Equation Systems

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)

2x + 3y = 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.

Next: Systems Resolution