How would you find x and y?

[2x 1] [1 3] [-4 -9]
=
[2 0] [2 -y] [2 6]

3 answers

Not familiar with that notation. What is being equated?
Hmmm.
If you want to multiply matrices
[2x 1]
[2 0]
and
[1 3]
[2 -y]
then the result is
[2x+2 6x-y]
[2 6]
and we need

2x+2 = -4
6x-y = -9
so
(x,y) = (-3,-9)
wolframalpha.com can help with this kind of stuff.

To see the product of the matrices, just enter

{{2x,1},{2,0}}*{{1,3},{2,-y}}

To see the actual solution, enter

solve {{2x,1},{2,0}}*{{1,3},{2,-y}} = {{-4,-9},{2,6}}
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