How to Use the Elimination Method to Solve Systems

What variable do you eliminate, and what do you multiply the equation(s) by?

• You eliminate x, and multiply the top equation by -2

• You eliminate y, and multiply the top equation by 7

Solve for x and y
3x + 2y = 16
7x + y = 19

• (-2,5)

• (-2,-5)

• (2,-5)

• (2,5)

Solve the system:

x+ 3y = 9

2x+ y = −2

• (3,2)

• (-2, 2)

• (3, -4)

• (-3, 4)

• (0.5, -3)

What is the proper way to set up the equation to begin solving?

y = 6x − 11

−2x − 3y = −7

• -2(-11) -3y= -7

• -2(6x-11) -3y = -7

• -2x -3(11) = -7

• -2x - 3(6x-11)= -7

What is the first step in solving a system of equations by elimination/matrices?

• Get both equations in standard form and line up the like terms.

• Get both equations in slope-intercept form.

• Get both equations equal to zero.

• Put the x terms first.

Which method would be best for solving this system?

• Substitution

• Elimination/Matrices

Two or more linear equations with the same variables

• Set of Linear Equations

• System of Linear Equations

• Process of Linear Equations

• Multiple Linear Equations

Select all the methods you can use to solve a system of equations

• Graphing

• Elimination

• Substitution

• Using a Table

• Desmos

A method of solving a system of linear equations that creates like terms that add to zero

• Substitution Method

• Elimination Method

• Graphing Method

• Solving Method

Solve for x and y
y = 2x + 1
y = 4x - 1

• (1,3)

• (-1,-3)

• (-1,3)

• (3,1)