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