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No. I don't get this at all.

My answer would be (12,2)?

no, answer is x, and y

How? Im so confused. It says to put my answer in as a ordered pair.

we have to use Cramer's rule to find (x,y)

Do you know what Cramer's rule is?

No thats what i am confused on

yes

What is the value of this determinant? \[D = \begin{vmatrix} -2&-4\\3&2\end{vmatrix}\]

good, that is D, the determinant of the coefficient matrix

32

And this one?\[D_y = \begin{vmatrix} -2&12\\3&2\end{vmatrix}\]

-32

try that one again

-40

ok, so we have found the values of the three determinants
D = 8,
D_x = 32,
D_y = -40.

so is my answer (32,-40)

Cramer's rule says that
x = D_x / D
y = D_y / D

(4,-5)

hmm, sounds about right, but lets check it

Yes they are both right

Woo hoo!
Then we have done it!

Thank you very much that helped so much.