Question

question 8 of 10
solve the system of equations below by graphing both equations with a
pencil and paper. what is the solution?

y = 3x - 4
y = -2x + 1

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

Explanation:

Step1: Set the equations equal

Since both equations are solved for \( y \), we set \( 3x - 4=-2x + 1 \).

Step2: Solve for \( x \)

Add \( 2x \) to both sides: \( 3x+2x - 4=-2x+2x + 1 \), which simplifies to \( 5x - 4 = 1 \). Then add 4 to both sides: \( 5x-4 + 4=1 + 4 \), so \( 5x=5 \). Divide both sides by 5: \( x = 1 \).

Step3: Find \( y \)

Substitute \( x = 1 \) into \( y = 3x - 4 \): \( y=3(1)-4=3 - 4=-1 \).

Answer:

B. (1, -1)