Question

solve the following system of equations graphically on the set of axes below.
$y = x + 8$
$y = -2x - 4$
plot two lines by clicking the graph.
click a line to delete it.

Explanation:

Step1: Find intersection by solving equations

Set \(x + 8=-2x - 4\).

Step2: Solve for x

Add \(2x\) to both sides: \(3x + 8=-4\).
Subtract 8: \(3x=-12\).
Divide by 3: \(x = - 4\).

Step3: Find y

Substitute \(x=-4\) into \(y=x + 8\): \(y=-4 + 8 = 4\).

Answer:

The solution is \((-4, 4)\)