Solve for x
x=\frac{3y+7}{2}
Solve for y
y=\frac{2x-7}{3}
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2x-7=3y
Add 3y to both sides. Anything plus zero gives itself.
2x=3y+7
Add 7 to both sides.
\frac{2x}{2}=\frac{3y+7}{2}
Divide both sides by 2.
x=\frac{3y+7}{2}
Dividing by 2 undoes the multiplication by 2.
-3y-7=-2x
Subtract 2x from both sides. Anything subtracted from zero gives its negation.
-3y=-2x+7
Add 7 to both sides.
-3y=7-2x
The equation is in standard form.
\frac{-3y}{-3}=\frac{7-2x}{-3}
Divide both sides by -3.
y=\frac{7-2x}{-3}
Dividing by -3 undoes the multiplication by -3.
y=\frac{2x-7}{3}
Divide -2x+7 by -3.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Simultaneous equation
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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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