Question

Solve by matrix 2c+4p+2b=34, c+3p+b=22 , 3c+2b=17

Answer 1

9514 1404 393

Answer:

(c, p, b) = (3, 5, 4)

Explanation:

A matrix solver is useful for this purpose. Most graphing calculators will do this, as will a number of web sites. Attached is the output from math software that also solves the matrix equation easily.

The solution is (c, p, b) = (3, 5, 4).

_____

The augmented matrix for the given set of equations is ...

`\left[\begin{array}c2&4&2&34\\1&3&1&22\\3&0&2&17\end{array}\right]`