Easy Systems of Equations Elimination

The ordered pair that satisfies all equations in the system.

• system of equations

• function

• graph

• solution of a system

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

2x - 3y = 6
7x - 3y = -9

• (3,4)

• (4,-3)

• (-4,-3)

• (-3,-4)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Intersecting lines have _____ solution(s).

• No

• One

• many

Tags

CCSS.8.EE.C.8A

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

• you cannot solve this using eliminiation

• cross out the 2x and 3x, because when you add them, they equal 0

• cross out the 2y and -2y because when you add them, they equal 0

• change to slope intercept form and graph

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

When you solve these equations using the elimination method, which variable will be eliminated?

• The  x

• The  y

• The  z

• The unknown

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

The coefficients of the eliminated variable must be _____.

• opposites

• the same

• distinct

• does not matter

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Look for ____ when determining which variable to eliminate. Select all that apply

• same coefficeints with opposite signs

• easy numbers to multiply to (common factors)

• different coefficients

• vertical alignment of like terms

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

To find the second variable, substitute the x or y you solved for into one of the ____.

• original equations

• one of the manipulated equations

• the top equation, always

• the bottom equation, always

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Order the algorithm (steps) to elimination

• add vertically

• Determine the variable to eliminate

• Align like terms vertically

• multiply equation(s) to have opposite coefficients, if necessary

• Solve for variable

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Let's multiply the top equation by -2. What would be our new equation?

2x + 3y = 12

4x - 7y = - 54

• 4x - 6y = -24

• -4x - 6y = 12

• -4x - 6y = 24

• -4x - 6y = -24

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6