Solve the System of Equations with Elimination

Use elimination or substitution to solve the systems.

• (4, 0, 2)

• (-4, 0, -2)

• (4, 0, -2)

What is the solution to the system?

• (-4,3,5)

• (2,-3,5)

• no solution

• infinitely many solutions

What is the solution to the system?

• (5,-3,2)

• (-3,5,2)

• no solution

• infinite solutions

Does the ordered triplet (2,1,-4) satisfy the system of equations above?

• Yes

• No

• No Clue

What if you are solving a system and the variables cancel out and you end up with a statement such as 3=3, what can you conclude about the system?

• the solution is 3

• there are no solutions

• you can't conclude anything

• there are infinite solutions

Tags

CCSS.8.EE.C.8B

Solve the system by elimination.

7x - y = -10

-7x + 5y = -6

• (-2, -4)

• (-2, -1)

• (-4, -1)

• (6, -8)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

a method to solving a system of equations by getting rid of one of the variables first to solve for the other variable. 

• Systems by Graphing

• Systems by Substitution

• Systems by Elimination

• Systems by Drawing

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the following using elimination.

x-y=11

2x+y=19

• (10,-1)

• (-1,10)

• (-1,-10)

• (-10,-1)

Answer explanation

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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

• Rewrite the equations so the variables are all on the same side and line up the like terms.

• Get both equations in slope-intercept form.

• Get both equations equal to zero.

• Put the x terms first.

Answer explanation

We need all of the variables on the same side so that we can eventually add the left side of both equations together and add the right side of both equations together.

If the variables aren't on the same side of the equal-sign, then we can't combine like terms.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve using Elimination:

5x + y = 9

10x − 7y = −18

• (4, -11)

• (1, 4)

• (-1, 14)

• (-4, 29)

Answer explanation

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6