Solve for x
x=200-20z-10y
Solve for y
y=-\frac{x}{10}-2z+20
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0.5x+10z=100-5y
Subtract 5y from both sides.
0.5x=100-5y-10z
Subtract 10z from both sides.
0.5x=100-10z-5y
The equation is in standard form.
\frac{0.5x}{0.5}=\frac{100-10z-5y}{0.5}
Multiply both sides by 2.
x=\frac{100-10z-5y}{0.5}
Dividing by 0.5 undoes the multiplication by 0.5.
x=200-20z-10y
Divide 100-5y-10z by 0.5 by multiplying 100-5y-10z by the reciprocal of 0.5.
5y+10z=100-0.5x
Subtract 0.5x from both sides.
5y=100-0.5x-10z
Subtract 10z from both sides.
5y=-\frac{x}{2}-10z+100
The equation is in standard form.
\frac{5y}{5}=\frac{-\frac{x}{2}-10z+100}{5}
Divide both sides by 5.
y=\frac{-\frac{x}{2}-10z+100}{5}
Dividing by 5 undoes the multiplication by 5.
y=-\frac{x}{10}-2z+20
Divide 100-\frac{x}{2}-10z by 5.
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