Solving Systems of Equations by Elimination
Learning Objective
I can solve systems of linear equations using the elimination method.
Key Concepts
The elimination method involves adding two equations together in a way that eliminates one of the variables.
To eliminate a variable, the X or Y terms in the system of equations must be opposites.
After solving for one variable, substitute the value into either of the original equations to solve for the remaining variable and find the ordered pair solution.
Practice Questions
This lesson includes 12 practice questions to reinforce learning.
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1. What is the primary goal of using the elimination method to solve a system of linear equations?
2. Why is it sometimes necessary to multiply one or both equations by a constant before applying the elimination method?
3. Consider the system: 2x + 3y = 7 and 4x - y = 1. By what constant could you multiply the second equation so that the 'y' variable can be eliminated by adding the equations?
...and 9 more questions
Educational Video
Ex 2: Solve a System of Equations Using the Elimination Method
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