Solve for x
x=-\frac{2z}{5}-\frac{6y}{5}+5
Solve for y
y=-\frac{z}{3}-\frac{5x}{6}+\frac{25}{6}
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5x+2z=25-6y
Subtract 6y from both sides.
5x=25-6y-2z
Subtract 2z from both sides.
5x=25-2z-6y
The equation is in standard form.
\frac{5x}{5}=\frac{25-2z-6y}{5}
Divide both sides by 5.
x=\frac{25-2z-6y}{5}
Dividing by 5 undoes the multiplication by 5.
x=-\frac{2z}{5}-\frac{6y}{5}+5
Divide 25-6y-2z by 5.
6y+2z=25-5x
Subtract 5x from both sides.
6y=25-5x-2z
Subtract 2z from both sides.
6y=25-2z-5x
The equation is in standard form.
\frac{6y}{6}=\frac{25-2z-5x}{6}
Divide both sides by 6.
y=\frac{25-2z-5x}{6}
Dividing by 6 undoes the multiplication by 6.
y=-\frac{z}{3}-\frac{5x}{6}+\frac{25}{6}
Divide 25-5x-2z by 6.
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