Question

Find all solutions of the following linear system:

2x+4y=2
3x+6y=3

Answer 1

When I'm trying to solve it I get the two equations are the same,
1x +2y = 1
1x +2y = 1
I'm not sure where to go from here, or wha this means

Answer 2

y = (1-x)/2?

Answer 3

that means the lines are lying on top of each other
and you can say they intersect for every point
so there are infinitely many solutions

Answer 4

Thanks so much! that makes sense

Answer 5

and you can say they intersect for every point (x,y)*

and you are welcome

Answer 6

Thanks again, I can put together that they intersect for every point [x, (1-x)/2 ]

Answer 7

yes that will be beautiful

Answer 8

( ) instead of [ ]