Solve for x
x=\frac{y}{3}+\frac{2}{27}
Solve for y
y=3x-\frac{2}{9}
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27x=9y+2
Add 2 to both sides.
\frac{27x}{27}=\frac{9y+2}{27}
Divide both sides by 27.
x=\frac{9y+2}{27}
Dividing by 27 undoes the multiplication by 27.
x=\frac{y}{3}+\frac{2}{27}
Divide 9y+2 by 27.
9y=27x-2
Swap sides so that all variable terms are on the left hand side.
\frac{9y}{9}=\frac{27x-2}{9}
Divide both sides by 9.
y=\frac{27x-2}{9}
Dividing by 9 undoes the multiplication by 9.
y=3x-\frac{2}{9}
Divide 27x-2 by 9.
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y = 3x + 4
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Matrix
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Simultaneous equation
\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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