### Home > CC3MN > Chapter 10 > Lesson 10.3.1 > Problem10-81

10-81.

Jai was solving the system of equations below when something strange happened.

$y = −2x + 5$
$2y + 4x = 10$

1. Solve the system. What happened?

Use the substitution method and solve for $x$.

$x = ARN$ (All Real Numbers)

2. Graph the two lines on the same set of axes. What happened?

Put the equations in the $y = mx + b$ form.

3. How does your graph in part (b) explain your result in part (a)?

What does the graph show about the points of intersection these lines have?

Use the eTool below to help solve the problem.
Click the link at right for the full version of the eTool: 10-81 HW eTool