Solving Systems of Equations
Learning Objective
I can solve systems of linear equations using substitution and elimination.
Key Concepts
The elimination technique involves adding two equations together in a way that one of the variables is eliminated.
To eliminate a variable, you may need to multiply one or both equations by a constant so that the coefficients of one variable are opposites.
Once you solve for one variable, you can substitute that value back into either of the original equations to solve for the other variable.
Practice Questions
This lesson includes 12 practice questions to reinforce learning.
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1. What is the primary goal of using either substitution or elimination when solving a system of linear equations?
2. In the elimination method, why is it sometimes necessary to multiply one or both equations by a constant?
3. Consider the system: 4x + 3y = 10 and 2x - y = 2. By what constant could you multiply the second equation so that the 'x' terms will cancel when you eliminate?
...and 9 more questions
Educational Video
Using Elimination to Solve Systems
Brian McLogan