Solving Linear Systems by Graphing
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Objective
I can solve systems of linear equations by graphing.
Part 1 of 3
Key concepts
3 concepts
- 1
A system of linear equations consists of two or more linear equations that share the same variables, and solving it means finding values that satisfy all equations simultaneously.
- 2
When solving a system by graphing, the point of intersection of the lines represents the solution, where its x and y coordinates make both equations true.
- 3
If the lines in a system are parallel and never intersect, there is no solution; however, if the equations represent the exact same line, there are infinitely many solutions.
Part 2 of 3
Practice
7 questions
Based on the reading passage, what defines a system of linear equations?
When solving a system of linear equations by graphing, what does the point where the lines intersect represent?
Part 3 of 3
Exit ticket
Quick comprehension check
“Solve the following system of linear equations by graphing. Identify the coordinates of the point of intersection and verify your solution by substituting the coordinates into both original equations.y = x + 1y = -x + 3”
Sample answer included in the free materials
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