Solve for x
x=-\frac{80}{5y-48}
y\neq \frac{48}{5}
Solve for y
y=\frac{48}{5}-\frac{16}{x}
x\neq 0
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2\times 24\left(10-x\right)+5xy=400
Multiply both sides of the equation by 10, the least common multiple of 5,2.
48\left(10-x\right)+5xy=400
Multiply 2 and 24 to get 48.
480-48x+5xy=400
Use the distributive property to multiply 48 by 10-x.
-48x+5xy=400-480
Subtract 480 from both sides.
-48x+5xy=-80
Subtract 480 from 400 to get -80.
\left(-48+5y\right)x=-80
Combine all terms containing x.
\left(5y-48\right)x=-80
The equation is in standard form.
\frac{\left(5y-48\right)x}{5y-48}=-\frac{80}{5y-48}
Divide both sides by -48+5y.
x=-\frac{80}{5y-48}
Dividing by -48+5y undoes the multiplication by -48+5y.
2\times 24\left(10-x\right)+5xy=400
Multiply both sides of the equation by 10, the least common multiple of 5,2.
48\left(10-x\right)+5xy=400
Multiply 2 and 24 to get 48.
480-48x+5xy=400
Use the distributive property to multiply 48 by 10-x.
-48x+5xy=400-480
Subtract 480 from both sides.
-48x+5xy=-80
Subtract 480 from 400 to get -80.
5xy=-80+48x
Add 48x to both sides.
5xy=48x-80
The equation is in standard form.
\frac{5xy}{5x}=\frac{48x-80}{5x}
Divide both sides by 5x.
y=\frac{48x-80}{5x}
Dividing by 5x undoes the multiplication by 5x.
y=\frac{48}{5}-\frac{16}{x}
Divide -80+48x by 5x.
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