Question

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

Explanation:

Step1: Set the two - equations equal

Since \(y=-2x - 4\) and \(y=x + 2\), we set \(-2x-4=x + 2\).

Step2: Solve for \(x\)

Add \(2x\) to both sides: \(-4=x + 2+2x\), which simplifies to \(-4 = 3x+2\). Then subtract 2 from both sides: \(-4-2=3x\), so \(-6 = 3x\). Divide both sides by 3, we get \(x=-2\).

Step3: Solve for \(y\)

Substitute \(x = - 2\) into \(y=x + 2\), then \(y=-2 + 2=0\).

Answer:

The solution of the system of equations is \((-2,0)\)