Question

question 9 of 10
what is the solution to the system of equations graphed below?
( y = -2x + 4 )
( y = x - 5 )
text description for graph
a. ( (3, -2) )
b. ( (0, 4) )
c. ( (0, -5) )
d. ( (3, 2) )

Explanation:

Step1: Set equations equal

Since \( y = -2x + 4 \) and \( y = x - 5 \), set \( -2x + 4 = x - 5 \).

Step2: Solve for x

Add \( 2x \) to both sides: \( 4 = 3x - 5 \).
Add 5 to both sides: \( 9 = 3x \).
Divide by 3: \( x = 3 \).

Step3: Find y

Substitute \( x = 3 \) into \( y = x - 5 \): \( y = 3 - 5 = -2 \).

Answer:

A. (3, -2)