Solve for x
x=\frac{5\left(y+2\right)}{4}
Solve for y
y=\frac{4x}{5}-2
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\frac{4}{5}x-2=y
Swap sides so that all variable terms are on the left hand side.
\frac{4}{5}x=y+2
Add 2 to both sides.
\frac{\frac{4}{5}x}{\frac{4}{5}}=\frac{y+2}{\frac{4}{5}}
Divide both sides of the equation by \frac{4}{5}, which is the same as multiplying both sides by the reciprocal of the fraction.
x=\frac{y+2}{\frac{4}{5}}
Dividing by \frac{4}{5} undoes the multiplication by \frac{4}{5}.
x=\frac{5y}{4}+\frac{5}{2}
Divide y+2 by \frac{4}{5} by multiplying y+2 by the reciprocal of \frac{4}{5}.
Examples
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Linear equation
y = 3x + 4
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Matrix
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Simultaneous equation
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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