Solve for m
m=\frac{3p-7}{2}
Solve for p
p=\frac{2m+7}{3}
Share
Copied to clipboard
m=7-3p+3m
Use the distributive property to multiply -3 by p-m.
m-3m=7-3p
Subtract 3m from both sides.
-2m=7-3p
Combine m and -3m to get -2m.
\frac{-2m}{-2}=\frac{7-3p}{-2}
Divide both sides by -2.
m=\frac{7-3p}{-2}
Dividing by -2 undoes the multiplication by -2.
m=\frac{3p-7}{2}
Divide 7-3p by -2.
m=7-3p+3m
Use the distributive property to multiply -3 by p-m.
7-3p+3m=m
Swap sides so that all variable terms are on the left hand side.
-3p+3m=m-7
Subtract 7 from both sides.
-3p=m-7-3m
Subtract 3m from both sides.
-3p=-2m-7
Combine m and -3m to get -2m.
\frac{-3p}{-3}=\frac{-2m-7}{-3}
Divide both sides by -3.
p=\frac{-2m-7}{-3}
Dividing by -3 undoes the multiplication by -3.
p=\frac{2m+7}{3}
Divide -2m-7 by -3.
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}