Solve for x
x=\frac{1}{2}-y
Solve for y
y=\frac{1}{2}-x
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\frac{1}{4}\times 2=y+x
Multiply both sides by 2.
\frac{1}{2}=y+x
Multiply \frac{1}{4} and 2 to get \frac{1}{2}.
y+x=\frac{1}{2}
Swap sides so that all variable terms are on the left hand side.
x=\frac{1}{2}-y
Subtract y from both sides.
\frac{1}{4}\times 2=y+x
Multiply both sides by 2.
\frac{1}{2}=y+x
Multiply \frac{1}{4} and 2 to get \frac{1}{2}.
y+x=\frac{1}{2}
Swap sides so that all variable terms are on the left hand side.
y=\frac{1}{2}-x
Subtract x from both sides.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
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y = 3x + 4
Arithmetic
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Matrix
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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