\left\{ \begin{array} { l } { x + y = 3.0 } \\ { y + z = 5.8 } \\ { z + x = 4 . } \end{array} \right.
Solve for x, y, z
x=0.6
y=2.4
z=3.4
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x=-y+3
Solve x+y=3 for x.
z-y+3=4
Substitute -y+3 for x in the equation z+x=4.
y=-z+5.8 z=y+1
Solve the second equation for y and the third equation for z.
z=-z+5.8+1
Substitute -z+5.8 for y in the equation z=y+1.
z=3.4
Solve z=-z+5.8+1 for z.
y=-3.4+5.8
Substitute 3.4 for z in the equation y=-z+5.8.
y=2.4
Calculate y from y=-3.4+5.8.
x=-2.4+3
Substitute 2.4 for y in the equation x=-y+3.
x=0.6
Calculate x from x=-2.4+3.
x=0.6 y=2.4 z=3.4
The system is now solved.
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