I just need to see how to work this problem out, so I don't have to ask a question like this again..and I know what I'm doing ne
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Xy = -126
x + y = -65
x + y = -65
1.9 + y = -65
- 1.9 - 1.9
y = -66.9
(x, y) = (1.9, -66.9)
or
x + y = -65
-66.9 + y = -65
+ 66.9 + 66.9
y = 1.9
(x, y) = (-66.9, 1.9)
The two numbers that add up to -65 and can multiply to -126 are the numbers -66.9 and 1.9.
x + y = -65
x + y = -65
1.9 + y = -65
- 1.9 - 1.9
y = -66.9
(x, y) = (1.9, -66.9)
or
x + y = -65
-66.9 + y = -65
+ 66.9 + 66.9
y = 1.9
(x, y) = (-66.9, 1.9)
The two numbers that add up to -65 and can multiply to -126 are the numbers -66.9 and 1.9.
The given operation involves just swapping the two rows, so carrying out 
on the matrix gives
![\left[\begin{array}{cc|c}5&5&5\\1&-\dfrac23&5\end{array}\right]\to\left[\begin{array}{cc|c}1&-\dfrac23&5\\5&5&5\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Cc%7D5%265%265%5C%5C1%26-%5Cdfrac23%265%5Cend%7Barray%7D%5Cright%5D%5Cto%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Cc%7D1%26-%5Cdfrac23%265%5C%5C5%265%265%5Cend%7Barray%7D%5Cright%5D)