CPM Homework Help : AC Problem 4-91

Kenneth claims that (2, 0) is the point of intersection of the lines $y = −2x + 4$ and $y = x − 2$ . Is he correct? How do you know?

Hint:

Check his work by substituting (2, 0) into each equation.

Step 1:

$\begin{align*} y &= −2x + 4 \\ 0 &= −2\left(2\right) + 4 \end{align*}$

True or false?

Step 2:

Check the other equation.

Answer:

$\left(2, 0\right)$ is a solution to both equations, so it is where the two lines intersect.