Mathematics
Grade 12
45 min
Determine the number of solutions to a system of equations in three variables
Tutorial Preview
1
How many solutions? System: x+y+z=6; 2x-y+z=3; x+2y-z=2
2
How many solutions? System: x+y+z=5; 2x+2y+2z=12; x-y=1
3
How many solutions? System: x+y+z=4; 2x+2y+2z=8; x+z=3
Sample Practice Questions
Easy
How many solutions does this system have? System: x+y+z=9; x-y+z=3; x+y-z=1
0.One
1.None
2.Infinite
3.Two
Easy
How many solutions does this system have? System: x+y+z=2; 3x+3y+3z=9; y+z=1
0.One
1.None
2.Infinite
3.Two
Easy
How many solutions does this system have? System: x+y+z=5; 2x+2y+2z=10; x-y=0
0.One
1.None
2.Infinite
3.Two
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