Solve for x
x=-3y
y\neq 0
Solve for y
y=-\frac{x}{3}
x\neq 0
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2x+3y\times 2=0
Multiply both sides of the equation by 3y.
2x+6y=0
Multiply 3 and 2 to get 6.
2x=-6y
Subtract 6y from both sides. Anything subtracted from zero gives its negation.
\frac{2x}{2}=-\frac{6y}{2}
Divide both sides by 2.
x=-\frac{6y}{2}
Dividing by 2 undoes the multiplication by 2.
x=-3y
Divide -6y by 2.
2x+3y\times 2=0
Variable y cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 3y.
2x+6y=0
Multiply 3 and 2 to get 6.
6y=-2x
Subtract 2x from both sides. Anything subtracted from zero gives its negation.
\frac{6y}{6}=-\frac{2x}{6}
Divide both sides by 6.
y=-\frac{2x}{6}
Dividing by 6 undoes the multiplication by 6.
y=-\frac{x}{3}
Divide -2x by 6.
y=-\frac{x}{3}\text{, }y\neq 0
Variable y cannot be equal to 0.
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Limits
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