Solve for x
x=2y-\frac{9}{2}
Solve for y
y=\frac{x}{2}+\frac{9}{4}
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4x+18=8y
Add 8y to both sides. Anything plus zero gives itself.
4x=8y-18
Subtract 18 from both sides.
\frac{4x}{4}=\frac{8y-18}{4}
Divide both sides by 4.
x=\frac{8y-18}{4}
Dividing by 4 undoes the multiplication by 4.
x=2y-\frac{9}{2}
Divide 8y-18 by 4.
-8y+18=-4x
Subtract 4x from both sides. Anything subtracted from zero gives its negation.
-8y=-4x-18
Subtract 18 from both sides.
\frac{-8y}{-8}=\frac{-4x-18}{-8}
Divide both sides by -8.
y=\frac{-4x-18}{-8}
Dividing by -8 undoes the multiplication by -8.
y=\frac{x}{2}+\frac{9}{4}
Divide -4x-18 by -8.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
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
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}