System of Equations Elimination Add and Subtract

To eliminate a variable in the system, should you add the equations or subtract the equations?

• Add

• Subtract

• Neither

Answer explanation

We want to add the equations together in order to eliminate one of the variables. We have opposite terms (3x and -3x) that will "cancel/zero out" (be eliminated) when we add the equations together.

Solve the following using elimination.

• (10,-1)

• (-1,10)

• (-1,-10)

• (-10,-1)

Answer explanation

Solve using Elimination:

5x + y = 9

10x − 7y = −18

• (4, -11)

• (1, 4)

• (-1, 14)

• (-4, 29)

Answer explanation

________________ is a set of two or more equations that have the same variables.

• solution of a system

• elimination method

• system of equations

• table

Solve using Elimination Method:

x - y = 11

2x + y = 19

• (10,-1)

• (-1,10)

• (3,-4)

• (6,7)

Solve by elimination.

6x - y = 2

-3x - 6y = 12

• (2,0)

• no solution

• (0,-2)

• infinite solutions

Solve by elimination:

7x - 9y = 29

7x + 2y = - 15

• (-4,-1)

• (-1.-4)

• (-1,4)

• (-1,6)

Solve using Elimination Method:

4x+ 9y = 28

-4x -y = -28

• (-7,0)

• (6,0)

• (-6,0)

• (7,0)

• (6,7)

Solve using Elimination Method:

9x - 4y = 7

x - 4y = -17

• (-1,5)

• (-7,5)

• (7,5)

• (3,5)

What is the solution to this system of equations?

4x + y = 6

x - 2y = 6

• (2,-2)

• (1,2)

• ( 1/2 , 4 )

• (-2,2)

• (2, 4)