Question

x - y = -1
y = -4x - 4
click to select points on the graph.

Explanation:

Step1: Substitute \( y = -4x - 4 \) into \( x - y = -1 \)

Substitute the expression for \( y \) from the second equation into the first equation. So we have \( x - (-4x - 4) = -1 \). Simplify the left - hand side: \( x + 4x+4=-1 \), which combines to \( 5x + 4=-1 \).

Step2: Solve for \( x \)

Subtract 4 from both sides of the equation \( 5x + 4=-1 \). We get \( 5x=-1 - 4=-5 \). Then divide both sides by 5: \( x=\frac{-5}{5}=-1 \).

Step3: Solve for \( y \)

Substitute \( x = - 1 \) into the equation \( y=-4x - 4 \). So \( y=-4\times(-1)-4 = 4 - 4 = 0 \).

Answer:

The solution to the system of equations is \( x=-1,y = 0 \), so the intersection point (the solution of the system) is \((-1,0)\)