Solving Systems of Linear Equations with Elimination Method

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

• Solve for one variable

• Subtract the equations

• Add the equations together

• Align the equations to match common variables

In the elimination method, what do you do if the variables are not lined up?

• Add a constant to both equations

• Divide both equations by the same number

• Rearrange one or both of the equations

• Multiply both equations by the same number

In the first example, what is the value of x after eliminating y?

• -4

• 4

• -5

• 5

After finding x = -4 in the first example, into which equation is this value substituted to find y?

• The second equation

• The first equation

• A new equation

• It doesn't matter

In the second example, what is the value of y after eliminating x?

• 4

• 3

• 2

• 1

In the second example, what is the final value of x?

• 5

• 2

• 4

• 3

What does it mean if the variables eliminate and you are left with a false statement?

• There is no solution

• There are infinite solutions

• There is one solution

• The solution is zero

In the third example, what false statement indicates no solution?

• 0 = 0

• 1 = 1

• 0 = -7

• 1 = -1

What does it mean if the variables eliminate and you are left with a true statement?

• The solution is zero

• There is no solution

• There are infinite solutions

• There is one solution

In the fourth example, what true statement indicates infinite solutions?

• 1 = -1

• 0 = -7

• 0 = 0

• 1 = 1