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x\times 8y=2
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 7x, the least common multiple of 7,7x.
8xy=2
Reorder the terms.
8yx=2
The equation is in standard form.
\frac{8yx}{8y}=\frac{2}{8y}
Divide both sides by 8y.
x=\frac{2}{8y}
Dividing by 8y undoes the multiplication by 8y.
x=\frac{1}{4y}
Divide 2 by 8y.
x=\frac{1}{4y}\text{, }x\neq 0
Variable x cannot be equal to 0.
x\times 8y=2
Multiply both sides of the equation by 7x, the least common multiple of 7,7x.
8xy=2
Reorder the terms.
\frac{8xy}{8x}=\frac{2}{8x}
Divide both sides by 8x.
y=\frac{2}{8x}
Dividing by 8x undoes the multiplication by 8x.
y=\frac{1}{4x}
Divide 2 by 8x.