Question

It's been a while since I did 'no solution/infinite' solution problems, could somebody explain to me the basics please? Thank you!

Here's one of the problems on my packet as an example:
3x-1+4(x)
a. x=1
b. infinite solutions
c. no solution
c.x=-1

Answer 1

the question is not an equation. post it in the form of an equation.

Answer 2

whoops, the complete problem is 3x-1+4(x)=-2
sorry :/

Answer 3

none of the above

Answer 4

so, does that mean no solution?
why is there no solution?

Answer 5

no, it doesn't mean that, otherwise I would have put "no solution" as the answer. the problem does have a solution, and it is none of the above.

Answer 6

are you sure? my teacher listed the above answers as, well, the /only/ answers D:

Answer 7

ooh, i see. should be -3x D: wow, i'm sorry. i'm really distracted.

Answer 8

2x+4y=7
4x+8y=14

If you try to find points of intersection you will realize that they are same line thus there are infinte points of intersection

2x+4y=7
4x+8y=11

You will find that above lines are parellel thus there are no soloution

Answer 9

-3x-1+4x = -2
4x -3x = -2+1
x = -1

Answer 10

how do i know if there are infinite solutions, though? They only gave me one equation; there's no second one to line it up with.

Answer 11

a "solution" is a point of intersection between two curves.

Answer 12

what are the two curves in the problem? sorry for all the questions, history's always been my strong point , not algebra :/

Answer 13

this is not a curve