Solve for a
a=-\frac{p}{2}+w+\frac{5}{2}
Solve for p
p=2w-2a+5
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-2a=p-5-2w
Subtract 2w from both sides.
-2a=p-2w-5
The equation is in standard form.
\frac{-2a}{-2}=\frac{p-2w-5}{-2}
Divide both sides by -2.
a=\frac{p-2w-5}{-2}
Dividing by -2 undoes the multiplication by -2.
a=-\frac{p}{2}+w+\frac{5}{2}
Divide p-5-2w by -2.
p-5=2w-2a
Swap sides so that all variable terms are on the left hand side.
p=2w-2a+5
Add 5 to both sides.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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
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