Consider the system(adsbygoogle = window.adsbygoogle || []).push({});

6x-3y=9

ax+y=-3

where a is a real number.

For which value of a has this system infinitely many solutions?

My intuition tells me this should be a straightforward problem but I am not sure how to get started with it. My effort so far has been to put the system in a matrix form to solve for a but I don't see how this enables us to find a value of a which gives infinitely many solutions.

Could someone tell me what it means for this system to have infinitely many solutions? Is the number 0 involved in here somewhere? Do we need to put x+y into an indentity form, so that any real number will work?

- Bardagath

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# Matrices related question

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