Solving Systems of Equations with Elimination

What is the elimination method used for in solving 3-variable systems?

• To substitute variables in a system of equations

• To graphically represent a system of equations

• To find the determinant of a matrix

• To eliminate variables in a system of equations

Solve the following using elimination.
x-y=11
2x+y=19

• (10,-1)

• (-1,10)

• (-1,-10)

• (-10,-1)

Solve the following using elimination.
-4x-2y=-12
4x+8y=-24

• (6,-6)

• (-6,6)

• (6,6)

• (-6,-6)

Solve the following using elimination.
4x + 8y = 20
−4x + 2y = −30

• (-1, 7)

• (-7, 1)

• (7, -1)

• (1, -7)

Solve the following using elimination.
x − y = 11
2x + y = 19

• (-1, 10)

• (30, 19)

• (19, 30)

• (10, -1)

Solve the following using elimination.
4x+9y=28
-4x-y=-28

• (-7,0)

• (6,0)

• (-6,0)

• (7,0)

Solve the following using elimination.
-9x-4y=-20
5x+4y=4

• (-4,4)

• (4,4)

• (4,-4)

• (-4,-4)

Solve the following using elimination.
7x+y=-9
-3x-y=5

• No solution

• (1,8)

• (-2,-3)

• (-1,-2)

Solve the following using elimination.
7x-9y=29
7x+2y=-15

• (-4,-1)

• (-1.-4)

• (-1,4)

• (-1,6)

Solve by elimination:

7x+y=-9

-3x-y=5

• No solution

• (-1,8)

• (-2,-3)

• (-1,-2)