Question

solve this system of equations.
y = -4x + 2
y = 3x - 5
use the sketch tool or paper if it helps with your thinking.

Explanation:

Step1: Set the two equations equal

Since both equations are solved for \( y \), we can set \( -4x + 2 = 3x - 5 \).

Step2: Solve for \( x \)

Add \( 4x \) to both sides: \( 2 = 7x - 5 \).
Add 5 to both sides: \( 7 = 7x \).
Divide by 7: \( x = 1 \).

Step3: Substitute \( x = 1 \) into one equation

Use \( y = 3x - 5 \): \( y = 3(1) - 5 = -2 \).

Answer:

The solution is \( x = 1 \), \( y = -2 \) (or the ordered pair \( (1, -2) \)).