Solve for x
x=\frac{5\left(y-6\right)}{2}
Solve for y
y=\frac{2\left(x+15\right)}{5}
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2x+30=5y
Multiply 5 and 6 to get 30.
2x=5y-30
Subtract 30 from both sides.
\frac{2x}{2}=\frac{5y-30}{2}
Divide both sides by 2.
x=\frac{5y-30}{2}
Dividing by 2 undoes the multiplication by 2.
x=\frac{5y}{2}-15
Divide -30+5y by 2.
2x+30=5y
Multiply 5 and 6 to get 30.
5y=2x+30
Swap sides so that all variable terms are on the left hand side.
\frac{5y}{5}=\frac{2x+30}{5}
Divide both sides by 5.
y=\frac{2x+30}{5}
Dividing by 5 undoes the multiplication by 5.
y=\frac{2x}{5}+6
Divide 30+2x by 5.
Examples
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y = 3x + 4
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\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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