Solve for x
x=\frac{3\left(y-4\right)}{8}
Solve for y
y=\frac{8x}{3}+4
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\frac{8}{3}x+4=y
Swap sides so that all variable terms are on the left hand side.
\frac{8}{3}x=y-4
Subtract 4 from both sides.
\frac{\frac{8}{3}x}{\frac{8}{3}}=\frac{y-4}{\frac{8}{3}}
Divide both sides of the equation by \frac{8}{3}, which is the same as multiplying both sides by the reciprocal of the fraction.
x=\frac{y-4}{\frac{8}{3}}
Dividing by \frac{8}{3} undoes the multiplication by \frac{8}{3}.
x=\frac{3y}{8}-\frac{3}{2}
Divide y-4 by \frac{8}{3} by multiplying y-4 by the reciprocal of \frac{8}{3}.
Examples
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
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Matrix
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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