Find the solution set for the system of equations. 9x + 5y = 28 5x + 9y + 56

First, let's isolate one of the variables (preferably, y)

5y = -9x + 28

y = -1.8x + 5.6

Input this into the second equation:

5x + 9(-1.8x + 5.6) = 56

5x + -16.2x + 50.4 = 56

-11.2x + 50.4 = 56

-11.2x = 5.6

x = -0.5

Knowing this:

-2.5 + 9y = 56

9y = 58.5

y = 6.5

The solution set is (-0.5, 6.5)

answer:   y=2x-3

step-by-step explanation:

- both graphs increase on their domain.

- the graphs of both functions have the same x-intercept.

- neither graph has a y-intercept.