Solve for m
m\neq 0
x=0\text{ and }y\neq 0
Solve for x
x=0
m\neq 0\text{ and }y\neq 0
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12xm=3xm
Variable m cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 3my, the least common multiple of 3ym,ym.
12xm-3xm=0
Subtract 3xm from both sides.
9xm=0
Combine 12xm and -3xm to get 9xm.
m=0
Divide 0 by 9x.
m\in \emptyset
Variable m cannot be equal to 0.
12xm=3xm
Multiply both sides of the equation by 3my, the least common multiple of 3ym,ym.
12xm-3xm=0
Subtract 3xm from both sides.
9xm=0
Combine 12xm and -3xm to get 9xm.
9mx=0
The equation is in standard form.
x=0
Divide 0 by 9m.
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