Solve for x, y, z
x=43
y=31
z=11
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x=2y-3z+14
Solve x-2y+3z=14 for x.
-\left(2y-3z+14\right)+2y-2z=-3 2y-3z+14-3y+5z=5
Substitute 2y-3z+14 for x in the second and third equation.
z=11 y=2z+9
Solve these equations for z and y respectively.
y=2\times 11+9
Substitute 11 for z in the equation y=2z+9.
y=31
Calculate y from y=2\times 11+9.
x=2\times 31-3\times 11+14
Substitute 11 for z and 31 for y in the equation x=2y-3z+14.
x=43
Calculate x from x=2\times 31-3\times 11+14.
x=43 y=31 z=11
The system is now solved.
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