What is the primary goal of using the elimination method to solve a system of linear equations?

To eliminate one of the variables by adding the equations together.

Why is it sometimes necessary to multiply one or both equations by a constant before applying the elimination method?

To make the coefficients of one of the variables opposites.

Substitute the value found back into one of the original equations to solve for the remaining variable.

Substitute the x and y values into both original equations. If both equations are true, the solution is correct.

9th GradeMath60 min

aligned to Ky.hs.a.12, Ky.hs.a.14, Ky.hs.a.15, Ky.hs.a.18,

I can solve systems of linear equations using the elimination method.

5 min

Ex 2: Solve a System of Equations Using the Elimination Method

Mathispower4u

12 min

Key concepts students will learn:

•
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.

18 min

12 questions • Multiple choice & Short answer

5 min

“Solve the following system of equations using the elimination method. Show all your work. 2x + y = 7 x - y = 2”

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