# MA.912.A.3.14 Solving Systems of Linear Equations

## Rationals-Discrete

Sections 6-1 to 6-6 Pages 333-367

## What You Need To Know...

Solve systems of linear equations  in two variables.

1. The benchmark will be assessed using MC (Multiple Choice) and FR (Fill in Response) items.
2. Items may ask students to write a system of equations or to solve a system of equations.

## Example One

Russ bought 3 medium and 2 large submarine sandwiches for a total of \$29.95. Stacy bought 4 medium and 1 large submarine sandwiches for a total of \$28.45.

Which statement shows the cost of each medium and each large sandwich?

A. Each medium sandwich costs \$5.69 and each large sandwich costs \$6.89.
B. Each medium sandwich costs \$5.69 and each large sandwich costs \$6.39.
C. Each medium sandwich costs \$5.39 and each large sandwich costs \$6.89.
D. Each medium sandwich costs \$5.39 and each large sandwich costs \$6.39.

## Example Two

x = y + 4
0.99x + 1.29y = 15.36

What is the exact number of songs Macy downloaded at the \$0.99 price?  Solve by Graphing 