Solving Linear Equations Elimination

Solve the system by elimination. 
−4x − 4y = 0
4x + 4y = 0 

• (−6, −4) 

• Infinite number of solutions  

• (−6, 10) 

• (6, 4) 

Solve the system of equations.
y = 4x+1
3x + 2y = 13

• (1, 5)

• (5, 1)

• (0.25, 2)

• ∅

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

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

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

• Substitution

• Elimination

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