### Home > GB8I > Chapter 11 Unit 12 > Lesson INT1: 11.1.3 > Problem11-37

11-37.

Solve this system of equations:

$\begin{array}{l} y = \frac{2}{3}x - 4 \\ 2x - 3y = 10 \end{array}$

Try using the Substitution Method.

No solution.

1. What does your solution tell you about the relationship between the lines?

When a solution exists it represents the point where the lines intersect.

2. Solve the second equation for $y$.

$y=-\frac{10}{3}+\frac{2}{3}x$ or $y=\frac{2}{3}x-\frac{10}{3}$

3. Does the slope of each line confirm your statement in part (a)? Explain how.

What can you say about lines that have the same slopes?