If f(x) = x – 2 and g(x) = –2x + 7, what value of x makes f(x) = g(x)? use the substitution method to solve the system of equations. write your answer as an ordered pair. y = x – 2 and y = –2x + 7

(3, 1)

Step-by-step explanation:

To find when f(x) = g(x), you first have to set them equal to each other.

x - 2 = -2x + 7

Step 1. Add 2 to both sides

x = -2x + 9

Step 2. Add 2x to both sides.

3x = 9.

Step 3. Divide it all by 3 to isolate the variable.

x = 3

Now we just have to plug that 3 as X into both of the equations. I am changing f(x) and g(x) into y so it is easier to understand for most.

For f(x): y = 3 - 2. y = 1.

For g(x): y = -2(3) + 7. y = -6 + 7. y = 1.

Step-by-step explanation:

Hello!

Good luck!