Question

graph the system of equations below on a piece of paper. what is the solution?
y = x - 1
y = -2x + 5

a. (0, 5)
b. (-1, 4)
c. (3, 2)
d. (2, 1)

Explanation:

Step1: Set equations equal

Since \( y = x - 1 \) and \( y = -2x + 5 \), set \( x - 1 = -2x + 5 \).

Step2: Solve for x

Add \( 2x \) to both sides: \( 3x - 1 = 5 \).
Add 1 to both sides: \( 3x = 6 \).
Divide by 3: \( x = 2 \).

Step3: Find y

Substitute \( x = 2 \) into \( y = x - 1 \): \( y = 2 - 1 = 1 \).

Answer:

D. (2, 1)