Question

It is possible for a system of linear equations to have no solutions?

Answer 1

yes.. if one equation is a multiple of another

Answer 2

ever see two people miss each other at a train station?

Answer 3

scalar equations are equal all over

Answer 4

Mashy, that's not correct.

Imagine you have two lines. The solution to the system is the points which those two lines have in common. Can you arrange two lines so they don't touch each other ever? How can this be accomplished?

Answer 5

can't i make them parallel?

Answer 6

Mind you, m not sure, just making an argument :)

Answer 7

If two equations are multiplies of each other you will find on graphing that they are actually the same line. But yes, if they are parallel the will not touch.

Answer 8

so the answer is yes if it becomes parellel

Answer 9

If they are parallel, but not the same line.

Answer 10

so, i cannot put the answer in the words that i did?

Answer 11

if we have y=3x+2, 2(y=3x+2) is a multiple.
2y=6x+4
divide both sides by two
y=3x+2

they are same line

Answer 12

oh well.. my bad :D.. sorry!!!

Answer 13

but someone already gave a medal :D

Answer 14

lol.
but barakcsilly whenever two lines have no intersection it said they have no solution
if two lines do intersect, then there is one solution
if the lines are the same, then there is infinitely many solutions