Solve for x
x=-\frac{y}{2}+6
Solve for y
y=12-2x
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y=-2x+6+6
Use the distributive property to multiply -2 by x-3.
y=-2x+12
Add 6 and 6 to get 12.
-2x+12=y
Swap sides so that all variable terms are on the left hand side.
-2x=y-12
Subtract 12 from both sides.
\frac{-2x}{-2}=\frac{y-12}{-2}
Divide both sides by -2.
x=\frac{y-12}{-2}
Dividing by -2 undoes the multiplication by -2.
x=-\frac{y}{2}+6
Divide y-12 by -2.
y=-2x+6+6
Use the distributive property to multiply -2 by x-3.
y=-2x+12
Add 6 and 6 to get 12.
Examples
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
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Matrix
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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
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