Solve for x, y, z
x=1
y=2
z=1
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y=-2x+5z-1
Solve 2x+y-5z=-1 for y.
3x-\left(-2x+5z-1\right)+5z=6 x+2\left(-2x+5z-1\right)-7z=-2
Substitute -2x+5z-1 for y in the second and third equation.
x=1 z=x
Solve these equations for x and z respectively.
z=1
Substitute 1 for x in the equation z=x.
y=-2+5\times 1-1
Substitute 1 for x and 1 for z in the equation y=-2x+5z-1.
y=2
Calculate y from y=-2+5\times 1-1.
x=1 y=2 z=1
The system is now solved.
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