topic badge

4.02 Solving systems using substitution

Adaptive
Worksheet

Interactive practice questions

Gwen has a total of $\$11500$$11500, which she has put into two accounts. She has four times as much money in her savings account as in her checking account.

Let $x$x represent the amount in her checking account and let $y$y represent the amount in her savings account.

Write a system of two equations that describes all the information provided, giving both equations on the same line separated by a comma. You do not need to solve the system.

Easy
2min

We want to solve the following system of equations using the substitution method.

Equation 1 $y=6x+14$y=6x+14
Equation 2 $y=2x+2$y=2x+2
Medium
3min

We want to solve the following system of equations using the substitution method.

Equation 1 $y=x+5$y=x+5
Equation 2 $x+2y=22$x+2y=22
Medium
3min

We want to solve the following system of equations using the substitution method.

Equation 1 $x=7-2y$x=72y
Equation 2 $3x+4y=11$3x+4y=11
Medium
3min
Sign up to access Practice Questions
Get full access to our content with a Mathspace account

Outcomes

A.CED.A.3

Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or nonviable options in a modeling context.

A.REI.C.6

Solve systems of linear equations exactly and approximately (e.g. With graphs), focusing on pairs of linear equations in two variables.

What is Mathspace

About Mathspace