(adsbygoogle = window.adsbygoogle || []).push({}); The problem statement, all variables and given/known data

Find the general solution to the system:

[tex]ax+ by= 1[/tex]

[tex]cx+ dy= 2[/tex]

Consider the case when

[tex]ad- bc \neq 0[/tex]

The attempt at a solution

Like in my other post, I multiplied the first equation by "c" and the second equation by "a", and then I subtracted the two equations. I just seem to be stuck.

I got the following matrix:

[tex]0.....ad- bc.....2a- c[/tex]

[tex]ac.....ad.....2a[/tex]

Therefore, [tex](ad- bc)y= 2a- c[/tex]

But what relation can I deduce from this equation to help my determine a general solution for the system? The previous question I posted was much more obvious, where I was able to solve y= 0. But this isn't the case. I appreciate any help.

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# Linear Algebra General Solution

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