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)

Step-by-step 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).

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

  $\left[\begin{array}{ccc|c}2&4&2&34\\1&3&1&22\\3&0&2&17\end{array}\right]$