Solve for x
x=\frac{4-y}{5}
Solve for y
y=4-5x
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10x-8=-2y
Subtract 2y from both sides. Anything subtracted from zero gives its negation.
10x=-2y+8
Add 8 to both sides.
10x=8-2y
The equation is in standard form.
\frac{10x}{10}=\frac{8-2y}{10}
Divide both sides by 10.
x=\frac{8-2y}{10}
Dividing by 10 undoes the multiplication by 10.
x=\frac{4-y}{5}
Divide -2y+8 by 10.
2y-8=-10x
Subtract 10x from both sides. Anything subtracted from zero gives its negation.
2y=-10x+8
Add 8 to both sides.
2y=8-10x
The equation is in standard form.
\frac{2y}{2}=\frac{8-10x}{2}
Divide both sides by 2.
y=\frac{8-10x}{2}
Dividing by 2 undoes the multiplication by 2.
y=4-5x
Divide -10x+8 by 2.
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