### Home > A2C > Chapter 2 > Lesson 2.1.1 > Problem 2-7

2-7.

Solve the following systems of equations algebraically. Then graph each system to confirm your solution. If you need help, refer to the Math Notes box in Lesson 2.1.1. 2-7 HW eTool (Desmos). Homework Help ✎

*x*+*y*= 3

*x*= 3*y*− 5*x − y*= − 5

*y*= −2*x*− 4

Replace *x* with 3*y* − 5.

Solve for *y*.

Solve for *x*.

Replace *y* with −2*x* − 4.

Solve for *x*.

Solve for *y*.

In the eTool below type points into the tables to explore where the two graphs intersect.

Click on the link at right for the full eTool version: A2C 2-7 HW eTool