Solve for x
x=\frac{10-5z-4y}{3}
Solve for y
y=-\frac{3x}{4}-\frac{5z}{4}+\frac{5}{2}
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3x+5z=10-4y
Subtract 4y from both sides.
3x=10-4y-5z
Subtract 5z from both sides.
3x=10-5z-4y
The equation is in standard form.
\frac{3x}{3}=\frac{10-5z-4y}{3}
Divide both sides by 3.
x=\frac{10-5z-4y}{3}
Dividing by 3 undoes the multiplication by 3.
4y+5z=10-3x
Subtract 3x from both sides.
4y=10-3x-5z
Subtract 5z from both sides.
4y=10-5z-3x
The equation is in standard form.
\frac{4y}{4}=\frac{10-5z-3x}{4}
Divide both sides by 4.
y=\frac{10-5z-3x}{4}
Dividing by 4 undoes the multiplication by 4.
y=-\frac{3x}{4}-\frac{5z}{4}+\frac{5}{2}
Divide 10-3x-5z by 4.
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