Learn how to solve a word problem of a system of equations

The video tutorial explains how to define variables and create equations from word problems. It covers solving systems of equations with two unknowns, using a practical example involving $1 and $5 bills. The tutorial demonstrates isolating variables, substituting values, and verifying solutions to find the number of each type of bill. The focus is on understanding the relationship between equations representing quantity and worth.

Why is it important to define variables when setting up equations?

• To make the equations more complex

• To understand what each variable represents

• To ensure the equations are balanced

• To avoid using numbers

What does the equation x + y = 15 represent in the context of the problem?

• The total number of bills

• The total worth of the bills

• The number of $1 bills

• The number of $5 bills

How is the worth of the bills represented in the equations?

• x + 5y = 47

• 5x + 5y = 47

• 5x + y = 15

• x + y = 47

What is the first step in solving the system of equations using substitution?

• Switch the variables

• Multiply both equations by 2

• Isolate one of the variables

• Add the equations together

After solving the system, how many $1 bills are there?

• 5

• 8

• 7

• 15