anonymous
  • anonymous
Use Cramer's rule to solve the system of equations. { 2x+3y=4 x-2y=9
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
Are you studying matrices / linear algebra?
anonymous
  • anonymous
yes!
anonymous
  • anonymous
Great, so how far have you got until now?

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anonymous
  • anonymous
(If you're stuck from the beginning, that's fine too though!)
anonymous
  • anonymous
i understand how to do it, just the last step is where i mess up. I only know how to put them into the matrix sets, and solve those out. but i have no idea where to go from there.
anonymous
  • anonymous
As I remember it, you create a square matrix A (left hand side of the equation) and column (that's vertical) vector b (right side of the equation). To get x, you replace the first column of your square matrix with vector b, whereas for y you replace the second column of your square matrix with vector b instead. In both cases, you then take the determinant of the new matrix you've created, and divide by the determinant of the original square matrix A. Does that make sense?
anonymous
  • anonymous
If so, we can try it with the numbers now?
anonymous
  • anonymous
If that doesn't make sense, we can do it using Draw.
anonymous
  • anonymous
\[\left[\begin{matrix}2 & 3 \\ 1 & -2\end{matrix}\right]\left(\begin{matrix}x \\ y\end{matrix}\right)=\left(\begin{matrix}4 \\ 9\end{matrix}\right)\]
anonymous
  • anonymous
yea i understand,
anonymous
  • anonymous
Thanks iven5880!
anonymous
  • anonymous
I'm still working on it. I'm not goot at using this editor
anonymous
  • anonymous
So the original square matrix is the one that iven5880 has laid out, and whose determinant is 2*-2 -3*1 = -4-3=-7.
anonymous
  • anonymous
|dw:1327953451141:dw|
anonymous
  • anonymous
Awesome!
anonymous
  • anonymous
arricuhh, does that part make sense to you?
anonymous
  • anonymous
*airricuhh
anonymous
  • anonymous
So x = -35/-7 = 5
anonymous
  • anonymous
yea, i understand (:
anonymous
  • anonymous
Can you do the same thing for y?
anonymous
  • anonymous
can you help me with me it /:
anonymous
  • anonymous
OK, how are you going to start?
anonymous
  • anonymous
|dw:1327953694308:dw|
anonymous
  • anonymous
So y = 14/-7 = 2
anonymous
  • anonymous
oh, welll.. thank you iven5880! and thank you BasketWeave
anonymous
  • anonymous
You're welcome! Mostly thanks to iven5880 though, I'd say :D
anonymous
  • anonymous
:))
anonymous
  • anonymous
You're welcome and thanks BasketWeave
anonymous
  • anonymous
:)

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