Consider the following linear simultaneous equations.
mx-5y=10
3x-(m-2)y=6

Find the values of m, where m∈R, for which there infinitely many or no solutions.

Question

Consider the following linear simultaneous equations.
mx-5y=10
3x-(m-2)y=6

Find the values of m, where m∈R, for which there infinitely many or no solutions.

anonymous · Answer

@Hero

anonymous · Answer

@myko

anonymous · Answer

no solution means lines do not cross. Agree?

anonymous · Answer

yes, I agree.

anonymous · Answer

so that means lines should be paralel, right?

anonymous · Answer

yes.

anonymous · Answer

I just have trouble solving it.

anonymous · Answer

so I did Det A=0 and I got m=17 and I looked at the answers and it was wrong. I also went back to look at my working out but I can't seem to find out what I am doing incorrect.

anonymous · Answer

determinant:
|dw:1362739136015:dw|
agree till now?