Solve using elimination.

–8x + 6y = –4
2x + 2y = –20

Answers

Answer 1

x = -4 and y = -6

Step-by-step explanation:

Solve for x :

–8x + 6y = –4

2x + 2y = –20 (times 3)

Elimination

–8x + 6y = –4

6x + 6y = –60

_____________ _

-14x = 56

x = -4

Solve for y :

–8x + 6y = –4

2x + 2y = –20 (times 4)

Elimination

–8x + 6y = –4

8x + 8y = –80

_____________ +

14y = -84

y = -6


Related Questions

Factorise x2 (squared) - 6x - 27

What’s the answer?

Answers

[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]

let's factorise :

[tex] {x}^{2} - 6x - 27[/tex]

[tex]x {}^{2} - 9x + 3x - 27[/tex]

[tex]x(x - 9) + 3(x - 9)[/tex]

[tex](x - 9)(x + 3)[/tex]

Done !

-32 > +32? True or false?

Answers

Answer:

False

Step-by-step explanation:

+32 is greater than -32

Answer:

false it is less than

Step-by-step explanation:

-32<+32

-4(7 + 4x) = 42 - 6x

Answers

Step-by-step explanation:

You use the formula BODMAS and then you simply the brackets first

(7+4x)=11x

And then you group using like terms which is

-4 - 42 +11x - 6x and then you get ur answer

Find the least common denominator (LCD) of 5/8
and 1/4

Answers

Answer:

8

Step-by-step explanation:

1. 1/4 × 2/2 = 2/8 (denominator is 8)

2. 5/8 × 1 = 5/8 (denominator is 8)

Therefore, the common denominator is 8.

The least common denominator is 8.
5/8=5/8 x 1/1=5/8
1/4=1/4 X 2/2 = 2/8

Which is the graph of the function y = 3x?

Answers

The graph would look like the picture above.

Rise 3, Run 1

Suppose that 18 inches of wire costs 72 cents. At the same rate, how many inches of wire can be bought for 48 cents?

Answers

Answer:12 inches

Step-by-step explanation:

Can someone please help me

Answers

Answer:

it is going to be B or C

Step-by-step explanation:

If I'm wrong I'm really sorry I'm along high school not college

Finally, suppose you decide not to finance (get a loan for) the car and to
wait two years to save up money in addition to the $4,000 you already
have saved for the car.
How much money would you have to save each month in order to
purchase this car without any financing (loan) at the end of two years?
Round your answer to the nearest cent.

Answers

Supposing a cost of $30,000, and using proportions, it is found that you would have to save $1,083.30 each month.

--------------------------

We suppose a cost of $30,000.You already have $4,000 saved.30 - 4 = 26, thus, you would need to save $26,000 in 2 years = 24 months.How much per month?

We can solve it using proportions, by the following rule of three:

1 month - $x

24 months - $26,000

Applying cross multiplication:

[tex]24x = 26000[/tex]

[tex]x = \frac{26000}{24}[/tex]

[tex]x = 1083.3[/tex]

You would have to save $1,083.30 each month.

A similar problem is given at https://brainly.com/question/24112433

(b) A number increased by -8 is greater than 12

Answers

Answer:

x+-8 > 12 Hope this helps.

Write a two-column proof.
Given m<4 =35, m<1= m<2 + m<4.
Prove m<3 = 70

Answers

Answer:

given m<4 = 35° and m<1 = m<2 + m<4

prove m<3 = 70°

Statements Reasons

m<4 = 35° given

m<1 = m<2 + m<4 given

m<2 = m<4 by the vertical angles theorem

35° = 35° substitution property of equality

m<2 + m<4 = m<1 angle addition postulate

35° + 35° = 70° substitution property of equality

m<3 = m<1 by the vertical angles theorem

m<3 = 70° substitution property of equality

The two column proof for the given set of angles are:

m∠2 = m∠4 by the vertical angles theorem

m∠3 = m∠1 by the vertical angles theorem

Given data:

The measure of angle

The measure of angle m∠4 =35,

The measure of angle m∠1= m∠2 + m∠4.

Now, Two straight lines that intersect at the same location are said to be intersecting lines. The junction point is the place where two intersecting lines meet. Four angles are created when two lines cross. The four angles added together always equal 360 degrees.

Perpendicular lines are two straight lines that intersect and form right angles. When two perpendicular lines intersect, they form four right angles.

When lines intersect, two angle relationships are formed:

Opposite angles are congruent

Adjacent angles are supplementary

Therefore, m∠2 = m∠4 by the vertical angles theorem

m∠3 = m∠1 by the vertical angles theorem

35° + 35° = 70° substitution property of equality

Hence, the measure of angle m∠3 = 70°

To learn more about intersecting lines, refer:

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James and Bethany Morrison are celebrating their 10th anniversary by having a reception at a local reception hall. They have
budgeted $4,000 for their reception. If the reception hall charges a $50 cleanup fee plus $35 per person, find the greatest number of people that they may invite and still stay within their budget.

Answers

Answer:

They can invite at max 112 people.

Step-by-step explanation:

4000 - 50 = 3950

3950 / 35 = 112.85 (Can't round up to 113 because then it will go over their budget), so you will get 112 people.

Please can I check with you the answer for nbr 12?
Is it correct?

Answers

Answer:

B and C

Step-by-step explanation:

B = 2,4,6 =3,6C= 2,4,6,8,10,12 = 6,12

What is the area of the shaded portion of the circle?
O (1611 - 32) in
(1611-8) in
O (641-32) in
O (6451 - 8) in?
8 in

Answers

Answer:

The answer is either the 2nd or the 4th option.

Step-by-step explanation:

HELP PLEASE!!!!!!!!!!!

Answers

Answer:

x = 4.4

Step-by-step explanation:

The ratios of corresponding sides are in proportion , that is

[tex]\frac{x}{11}[/tex] = [tex]\frac{4}{10}[/tex] ( cross- multiply )

10x = 44 ( divide both sides by 10 )

x = 4.4

Assume that there are 11 girls and 10 boys in the neighborhood club, and a team of 8 is to be selected.
How many different teams can be selected if each team must contain both boys and girls?

Answers

Answer:2

Step-by-step explanation:

4 - (y - 3) = 3(y + 1) - 4(1 - y)

Answers

Answer:

The value of y is 1

Step-by-step explanation:

4 - (y - 3) = 3(y + 1) - 4(1 - y)

4 - y + 3 = 3y + 3 - 4 + 4y

7 - y = 7y - 1

7 + 1 = 7y + y

8y = 8

y = 1

Thus, The value of y is 1

-TheUnknownScientist 72

HELP PLEASEEE, I WILL MARK BRAINLEST!

Answers

9514 1404 393

Answer:

∠a = 133°∠b = 15°∠c = 75°∠d = 58°

Step-by-step explanation:

We don't know the definitions, properties, postulates, or theorems on your list, so we'll use the following:

a right angle measures 90°a straight angle measures 180°the acute angles in a right triangle total 90°an exterior angle of a triangle is equal to the sum of the remote interior anglesthe measure of an angle is equal to the sum of the measures of its parts.

__

∠a = 180° -47° = 133°; reasons 2, 5. The angles form a straight angle.

∠b = 47° -32° = 15°; reason 4

∠c = 90° - ∠b = 90° -15° = 75°; reason 3

∠d = 90° -32° = 58°; reasons 1, 5. The angles form a right angle. If you want to get picky, we know it is a right angle by reasons 1 and 2. The marked right angle and the sum of 32° and ∠d together form a straight angle.

how do you solve this (first equation) x=2y-1 (second equation) x+y=40

Answers

Answer:

[tex]x = 26 \frac{1}{3} \\ [/tex]

[tex]y = 13 \frac{2}{3} \\ [/tex]

Step-by-step explanation:

x = 2y - 1

x - 2y = -1 ________(1)

x + y = 40________(2)

(2) - (1)

[tex]x + y - (x - 2y) = 40 - ( - 1) \\ x + y - x + 2y = 40 + 1 \\ 3y = 41 \\ y = \frac{41}{3} \\ y = 13 \frac{2}{3} \\ [/tex]

y = 13 2/3

[tex]x + y = 40 \\ x + 13 \frac{2}{3} = 40 \\ x = 40 - 13 \frac{2}{3} \\ x = 40 - \frac{41}{3} \\ x = \frac{3(40) - 41}{3} \\ x = \frac{120 - 41}{3} \\ x = \frac{79}{3} \\ x = 26 \frac{1}{3} \\ [/tex]

PLEASE HELP PLEAAE HURRY ANS NO LINKS PLEASE I REALLY NEED THE ANSWER

Answers

6+8=14÷(-2)=-7-4=-11

Answer:

-11

Step-by-step explanation:

-4 + (6 + 8) / (-2)

-4 + (14) / (-2)

-4 + -7

-4 - 7

-11

Hopefully this helped!

Brainliest please?

Unicorns love eating jelly beans! If a unicorn eats 410.7 ounces of jelly beans 6 times a day, how many ounces does it eat in one day?

Answers

Answer:

2464.2

Step-by-step explanation:

you multiply 410.7 by 6 to get this

The ounces of jellybean eaten in a day is required.

The amount of jellybean the unicorns eats in one day will be 2464.2 ounces.

The ounces of jellybean eaten at one time is 410.7 ounces

The number of times jellybean is eaten during one day is 6 times.

[tex]1\ \text{time}=410.7\ \text{ounces}[/tex]

So, for 6 times

[tex]6\ \text{times}=6\times 410.7=2464.2\ \text{ounces}[/tex]

Learn more:

https://brainly.com/question/5281897

https://brainly.com/question/13417533

Solve for x.
11
3
9.

Answers

9514 1404 393

Answer:

  x = 33

Step-by-step explanation:

The product of the lengths of the segments of one chord is the same as the product of segment lengths for the other chord:

  11×9 = 3x

  x = 99/3 = 33

Hi everybody, does this dot on the plot I have look correct, please let me know.

Answers

Answer:

no because it's between 4.2 and 4.3, when it should be between 4.1 and 4.2

Step-by-step explanation:

for the function below find the following:

f(x)=25x^2-36

a. the zeros x=?

b. the x & y intercepts
(x,y) = ( )
(x,y) = ( )

c. the y intercept of the graph
(x,y) = ( )

Answers

Answer:

a. (-1.2,0) (1.2,0)

b. (-1.2,0) (1.2,0)(0,-36)

c. (0,-36)


A pattern has 3 blue triangles to every 39 yellow triangles. What is the ratio of yellow
triangles to all triangles

Answers

Answer:

3:39

Step-by-step explanation:

have a good day

Data were recorded for a car’s fuel efficiency, in miles per gallon (mpg), and corresponding speed, in miles per hour (mph). Given the least-squares regression line, , what is the fuel efficiency for a speed of 60 mph?

3.65 mpg
33.90 mpg
36.52 mpg
38.55 mpg

Answers

The least-squares regression line equation gives the line that approximate the relationship between the variables in the fuel efficiency data

The fuel efficiency when the speed is 60 mph is approximately 38.55 mpg.

Reason:

The given least-squares regression line equation is presented as follows;

ln(Fuel Efficiency) = 1.437 + 0.541 × ln(speed)

Required:

The value of the fuel efficiency for a speed of 60 mph.

Solution:

The general form of the least-squares regression line equation is [tex]\hat y[/tex] = a + b·x

Where, in the current question, we have;

[tex]\hat y[/tex] = The predicted value = ln(Fuel Efficiency)

a = The y-intercept = 1.437

b = The slope = 0.541

x = The input value = ln(speed)

When the speed = 60 mph, we have;

ln(Fuel Efficiency) = 1.437 + 0.541 × ln(60) = 3.65204040816

Therefore;

[tex]Fuel \ Efficiency = e^{(1.437 + 0.541 \times ln(60))} \approx 38.55[/tex]

The fuel efficiency when the speed is 60 mph ≈ 38.55 miles per gallon

Learn more here:

https://brainly.com/question/14341438

Answer:

the person above me is correct.

Step-by-step explanation:

Dan removed 16 fish from his pond over a period of 2 days . He romoved the same number of fish each day .What was the change inn the number of fish in the pond each day?

Answers

Answer:

8

Step-by-step explanation:

8 ?

2x8 =16

16/2=8
The change would be 8 fish take out of the pond each day

Shannon is three times my age. The sum of our ages is the same as six times my age two years ago. Let my age now be x. How old am I?

Answers

Answer:

6

Step-by-step explanation:

my age now = x

my age two years ago = x - 2

Shannon's age now = 3x

3x + x = 6(x - 2)

4x = 6x - 12

-2x = -12

x = 6

Answer: I am 6.

i need step by step explanition if you can. paper depot is delivering 952 cases of paper today.300 of the cases are plain white paper twenty-eight trucks are being loaded with an equal number of cases of paper. how many cases will each truck carry

Answers

Answer:

34

Step-by-step explanation:

We actually don't care what amount of paper is white, we just need the amount per truck. If there were 2 trucks, they would each take half of the total amount of paper. If there were 3 trucks, they would each take a third of the total amount of paper. And so on for 4,5,6,etc.

For 28 trucks, they would each take a twenty-eighth of the total amount of paper. So, the amount each truck takes is just [tex]952/28=34[/tex].

So, the answer is [tex]\boxed{34}[/tex] and we're done!

Please help me!
(But give in detail of how you got the answer)
Solve for s. 2/3s + 5/6s = 21
Enter the answer, as a whole number or as a fraction in simplest form, in the box.

s =

Answers

Answer:

s = 14

Step-by-step explanation:

Step 1: Combine like terms.

[tex](\frac{2}{3}s + \frac{5}{6}s) = 21[/tex] [tex](\frac{4}{6}s + \frac{5}{6}s) = 21[/tex] [tex]\frac{9}{6}s = 21[/tex] [tex]\frac{3}{2}s=21[/tex]

Step 2: Multiply both sides by 2/3.

[tex]\frac{3}{2}s * \frac{2}{3} = 21 * \frac{2}{3}[/tex] [tex]s = \frac{42}{3}[/tex] [tex]s = 14[/tex]

3 Ganesa wanted to write numerical examples for the
inequality a table. One of the conditions cannot be met. Complete
the table. Indicate which condition cannot be met.
Be sure that
you
understand each
condition in the
table.
Condition
Numerical Example fora<6
a<0 and b a<0 and b>0
a> and b<0
a> and b>0
Lesson 13 Absolute Value and Ordering Numbers
Curriculum Associates, LLC Copying is not permitted.
Authorized for use by school personnel only. This resource expires on 6/30/2022.

Answers

The condition which cannot be met for the numerical example a < b is the third condition a > 0 and b < 0.

What are Inequalities?

Inequalities are expressions which are written on both sides separated by inequality symbols like <, >, ≤ and ≥.

The given numerical example is a < b.

When a > 0 and b < 0,

possible values of a are 1, 2, 3, ............

possible values of b are -1, -2, -3, .............

There is never a chance to get the positive values of a < negative values of b.

Hence the condition which is not met is a > 0 and b < 0.

Learn more about Inequalities here :

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The complete question is :

Ganesa wanted to write numerical examples for the inequality a<b, with the conditions described In the table. One of the conditions cannot be met. Complete the table. Indicate which condition cannot be met.

Numerical Example for a < b

Conditions are :

a < 0 and b < 0

a < 0 and b > 0

a > 0 and b < 0

a > 0 and b > 0

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