Solve for x
x=-\frac{2y}{5}+\frac{9}{25}
Solve for y
y=-\frac{5x}{2}+\frac{9}{10}
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-15x+9-10x=10y
Subtract 10x from both sides.
-25x+9=10y
Combine -15x and -10x to get -25x.
-25x=10y-9
Subtract 9 from both sides.
\frac{-25x}{-25}=\frac{10y-9}{-25}
Divide both sides by -25.
x=\frac{10y-9}{-25}
Dividing by -25 undoes the multiplication by -25.
x=-\frac{2y}{5}+\frac{9}{25}
Divide 10y-9 by -25.
10x+10y=-15x+9
Swap sides so that all variable terms are on the left hand side.
10y=-15x+9-10x
Subtract 10x from both sides.
10y=-25x+9
Combine -15x and -10x to get -25x.
10y=9-25x
The equation is in standard form.
\frac{10y}{10}=\frac{9-25x}{10}
Divide both sides by 10.
y=\frac{9-25x}{10}
Dividing by 10 undoes the multiplication by 10.
y=-\frac{5x}{2}+\frac{9}{10}
Divide -25x+9 by 10.
Examples
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y = 3x + 4
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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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