Topic: Matrix Row Reduction

Question

asked Jul 4, 2022 8.1k views

1 Answer

Diand · Answer 1 · 2022-07-08T01:41:33+0000

Write the system as an augmented matrix:

$\left[\begin{array}cc1&5&22\\4&-7&7\end{array}\right]$

Add -4 (row 1) to row 2 :

$\left[\begin{array}cc1&5&22\\0&-27&-81\end{array}\right]$

Multiply row 2 by -1/27 :

$\left[\begin{array}c1&5&22\\0&1&3\end{array}\right]$

Add -5 (row 2) to row 1 :

$\left[\begin{array}c1&0&7\\0&1&3\end{array}\right]$

Then x = 7 and y = 3.