Posted by **Anonymous** on Friday, August 29, 2008 at 12:57pm.

which product represents the solution to the system 3x+4y=-2 and 2x+5y=6

[3 2]*[-2

[4 5] [6]

1/7[3 2]*[-2]

[4 5] [6]

[5 -2]*[-2]

[-4 3] [6]

1/7[5 -4]*[-2]

[-2 3] [6]

could someone explain

- product matrix -
**Reiny**, Friday, August 29, 2008 at 1:11pm
your given system can be written in the following matrix form

[ 5-4]*[x]=[-2]

[-2 3] [y] [6]

the inverse of the first matrix is

1/17 of

[ 5-4]

[-2 3]

if you multiply the left side by that inverse you get the identity matrix

[1 0]

[0 1]

of course you would then also multiply the right side by that , so it looks like the last answer is the correct one

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