Question

Solve the system using elimination.5x-9y=12x-9y=-12

Answer 1

Answer:

x = 6

y = 2

Explanation:

To solve the system using elimination, we need to multiply the second equation by -1, so the second equation is equivalent to:

x - 9y = -12

-1 (x - 9y) = -1 (-12)

-x + 9y = 12

Then, we can sum this equation and the first equation. So:

5x - 9y = 12

-x + 9y = 12

4x + 0 = 24

So, we can solve for x, as:

4x = 24

4x/4 = 24/4

x = 6

Then, we can replace x by 6 on the first equation and solve for y, so:

5x - 9y = 12

5(6) - 9y = 12

30 - 9y = 12

30 - 9y - 30 = 12 - 30

-9y = -18

-9y/(-9) = -18/(-9)

y = 2

Therefore, the solution of the system is x = 6 and y = 2

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