Question

question 11 of 25
solve the system of equations below by graphing both equations with a pencil and paper. what is the solution?
( y = -2x + 4 )
( y = x - 2 )

a. ( (-1, -3) )
b. ( (-2, -4) )
c. ( (2, 0) )
d. ( (1, -1) )

Explanation:

Step1: Set equations equal

Since both equal \( y \), set \( -2x + 4 = x - 2 \).

Step2: Solve for \( x \)

Add \( 2x \) to both sides: \( 4 = 3x - 2 \).
Add 2 to both sides: \( 6 = 3x \).
Divide by 3: \( x = 2 \).

Step3: Find \( y \)

Substitute \( x = 2 \) into \( y = x - 2 \): \( y = 2 - 2 = 0 \).

Answer:

C. (2, 0)