Question

What situation will result in a final answer of "Infinitely Many Solutions" when using Cramer's Rule?

Answer 1

The coefficient determinant D will equal zero, as will Dx and Dy.

Answer 2

So the answer is D, Dx and Dy will equal 0?

Answer 3

If D=0 and either Dx or Dy is not equal to zero, then there will be no solution.
If D is not equal to zero, you have a unique solution (x,y)

Answer 4

I see.

Answer 5

Yes, D=Dx=Dy=0 implies coincident lines.

Answer 6

Btw, is is probably easier in practice to simply compare y-intercepts than to compute two more determinants.

Answer 7

Thanks!

Answer 8

ax+by=c all you have to do is compare c/b for the two lines, because if D=0, the slopes must be the same.

Answer 9

np:})

Answer 10

Ill try that, thanks!