Solving Systems of Equations with Substitution

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Objective

I can solve systems of linear 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.

  3. 3

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

Part 3 of 4

Practice

8 questions

1

What is the main goal when solving a system of equations using substitution?

2

Solve the following system of equations using substitution: y = 3x, x + y = 8

Part 4 of 4

Exit ticket

Quick comprehension check

Solve the system of equations using substitution: x + 3y = 10 and 2x + 4y = 20. Show all steps.

Sample answer included in the free materials

Get the materials

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