Question

solve the system of equations graphed on the coordinate axes below.

$y = -4x - 1$

$y = 2x - 1$

Explanation:

Step1: Set the two equations equal

Since both equations are solved for \( y \), we can set them equal to each other: \( -4x - 1 = 2x - 1 \)

Step2: Solve for \( x \)

Add \( 4x \) to both sides: \( -1 = 6x - 1 \)
Add 1 to both sides: \( 0 = 6x \)
Divide by 6: \( x = 0 \)

Step3: Substitute \( x = 0 \) into one of the equations

Let's use \( y = 2x - 1 \). Substitute \( x = 0 \): \( y = 2(0) - 1 = -1 \)

Answer:

The solution to the system is \( (0, -1) \)