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Question
When using Cramer's Rule to solve the system of equations
containing 5x-y=5, -3x+y=-9 the denominator for the x and y
variables look like what determinant?

Answer
5x - y = 5
-3x + y = -9

|5,-1|
|-3,1|

D = ad - bc

D = (5 * 1) - (-1 * -3)
D = 5 - 3
D = 2

x =
|5,-1|
|-9,1|
------
2
x = (5 - 9)/2, (-4/2) = -2

y =
|5,5|
|-3,-9|
-------
2

y =  (-45 - (-15))/2, (-30)/2, -15

so

x = -2
y = -15

Info found at http://mathworld.wolfram.com/CramersRule.html

Not certain what you mean by "look like what determinant"

But i can tell you 5 - 3 = The determinant

Other than that, you can derive your answer from what i have shown you.

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