Solving Equations with Substitution
Learning Objective
I can solve algebraic equations using substitution.
Key Concepts
When solving systems of equations with two variables, the solution is the ordered pair that makes both equations true.
In the substitution method, we replace a variable with an equivalent expression to solve the system.
When using substitution, once you solve for x, you can substitute that value into either equation to solve for y.
Practice Questions
This lesson includes 12 practice questions to reinforce learning.
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1. What is the main idea behind the substitution method when solving systems of equations?
2. Consider the system: y = x + 3 and y = 2x + 1. What is the first substitution step?
3. Solve the following system of equations using substitution: y = 3x, x + y = 8. What is the value of x?
...and 9 more questions
Educational Video
Solve Systems by Substitution (y = mx + b) Fast | Algebra Made Simple
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