topic badge

3.02 Solving systems of equations by substitution

Adaptive
Worksheet

Interactive practice questions

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
a

First, substitute $6x+14$6x+14 in place of $y$y in the second equation, and solve for $x$x.

b

Now, solve for $y$y.

Easy
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
Easy
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
Easy
3min

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

Easy
3min
Sign up to access Practice Questions
Get full access to our content with a Mathspace account

Outcomes

MA.912.AR.1.2

Rearrange equations or formulas to isolate a quantity of interest.

MA.912.AR.9.1

Given a mathematical or real-world context, write and solve a system of two-variable linear equations algebraically or graphically.

MA.912.AR.9.6

Given a real-world context, represent constraints as systems of linear equations or inequalities. Interpret solutions to problems as viable or non-viable options.

What is Mathspace

About Mathspace