Solve for x
x=\frac{y-1}{12}
Solve for y
y=12x+1
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2+6x\times 2^{2}=2y
Divide 4 by 2 to get 2.
2+6x\times 4=2y
Calculate 2 to the power of 2 and get 4.
2+24x=2y
Multiply 6 and 4 to get 24.
24x=2y-2
Subtract 2 from both sides.
\frac{24x}{24}=\frac{2y-2}{24}
Divide both sides by 24.
x=\frac{2y-2}{24}
Dividing by 24 undoes the multiplication by 24.
x=\frac{y-1}{12}
Divide -2+2y by 24.
2+6x\times 2^{2}=2y
Divide 4 by 2 to get 2.
2+6x\times 4=2y
Calculate 2 to the power of 2 and get 4.
2+24x=2y
Multiply 6 and 4 to get 24.
2y=2+24x
Swap sides so that all variable terms are on the left hand side.
2y=24x+2
The equation is in standard form.
\frac{2y}{2}=\frac{24x+2}{2}
Divide both sides by 2.
y=\frac{24x+2}{2}
Dividing by 2 undoes the multiplication by 2.
y=12x+1
Divide 2+24x by 2.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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y = 3x + 4
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Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}