Consider the following problem:

Player Popcorn, in his last basketball match, hit **x** 2 point shoots and **y** 3-point shots. He hit 25 pitches and scored 55 points. How many 3-point shots did he hit?

We can translate this situation through two equations:

*x* + *y* = 25 **(total right throws)**

2*x* + 3*y* = 55 **(total points earned)**

These equations form a **system of equations.** It is usually indicated the system using **key**.

The ordered pair (20, 5), which makes both sentences true, is called **system solution**. A two-equation system with two variables has a **only solution**. Next we will learn how to troubleshoot such a system.