Question

Given the system of equations match the following items

x + 3y = 5
x - 3y = -1

Options:
y-determinate
x-determinate
system determinate

Answer 1

x+3=y

Explanation:

Answer 2

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]`