3 Variable Systems by Elimination

Solve each system by elimination.

2x + y + 3z = 18

-2x − y + 2z = −18

2x - y - 2z = 6

• (6, 6, 0)

• (6, 0, 6)

• (-6, -6, 0)

-a - 2b + 4c = 2

-3a + 2b - 4c = 22

-a - 4c = 22

• (-6, -6, -4)

• (6, 6, 4)

• (6, -6, 4)

3a + 2b - 4c = 7

-3a − 2b + 5c = −8

-5a - 2b + 4c = −5

• (-1, 3 -1)

• (1, 3, 1)

• (3, 3, 1)

3x - 4y - 6z = -6

-3x - 5y + 6z = −21

3x + 5y + z = 14

• (0, 3, -1)

• (0, 3, 1)

• (3, 1, 0)

-2x - 2y - z = 4

2x + 2y - 6z = 10

x - 2y + 3z = −13

• (-3, 2, -2)

• (3, 2, 2)

• (3, -2, 2)

−2x + 2y + z = -9

2x - 2y + 2z = 18

-2x + z = -5

• (4, -2, 3)

• (4, 2, 3)

• (-4, -2, -3)

5x - 2y + 6z = 7

−5x + 6y − 6z = 1

-2x + 2y - 6z = -4

• (1, 2, 1)

• (1, -2, 1)

• (-1, 2, -1)