Solve for P, B, M
P=8
B=17
M=26
Share
Copied to clipboard
B=P+9
Solve P+9=B for B.
P+P+9+M=51
Substitute P+9 for B in the equation P+B+M=51.
P=\frac{1}{2}M-5 M=42-2P
Solve the second equation for P and the third equation for M.
M=42-2\left(\frac{1}{2}M-5\right)
Substitute \frac{1}{2}M-5 for P in the equation M=42-2P.
M=26
Solve M=42-2\left(\frac{1}{2}M-5\right) for M.
P=\frac{1}{2}\times 26-5
Substitute 26 for M in the equation P=\frac{1}{2}M-5.
P=8
Calculate P from P=\frac{1}{2}\times 26-5.
B=8+9
Substitute 8 for P in the equation B=P+9.
B=17
Calculate B from B=8+9.
P=8 B=17 M=26
The system is now solved.
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}