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.

Answer 1

@Hero

Answer 2

@myko

Answer 3

no solution means lines do not cross. Agree?

Answer 4

yes, I agree.

Answer 5

so that means lines should be paralel, right?

Answer 6

yes.

Answer 7

I just have trouble solving it.

Answer 8

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.

Answer 9

determinant:

agree till now?