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kipiarov [429]
3 years ago
10

Solve the system by the elimination method.

Mathematics
1 answer:
katovenus [111]3 years ago
4 0

C. (-4,-⅔)

Step-by-step explanation:

Elimination Method:

R - 9S = 2

3R - 3S = -10

I'll solve for X first by eliminating S.

R - 9S = 2

-3(3R - 3S = -10)

R - 9S = 2

-9R + 9S = 30

(Add the equations)

-9R = 32

(Divide both sides by -9)

-9R/-5 = 32/-5

R = -4

Substitute the R value into either equation:

R - 9S = 2

(-4) - 9S = 2 (Add 4 to both sides of the equation)

+4 +4

-9S = 6 (Divide both sides of the equation by -9)

-9S/-9 = 6/-9

S = -6/9

Simplify

S = -2/3

Solution: (-4,-⅔)

Hope this helped

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Reil [10]

<u>Answer:</u>

9. x = 12

10. x = 31

<u>Step-by-step explanation:</u>

9. Corresponding angles are equal, so technically you can move that (7x - 20) to be diagonal with the (4x + 16). Along with the corresponding angle, diagonal angles are equal to each other. Therefore you can set (7x - 20) equal to (4x + 16) to find x.

7x - 20 = 4x + 16

Solve

3x - 20 = 16

3x = 36

x = 12

Therefore x is equal to 12

<u>Check:</u>

4(12) + 16

= 64

7(12) - 20

= 64

10. All angles in a triangle have to add up to 180 degrees. Therefore, you can write your equation like this:

x + 2x + 25 + 2x = 180

Combine like terms

5x + 25 = 180

Solve

5x = 155

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Therefore, x = 31.

<u>Check:</u>

31 + 2(31) + 25 + 2(31) = 180

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180 = 180

<em>I hope this helps!!</em>

<em>- Kay :)</em>

<em />

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