### Home > CAAC > Chapter 7 > Lesson 7.2.1 > Problem 7-58

7-58.

Solve this system of equations: Homework Help ✎

*y*= − 42

*x*− 3*y*= 10What does your solution tell you about the relationship between the lines?

Solve the second equation for

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

Since the first equation is in *y* = form, solve using substitution.

2*x* − 2*x* + 12 = 10

12 = 10 What does this mean?

What does it mean when you solve a system of equations with two lines and there is no solution?

The lines do not intersect.

Subtract 2*x* from both sides.

Divide by −3.

The lines have the same slope. What kind of lines have the same slope?