Solving Systems of Equations with Elimination

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

• Multiply both equations by zero

• Align the variables in each equation

• Add the equations together

• Subtract the equations from each other

In the first system, what operation is performed to eliminate the y variable?

• Multiply the bottom equation by 2

• Multiply the top equation by 2

• Multiply the top equation by 3

• Multiply the bottom equation by 3

How is the x variable isolated in the first system after eliminating y?

• By multiplying by 4

• By subtracting 4 from both sides

• By dividing by 4

• By adding 4 to both sides

In the second system, what is the result of adding the modified equations together?

• y = -6

• y = 6

• x = -7

• x = 7

What does it mean when all terms in a system of equations cancel out to zero?

• The system has no solution

• The system has infinite solutions

• The system has a unique solution

• The system is inconsistent

In the fourth system, what is the value of x after eliminating y?

• x = -3

• x = 3

• x = -2

• x = 2

What is the first step in solving the fifth system of equations?

• Add the equations together

• Subtract the equations from each other

• Rearrange the bottom equation

• Multiply both equations by 3

What does a false statement after elimination indicate about the system?

• The system has no solution

• The system is consistent

• The system has a unique solution

• The system has infinite solutions

In the sixth system, what is the final value of y?

• y = -6

• y = -3

• y = 6

• y = 3

What is the solution to the sixth system of equations?

• (-6, 3)

• (6, -3)

• (3, -6)

• (-3, 6)