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

The main goal is to solve for one variable in one equation and substitute that expression into the other equation, resulting in a single equation with one variable.

In the context of solving systems of equations, what does it mean to 'satisfy both equations'?

To satisfy both equations means to find values for the variables that make both equations true simultaneously.

When is the substitution method particularly useful for solving systems of equations?

The substitution method is particularly useful when one of the equations is already solved for one variable or can be easily solved for one variable.

Solving Systems of Equations with Substitution

9th GradeMath45 min

Learning Objective

I can solve systems of linear equations using substitution.

Lesson Flow

Watch Video

10 min

Solving linear systems by substitution | Algebra Basics | Khan Academy

Khan Academy

Guided Notes

9 min

Key concepts students will learn:

•
The substitution method involves solving for one variable in one equation and substituting that expression into the other equation.
•
When using substitution, the goal is to create a single equation with one unknown variable.
•
After solving for one variable, substitute that value back into either of the original equations to solve for the remaining variable.

Practice

14 min

8 questions • Short answer

Exit Ticket

5 min

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

Teacher Guide

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Answer keys for all questions
Differentiation strategies
Extension activities
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Solving Systems of Equations with Substitution

Learning Objective

Lesson Flow

Watch Video

Guided Notes

Practice

Exit Ticket

Teacher Guide

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