Question

solve the system of equations graphed on the coordinate axes below.
$y = -4x - 1$
$y = 3x - 1$

Explanation:

Step1: Set the equations equal

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

Step2: Solve for \( x \)

Add \( 4x \) to both sides: \( -1 = 7x - 1 \).
Add 1 to both sides: \( 0 = 7x \).
Divide by 7: \( x = 0 \).

Step3: Find \( y \)

Substitute \( x = 0 \) into \( y = 3x - 1 \): \( y = 3(0) - 1 = -1 \).

Answer:

The solution is \( (0, -1) \)