\left\{ \begin{array} { l } { \frac { 1 } { x } = 1 } \\ { \frac { 1 } { y } = \frac { 1 } { 2 } } \end{array} \right.
Solve for x, y
x=1
y=2
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1=x
Consider the first equation. Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.
x=1
Swap sides so that all variable terms are on the left hand side.
2=y
Consider the second equation. Variable y cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 2y, the least common multiple of y,2.
y=2
Swap sides so that all variable terms are on the left hand side.
x=1 y=2
The system is now solved.
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