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
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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
The substitution method is an algebraic technique for solving systems of equations that provides an exact answer.
- 2
To use the substitution method, first solve one equation for one variable, then substitute that expression into the other equation.
- 3
After solving for one variable, substitute its value back into an equation to find the other variable, which gives you an (x, y) pair that satisfies both equations.
Part 3 of 4
Practice
6 questions
What is the primary goal of the substitution method when solving a system of two linear equations?
Given the system of equations: y = 3x - 2 and 4x + y = 12. Solve for x and y using the substitution method.
Part 4 of 4
Exit ticket
Quick comprehension check
“Solve the following system of linear equations using the substitution method. Show all steps. y = x + 3 2x + y = 9”
Sample answer included in the free materials
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