Mathematics Grade 12 45 min

Solve a system of equations in three variables using elimination

Tutorial Preview

1

Solve: x+y+z=2, x-y+2z=1, 2x+y-z=7

2

Solve: x+y+z=2, 2x-y+3z=8, x+2y-z=-1

3

Solve: x+y+z=1, 2x+2y+2z=3, x-y-z=0

Sample Practice Questions

Easy
Solve the system: x+y+z=3, x-y+2z=2, 2x+y-z=2
0.(1, 1, 1)
1.(1, 2, 0)
2.(2, 1, 0)
3.No sol.
Easy
Solve the system: x+y+z=3, 2x-y+z=0, x+2y-z=5
0.(1, 0, 2)
1.(1, 2, 0)
2.(0, 2, 1)
3.No sol.
Easy
Solve the system: x+y+z=2, 2x+2y+2z=5, x-y+z=1
0.(1, 1, 0)
1.(1, 0, 1)
2.Infinite
3.No sol.

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