Question

Use a graph to find x and y values that make both y = -2/3x + 3 and y = 2x - 5 true.

The x and y values that make both statements true are ( , ).
a) (-1, -3)
b) (1, -3)
c) (0, 5)
d) (2, -1)

Answer 1

To find x and y values that make both equations true, solve the equations simultaneously and substitute the x value into either equation to find the y value. The correct answer is (0, 5).

Step-by-step explanation:

To find x and y values that make both equations y = -2/3x + 3 and y = 2x - 5 true, we need to solve these equations simultaneously.

We can do this by setting the right sides of the equations equal to each other: -2/3x + 3 = 2x - 5. We can then solve for x, and once we have the value of x, we can substitute it back into either of the original equations to find the corresponding y value. From the provided options, the correct answer is (c) (0, 5).