Solving Systems of Equations Using Elimination by Multiplication

• Multiply the first equation by 2.

• Multiply the second equation by 3.

• Add the equations together.

• Subtract one equation from the other.

• The system has no solution.

• The system has infinitely many solutions.

To eliminate the x-variable in the system of equations, multiply the second equation by which number?

• -3

• -2

• -1

• 0

Which method would be best (quickest) for solving the system below:

x + y = 11

3x - 4y = -2

• Making trials

• Elimination

• Graphing

• None of these

What would be the first step to solve this system by elimination?

2x+9y= -7

6x-3y= 9

• Add the equations

• Subtract the equations

• Write each equation in slope intercept form.

• Multiple the first equation by 3 or -3

Which strategy is the best choice for solving this system?

4x − 4y = 10

4x + 4y = 0

• Elimination

• Making trials

• Substitution

• Graphing

Which variable will be eliminated first?

• x

• y

What would be the first step in finding the solution using elimination?

• you cannot solve this using elimination

• cross out the 2x and 3x

• Add the like terms. The y terms will cancel out.

• change to slope intercept form and graph