Steps to Solving Systems by Elimination

Front

What is the first step in solving a system of equations by elimination?

Back

Identify the variable to eliminate and make the coefficients of that variable opposites.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Back

opposites.

Front

What do you do after eliminating one variable in a system of equations?

Back

Substitute the value of the solved variable into one of the original equations.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the solution to the system of equations: y = -3 and y = x + 5?

Back

(-8, -3)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

The coefficients of the eliminated variable must be ___.

Back

opposites.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the solution to the system of equations: y = 7 and y = x + 2?

Back

(5, 7)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the purpose of the elimination method in solving systems of equations?

Back

To eliminate one variable, making it easier to solve for the other variable.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What do you call the equations you start with in a system of equations?

Back

Original equations.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

In the elimination method, if the coefficients are the same, what must you do?

Back

Multiply one or both equations by a number to make the coefficients opposites.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the result of substituting a solved variable back into an equation?

Back

You find the value of the other variable.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6