Lesson Plan: Solving Systems of Equations by Substitution

In this second lesson of the Systems of Equations Unit, students will learn how to solve systems of equations using the substitution method. Substitution is an algebraic technique that allows students to find the solution to a system by replacing one variable with an equivalent expression.

Students will:

• Understand when substitution is the most efficient method for solving a system
• Learn step-by-step how to substitute one equation into another
• Solve for one variable and back-substitute to find the second variable
• Practice solving systems using substitution in a variety of contexts
• Apply the substitution method to real-world word problems

Designed for Algebra 1 and Algebra 2 students, this lesson aligns with Common Core standards and strengthens students’ problem-solving skills. Mastering substitution prepares students for solving systems by elimination and applying these methods in real-world situations.

This is the second lesson in an eight-part unit on systems of equations. Future lessons will introduce solving systems by elimination and analyzing different solution types.

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