Solve for x
x=\frac{48}{y}
y\neq 0
Solve for y
y=\frac{48}{x}
x\neq 0
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y\left(12+x\right)=12\left(y+4\right)
Multiply both sides of the equation by 12y, the least common multiple of 12,y.
12y+yx=12\left(y+4\right)
Use the distributive property to multiply y by 12+x.
12y+yx=12y+48
Use the distributive property to multiply 12 by y+4.
yx=12y+48-12y
Subtract 12y from both sides.
yx=48
Combine 12y and -12y to get 0.
\frac{yx}{y}=\frac{48}{y}
Divide both sides by y.
x=\frac{48}{y}
Dividing by y undoes the multiplication by y.
y\left(12+x\right)=12\left(y+4\right)
Variable y cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 12y, the least common multiple of 12,y.
12y+yx=12\left(y+4\right)
Use the distributive property to multiply y by 12+x.
12y+yx=12y+48
Use the distributive property to multiply 12 by y+4.
12y+yx-12y=48
Subtract 12y from both sides.
yx=48
Combine 12y and -12y to get 0.
xy=48
The equation is in standard form.
\frac{xy}{x}=\frac{48}{x}
Divide both sides by x.
y=\frac{48}{x}
Dividing by x undoes the multiplication by x.
y=\frac{48}{x}\text{, }y\neq 0
Variable y cannot be equal to 0.
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