### Home > ACC7 > Chapter 5 Unit 3 > Lesson CC3: 5.2.3 > Problem5-47

5-47.

Ariyonne claims that $(3,6)$ is the point of intersection of the lines $y=4x−2$ and $y=\frac{1}{2}x+5$. Is she correct? How do you know?

A point of intersection means that a certain point makes both equations true.

Substitute Ariyonne's point into both equations. Does it make them both true?