Given the system of equations below, explain if (6,-9) is a solution or not. 7x+2y=24
8x+2y=30

(6,-9) is a solution.

Step-by-step explanation:

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

(-1) · (7x+2y) = (-1) · (24)

8x+2y = 30

Simplify.

-7x-2y = -24

8x+2y = 30

        x = 6

-7 · x - 2y = -24

-7 · 6 - 2y = -24

-42 - 2y = -24

      -2y = 18

         y = -9

1)is not similar since corresponding sides are not in the same ratio

2)are similar since corresponding sides are in the same ratio and corresponding angles are equal

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