### Home > CCA > Chapter 4 > Lesson 4.2.3 > Problem4-61

4-61.

Jai was solving the system of equations below when something strange happened. 4-61 HW eTool (Desmos). Homework Help ✎

$y=−2x+5$
$2y+4x=10$

1. Solve the system. Explain to Jai what the solution should be.

Use the substitution method and solve for $x$.

$x=$ all real numbers

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

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

3. Explain how the graph helps to explain your answer 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: CCA 4-61 HW eTool