It is possible for a system of linear equations to have exactly two solutions.

TRUE or FALSE

***PLease explain!! :) THanks :)

Question

It is possible for a system of linear equations to have exactly two solutions.

TRUE or FALSE

***PLease explain!! :) THanks :)

jim_thompson5910 · Answer

Think of two straight lines

jim_thompson5910 · Answer

is it possible for them to intersect exactly twice?

anonymous · Answer

It depends on the number of variables you have and the number of equations of the system.

bahrom7893 · Answer

^2 linear equations.. two lines can't intersect more than once

anonymous · Answer

no i don't think so... :/

anonymous · Answer

and the intersection would be the solution right??

jim_thompson5910 · Answer

yes,  where two lines intersect is the solution of the system of equations

anonymous · Answer

oh okay so since there can only be one solution??? So the answer is FALSE ?

anonymous · Answer

|dw:1348973708881:dw|

anonymous · Answer

is that right? :D

jim_thompson5910 · Answer

well you have 3 options

a) exactly one solution
b) no solution
c) infinitely many solutions

jim_thompson5910 · Answer

none of which involve exactly 2 solutions, so yes, it's false

anonymous · Answer

so yay!! :) It's false then!!! :)

anonymous · Answer

thanks for all the help everybody!! :)