Solve for x
x=\frac{2y}{3}
y\neq 0
Solve for y
y=\frac{3x}{2}
x\neq 0
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3\times 14x=28y
Multiply both sides of the equation by 48y, the least common multiple of 16y,12.
42x=28y
Multiply 3 and 14 to get 42.
\frac{42x}{42}=\frac{28y}{42}
Divide both sides by 42.
x=\frac{28y}{42}
Dividing by 42 undoes the multiplication by 42.
x=\frac{2y}{3}
Divide 28y by 42.
3\times 14x=28y
Variable y cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 48y, the least common multiple of 16y,12.
42x=28y
Multiply 3 and 14 to get 42.
28y=42x
Swap sides so that all variable terms are on the left hand side.
\frac{28y}{28}=\frac{42x}{28}
Divide both sides by 28.
y=\frac{42x}{28}
Dividing by 28 undoes the multiplication by 28.
y=\frac{3x}{2}
Divide 42x by 28.
y=\frac{3x}{2}\text{, }y\neq 0
Variable y cannot be equal to 0.
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