Solve for x
x=\frac{9y}{5}-2
Solve for y
y=\frac{5\left(x+2\right)}{9}
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5x=-10+9y
Add 9y to both sides.
5x=9y-10
The equation is in standard form.
\frac{5x}{5}=\frac{9y-10}{5}
Divide both sides by 5.
x=\frac{9y-10}{5}
Dividing by 5 undoes the multiplication by 5.
x=\frac{9y}{5}-2
Divide -10+9y by 5.
-9y=-10-5x
Subtract 5x from both sides.
-9y=-5x-10
The equation is in standard form.
\frac{-9y}{-9}=\frac{-5x-10}{-9}
Divide both sides by -9.
y=\frac{-5x-10}{-9}
Dividing by -9 undoes the multiplication by -9.
y=\frac{5x+10}{9}
Divide -10-5x by -9.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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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.
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\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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