Question

ASAP
What is the solution of the system? Use elimination. 5x+6y=17 -10x-9y=-43
A. (–7, –3)
B. (7, 3)
C. (7, –3)
D. (–7, 3)

Answer 1

Answer:

C. (7, –3)

Step-by-step explanation:

5x+6y=17

-10x-9y=-43

Multiply the first equation by 2

2(5x+6y)=17*2

10x +12y = 34

Add this equation to the second equation to eliminate x

-10x-9y=-43

10x +12y = 34

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   3y = -9

Divide by 3

3y/3 = -9/3

y = -3

Now we need to find x

5x+6y = 17

5x +6(-3) = 17

5x-18 = 17

Add 18 to each side

5x-18+18 =17+18

5x =35

Divide by 5

5x/5 = 35/5

x =7

(7,-3)