Solve for x
x=\frac{3\left(y+5\right)}{5}
Solve for y
y=\frac{5\left(x-3\right)}{3}
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5x-15=3y
Add 3y to both sides. Anything plus zero gives itself.
5x=3y+15
Add 15 to both sides.
\frac{5x}{5}=\frac{3y+15}{5}
Divide both sides by 5.
x=\frac{3y+15}{5}
Dividing by 5 undoes the multiplication by 5.
x=\frac{3y}{5}+3
Divide 15+3y by 5.
-3y-15=-5x
Subtract 5x from both sides. Anything subtracted from zero gives its negation.
-3y=-5x+15
Add 15 to both sides.
-3y=15-5x
The equation is in standard form.
\frac{-3y}{-3}=\frac{15-5x}{-3}
Divide both sides by -3.
y=\frac{15-5x}{-3}
Dividing by -3 undoes the multiplication by -3.
y=\frac{5x}{3}-5
Divide -5x+15 by -3.
Examples
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y = 3x + 4
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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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