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

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

i hope this you!