Solve for x
x=\frac{-11y-44}{9}
Solve for y
y=-\frac{9x}{11}-4
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-\frac{9}{11}x-4=y
Swap sides so that all variable terms are on the left hand side.
-\frac{9}{11}x=y+4
Add 4 to both sides.
\frac{-\frac{9}{11}x}{-\frac{9}{11}}=\frac{y+4}{-\frac{9}{11}}
Divide both sides of the equation by -\frac{9}{11}, which is the same as multiplying both sides by the reciprocal of the fraction.
x=\frac{y+4}{-\frac{9}{11}}
Dividing by -\frac{9}{11} undoes the multiplication by -\frac{9}{11}.
x=\frac{-11y-44}{9}
Divide y+4 by -\frac{9}{11} by multiplying y+4 by the reciprocal of -\frac{9}{11}.
Examples
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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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