Solving Systems of Equations by Substitution

Free to teach as-is — the teacher guide, student handout, and slides are included.

Free — we'll email you an access link. Google Docs format.

Objective

I can solve a system of equations using substitution.

Part 1 of 4

Warm-up video

Khan Academy · 9:21Vetted channel

We don't generate video — this one is by Khan Academy on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.

Part 2 of 4

Key concepts

3 concepts

  1. 1

    The substitution method involves solving for one variable in one equation and substituting that expression into the other equation.

  2. 2

    When using substitution, the goal is to create a single equation with one unknown variable that can be solved.

  3. 3

    After finding the value of one variable, substitute it back into either of the original equations to solve for the remaining variable.

Part 3 of 4

Practice

8 questions

1

What is the primary goal when solving a system of equations?

2

In the substitution method, what is the first step you should take?

Part 4 of 4

Exit ticket

Quick comprehension check

Solve the following system of equations using substitution: y = 2x + 1, 3x + 2y = 16. Show all steps.

Sample answer included in the free materials

Get the materials

Teacher guide, student handout, and slides — free, in Google Docs format

  • Teacher Guide

    Complete lesson plan with answer keys and alternate activities

  • Student Handout

    Printable worksheet

  • Slides

    Ready to present

We'll ask for your email to send your access link — nothing else.

Teaching a group at a different level?

Where are your students right now? We'll rebuild this lesson to match — including the teacher guide, student handout, and slides, saved to your Google Drive.

Adapt This Lesson