.

derivative of (a^x/Log a)?​

Answers

[tex]\large\bold{\underline{\underline{To \: \: Differentive:-}}}[/tex]

[tex]\sf{\dfrac{a^x}{log(a)} }[/tex]

(OR)

[tex]\sf{\dfrac{a^x}{ln(a)} }[/tex]

[tex]\large\bold{\underline{\underline{Solution:-}}}[/tex]

[tex]\sf{Let\ y=\dfrac{a^x}{ln(a)} }[/tex]

[tex]\sf{=\dfrac{d}{dx}\bigg[\dfrac{a^x}{ln(a)} \bigg] }[/tex]

(Linear differentiation)

[tex]\sf{=\dfrac{1}{ln(a)}.\dfrac{d}{dx}(a^x) }[/tex]

[tex]\sf{=\dfrac{ln(a)a^x}{ln(a)} }[/tex]

[tex]\boxed{\sf{=a^x}}[/tex]

[tex]\large\bold{\underline{\underline{Applied:-}}}[/tex]

✭ Linear differentiation

→ [tex]\sf{[a.b(x)+c.d(x)]'=a.b'(x)+c.d'(x)}[/tex]

✭ Exponential function rule

→ [tex]\sf{(a^x)'=ln(a).a^x}[/tex]

Answer:

a^x.

Step-by-step explanation:

y = a^x / log a

Assuming the log is to the base e:

y = (1/ log a) * a^x

Derivative of a^x:

Let u = a^x

log u = log a^x

log u = x log a

1/u * du/dx = log a

du/dx =  = u * log a

y = (1 / log a) * u

so  dy/du = 1/log a

and dy/dx = dy/du * du/dx

=  (1/log a )* log a u

= u

= a^x.

A law firm is going to designate associates and partners to a big new case. The daily rate charged to the client for each associate is $800 and the daily rate for each partner is $1500. How much would the law firm charge the client daily if 9 associates and 4 partners were assigned to the case? How much would the law firm charge the client daily if aa associates and pp partners were assigned to the case?

Answers

Answer:

$8700

Step-by-step explanation:

Associates cost $800 each, you have 9 associates, so multiply 800 by 9 which gives you: $800x 9= $7200.

Partners cost $1500 each, you have 4 partners, so multiply 1500 by 4 which gives you: $1500x 4=$6000.

Then add the two together like this: $7200+$1500= $8700.

Answer:

The system 800x+1300y=12300 and y = x+3 can be used to determine the number of associate assigned to the case and the number of partners assigned to the case where x represent the number of associates and y represent the number of partners.

Step-by-step explanation:

Given,

Per day charge of each associate = $800

Per day charge of each partner = $1300

Total charged per day = $12300

Let,

x be the number of associates

y be the number of partners

According to given statement;

800x+1300y=12300        Eqn 1

y = x+3              Eqn 2

The system 800x+1300y=12300 and y = x+3 can be used to determine the number of associate assigned to the case and the number of partners assigned to the case where x represent the number of associates and y represent the number of partners.

Keywords: linear equation, addition

Step-by-step explanation:

Write this fraction in an equation using words: 2/3

Answers

Answer:

two-thirds plus five=five and two-thirds

Step-by-step explanation:

Two divided by three

You are giving a rectangle with dimensions of: length = 60 inches and width = 4j. The perimeter of the rectangle is 400 inches. What is the values of j?

Answers

Answer:

perimeter is sum of all four sides; two of which are '4j' and other two are 60 inches each

Step-by-step explanation:

P= 2(4j) + 2(60)

We know perimeter is 400 inches

400 = 8j + 120

8j = 280

j = 35

When flipping a coin, the probability of getting tails is 50% and heads 50%. What is the probability of getting heads
or tails?
50%
60%
75%
100%

Answers

Answer:

50%

Step-by-step explanation:

Most people assume the toss of a coin is always a 50/50 probability, with a 50 percent chance it lands on heads, and a 50 percent chance it lands on tails

Answer:

100%

Step-by-step explanation:

There is a 50% chance of getting heads, and 50% chance of getting tails.

If these two options are added together, you get 100%. There are only two options on a coin flip anyways, so the probability of getting heads or tails would be 100%.

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