Solve for x
x=\frac{5y}{3}-1
Solve for y
y=\frac{3\left(x+1\right)}{5}
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-3x-3=-5y
Subtract 5y from both sides. Anything subtracted from zero gives its negation.
-3x=-5y+3
Add 3 to both sides.
-3x=3-5y
The equation is in standard form.
\frac{-3x}{-3}=\frac{3-5y}{-3}
Divide both sides by -3.
x=\frac{3-5y}{-3}
Dividing by -3 undoes the multiplication by -3.
x=\frac{5y}{3}-1
Divide -5y+3 by -3.
5y-3=3x
Add 3x to both sides. Anything plus zero gives itself.
5y=3x+3
Add 3 to both sides.
\frac{5y}{5}=\frac{3x+3}{5}
Divide both sides by 5.
y=\frac{3x+3}{5}
Dividing by 5 undoes the multiplication by 5.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Linear equation
y = 3x + 4
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Simultaneous equation
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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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