Solving Systems of Equations
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Objective
I can solve systems of linear equations in two variables algebraically and graphically.
Part 1 of 3
Key concepts
3 concepts
- 1
A system of linear equations involves two or more equations with the same variables, and its solution is the point where their lines intersect on a graph.
- 2
Two algebraic methods for solving systems of linear equations are the substitution method and the elimination method.
- 3
If the lines in a system of linear equations are parallel, there is no solution; if they are the exact same line, there are infinitely many solutions.
Part 2 of 3
Practice
7 questions
What is a system of linear equations, and what is the primary goal when solving one?
Graphically, what does the solution to a system of two linear equations represent on a coordinate plane?
Part 3 of 3
Exit ticket
Quick comprehension check
“Solve the following system of linear equations both algebraically and graphically. Show all steps for your algebraic solution and clearly indicate the solution on your graph. y = 2x - 3 and y = -x + 3”
Sample answer included in the free materials
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