\left\{ \begin{array} { l } { x = y + 1 } \\ { x + 2 z = - 4 } \\ { y - z = 1 } \end{array} \right.
Solve for x, y, z
x=0
y=-1
z=-2
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1+y+2z=-4
Substitute 1+y for x in the equation x+2z=-4.
y=-5-2z z=y-1
Solve the second equation for y and the third equation for z.
z=-5-2z-1
Substitute -5-2z for y in the equation z=y-1.
z=-2
Solve z=-5-2z-1 for z.
y=-5-2\left(-2\right)
Substitute -2 for z in the equation y=-5-2z.
y=-1
Calculate y from y=-5-2\left(-2\right).
x=-1+1
Substitute -1 for y in the equation x=y+1.
x=0
Calculate x from x=-1+1.
x=0 y=-1 z=-2
The system is now solved.
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