Question

If the graph of a system of linear equations shows 3 lines such that each line passes through poin tA and each pair of lines intersects at Point B, how many solutions?

Answer 1

hmm each line passes through point A
sounds to me like an intersection

then each pair intersects at point B

well, if it's a system of equations, the solution is only when all 3 graphs meet
at that point, their variables, have the same exact value on all 3 equations

Answer 2

So no solution, correct?

Answer 3

well you see
\(\text{If the graph of a system of linear equations shows 3 lines }\\
\text{such that }\color{green}{\text{ each line passes through point A }}\\
\text{,and each pair of lines intersects at Point B}\)

that tells me they all intersect at point A, if they do, then that's a solution

Answer 4

We answered it to have one solution and it was counted incorrect

Answer 5

hmmm well, is one I know that much, one at least
the 2nd part I don't quite follow it

"each pair of lines intersects at Point B"

more semantics issue than actual math really hehhe
if point B is has all 3 intersecting again, then is a 2nd solution

if they mean say lines A B and C

AB pair meets BC pair at point B,
if that's the case, they, yes, A B and C lines are intersecting again

Answer 6

the only way for 3 lines to go through 1 point (A) *and* each pair go through point B is for all 3 lines to be *the same line*
that means an infinite number of solutions.

Answer 7

Thanks phi. That makes sense.