Solve for c
c=\frac{p}{4}
Solve for p
p=4c
Share
Copied to clipboard
4p+\frac{1}{2}p=18c
Combine 3p and p to get 4p.
\frac{9}{2}p=18c
Combine 4p and \frac{1}{2}p to get \frac{9}{2}p.
18c=\frac{9}{2}p
Swap sides so that all variable terms are on the left hand side.
18c=\frac{9p}{2}
The equation is in standard form.
\frac{18c}{18}=\frac{9p}{2\times 18}
Divide both sides by 18.
c=\frac{9p}{2\times 18}
Dividing by 18 undoes the multiplication by 18.
c=\frac{p}{4}
Divide \frac{9p}{2} by 18.
4p+\frac{1}{2}p=18c
Combine 3p and p to get 4p.
\frac{9}{2}p=18c
Combine 4p and \frac{1}{2}p to get \frac{9}{2}p.
\frac{\frac{9}{2}p}{\frac{9}{2}}=\frac{18c}{\frac{9}{2}}
Divide both sides of the equation by \frac{9}{2}, which is the same as multiplying both sides by the reciprocal of the fraction.
p=\frac{18c}{\frac{9}{2}}
Dividing by \frac{9}{2} undoes the multiplication by \frac{9}{2}.
p=4c
Divide 18c by \frac{9}{2} by multiplying 18c by the reciprocal of \frac{9}{2}.
Examples
Quadratic equation
{ 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}