Solve for x, y, z
x=100
y=50
z=100
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y=-2x-z+350
Solve 2x+y+z=350 for y.
x-2x-z+350+2z=350 2x+2\left(-2x-z+350\right)+z=400
Substitute -2x-z+350 for y in the second and third equation.
x=z z=-2x+300
Solve these equations for x and z respectively.
z=-2z+300
Substitute z for x in the equation z=-2x+300.
z=100
Solve z=-2z+300 for z.
x=100
Substitute 100 for z in the equation x=z.
y=-2\times 100-100+350
Substitute 100 for x and 100 for z in the equation y=-2x-z+350.
y=50
Calculate y from y=-2\times 100-100+350.
x=100 y=50 z=100
The system is now solved.
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