Solve for x
x=\frac{5y+23}{2}
Solve for y
y=\frac{2x-23}{5}
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2x=2y+23+3y
Add 3y to both sides.
2x=5y+23
Combine 2y and 3y to get 5y.
\frac{2x}{2}=\frac{5y+23}{2}
Divide both sides by 2.
x=\frac{5y+23}{2}
Dividing by 2 undoes the multiplication by 2.
2x-3y-2y=23
Subtract 2y from both sides.
2x-5y=23
Combine -3y and -2y to get -5y.
-5y=23-2x
Subtract 2x from both sides.
\frac{-5y}{-5}=\frac{23-2x}{-5}
Divide both sides by -5.
y=\frac{23-2x}{-5}
Dividing by -5 undoes the multiplication by -5.
y=\frac{2x-23}{5}
Divide 23-2x by -5.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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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
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