Solving by Elimination Multiplying Both Equations

Identify which method for solving systems is being described by this fact: If like terms do not have a matching coefficient, multiplying one or both of the equations by a certain factor to transform the equations into a set of like terms with a matching set of coefficients.

• Graphing

• Substitution

• Elimination (adding or multiplying)

This system of equations would have ​ (a)   solution(s).

• one

• no

• infinitely many

The coefficients of the eliminated variable must be _____.

• the same number opposite signs (opposites)

• exactly the same

• completely different

• doesn't matter

x + 2y = -4
x - 2y = 8

• (2,5)

• (2,-3)

• (2,-2)

• (-3,2)

In the elimination method, what operation is used to eliminate one of the variables?

• Multiplication

• Addition or subtraction

• Division

• Exponentiation

What is the purpose of multiplying the equations in the elimination method?

• To waste time and effort

• To confuse the person solving the equations

• To make the equations look more complicated

• To create opposite coefficients for one of the variables

What is the first step in solving a system of linear equations using the elimination method?

• Divide the variables by the same number

• Align the variables by making the coefficients the same

• Ignore one of the variables

• Substitute the variables with random values

Which is the best method for solving this system of equations?

• Substitution

• Elimination

• Graphing

Which is the best method for solving this system of equations?

• Elimination

• Substitution

• Graphing

What is the next step after adding or subtracting the equations in the elimination method?

• Graph the equations to find the solution

• Solve for the remaining variable

• Divide the equations by a random number

• Multiply the equations by a random number