Solve for x
x\neq 0
y=39
Solve for y
y=39
x\neq 0
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y\times 5x=13x\times 15
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 13xy, the least common multiple of 13x,y.
y\times 5x=195x
Multiply 13 and 15 to get 195.
y\times 5x-195x=0
Subtract 195x from both sides.
\left(y\times 5-195\right)x=0
Combine all terms containing x.
\left(5y-195\right)x=0
The equation is in standard form.
x=0
Divide 0 by 5y-195.
x\in \emptyset
Variable x cannot be equal to 0.
y\times 5x=13x\times 15
Variable y cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 13xy, the least common multiple of 13x,y.
y\times 5x=195x
Multiply 13 and 15 to get 195.
5xy=195x
The equation is in standard form.
\frac{5xy}{5x}=\frac{195x}{5x}
Divide both sides by 5x.
y=\frac{195x}{5x}
Dividing by 5x undoes the multiplication by 5x.
y=39
Divide 195x by 5x.
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