### Home > AC > Chapter 7 > Lesson 7.2.1 > Problem7-58

7-58.

Solve this system of equations:

 $y=\frac{2}{3}x-4$$2x-3y=10$

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 $y$.

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

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?