Solve for x
x=-\frac{y}{14}-\frac{12}{7}
Solve for y
y=-14x-24
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y=-2x-9-12x-3-12
Calculate 3 to the power of 2 and get 9.
y=-14x-9-3-12
Combine -2x and -12x to get -14x.
y=-14x-12-12
Subtract 3 from -9 to get -12.
y=-14x-24
Subtract 12 from -12 to get -24.
-14x-24=y
Swap sides so that all variable terms are on the left hand side.
-14x=y+24
Add 24 to both sides.
\frac{-14x}{-14}=\frac{y+24}{-14}
Divide both sides by -14.
x=\frac{y+24}{-14}
Dividing by -14 undoes the multiplication by -14.
x=-\frac{y}{14}-\frac{12}{7}
Divide y+24 by -14.
y=-2x-9-12x-3-12
Calculate 3 to the power of 2 and get 9.
y=-14x-9-3-12
Combine -2x and -12x to get -14x.
y=-14x-12-12
Subtract 3 from -9 to get -12.
y=-14x-24
Subtract 12 from -12 to get -24.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
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}