Solving Linear Equations by Elimination

When using the elimination method, what should be the goal when adding or subtracting the equations?

• To eliminate one of the variables

• To multiply the equations

• To square the equations

• To divide the equations

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

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

• Multiply both equations by a random number

• Divide both equations by a random number

• Add the two equations together without eliminating any variables

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

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?

x-y=11

2x+y=19

• 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

How many solutions does this system of equations have?

• One Solution

• No solution

• Infinitely Many Solutions

• Two Solutions

Should you use the Substitution or Elimination method to solve this system of equations?

• Substitution

• Elimination

Solve by elimination:
-9x-4y=-20

5x+4y=4

• (-4,4)

• (4,4)

• (4,-4)

• (-4,-4)

Solve by elimination:
7x+y=-9

-3x-y=5

• No solution

• (1,8)

• (-2,-3)

• (-1,-2)