Solve for x, y, z
x=1
y=-1
z=0
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y=-4x-2z+3
Solve 4x+y+2z=3 for y.
-2x+3\left(-4x-2z+3\right)+5z=-5 x-3\left(-4x-2z+3\right)+4z=4
Substitute -4x-2z+3 for y in the second and third equation.
x=-\frac{1}{14}z+1 z=\frac{13}{10}-\frac{13}{10}x
Solve these equations for x and z respectively.
z=\frac{13}{10}-\frac{13}{10}\left(-\frac{1}{14}z+1\right)
Substitute -\frac{1}{14}z+1 for x in the equation z=\frac{13}{10}-\frac{13}{10}x.
z=0
Solve z=\frac{13}{10}-\frac{13}{10}\left(-\frac{1}{14}z+1\right) for z.
x=-\frac{1}{14}\times 0+1
Substitute 0 for z in the equation x=-\frac{1}{14}z+1.
x=1
Calculate x from x=-\frac{1}{14}\times 0+1.
y=-4-2\times 0+3
Substitute 1 for x and 0 for z in the equation y=-4x-2z+3.
y=-1
Calculate y from y=-4-2\times 0+3.
x=1 y=-1 z=0
The system is now solved.
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