(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.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Linear Algebra General Solution

**Physics Forums | Science Articles, Homework Help, Discussion**