Given the system of equations match the following items x + 3y = 5 x - 3y = -1 Options: y-determinate x-determinate system determinate

Question

asked Sep 4, 2019 109k views

2 Answers

Gonzalo Contento · Answer 1 · 2019-09-09T17:55:40+0000

I think the second equation should be x + 3y = -1.

System determinate:

System determinate is nothing but the co-efficient matrix

Therefore, co-efficient matrix is
$\left[\begin{array}{cc}1&3\\1&3\\\end{array}\right]$

x-determinate

x determinate is obtained by replacing the first column of the system determinate by solution column.

Therefore, x-determinate is
$\left[\begin{array}{cc}5&3\\-1&3\\\end{array}\right]$

y-determinate

y determinate is obtained by replacing the second column of the system determinate by solution column.

Therefore, y-determinate is
$\left[\begin{array}{cc}1&5\\1&-1\\\end{array}\right]$