solve by elimination 2x+3y=3 and 4x+6y=6

Question

anonymous · Answer

2x+3y=3 (1)
4x+6y=6 (2)

Because (2)=2*(1) there are infinite solutions as they are the same line.

anonymous · Answer

through elimination I got 12x+18y=18 and 12x+18y=18.......they are the same so I thought this meant there is no solution, Im having a hard time figuring this out so is that right/

anonymous · Answer

If they are exactly the same, then they have infinite solutions.

If only the gradient is the same then there are no solutions. (Remember must be in the form y=mx+c to check the gradient m)

If they are neither of the above two, and are both straight lines, then there is one solution.