Solve for x
x=\frac{8-5y}{3}
Solve for y
y=\frac{8-3x}{5}
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3x=8-5y
Subtract 5y from both sides.
\frac{3x}{3}=\frac{8-5y}{3}
Divide both sides by 3.
x=\frac{8-5y}{3}
Dividing by 3 undoes the multiplication by 3.
5y=8-3x
Subtract 3x from both sides.
\frac{5y}{5}=\frac{8-3x}{5}
Divide both sides by 5.
y=\frac{8-3x}{5}
Dividing by 5 undoes the multiplication by 5.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
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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