\left\{ \begin{array} { l } { x - z = 4 } \\ { z - 2 y = - 1 } \\ { x + y - z = - 1 } \end{array} \right.
Solve for x, z, y
x=-7
y=-5
z=-11
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x=z+4
Solve x-z=4 for x.
z+4+y-z=-1
Substitute z+4 for x in the equation x+y-z=-1.
z=2y-1 y=-5
Solve the second equation for z and the third equation for y.
z=2\left(-5\right)-1
Substitute -5 for y in the equation z=2y-1.
z=-11
Calculate z from z=2\left(-5\right)-1.
x=-11+4
Substitute -11 for z in the equation x=z+4.
x=-7
Calculate x from x=-11+4.
x=-7 z=-11 y=-5
The system is now solved.
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