Question

it is possible for a system of linear equations to have an infinite number of solutions?

Answer 1

yes, it is

Answer 2

thank you :)

Answer 3

That will only occur when the graph of the of the two system of equations is the same.

Answer 4

For example:

y=2x+4
2y=4x+8

Answer 5

Similarly, if the two lines are parallel but shifted (y=2x and y=2x+1) then you get no solutions

Answer 6

If you can simplify one of the equations into the other then they are identical, and so they cross at every point along their line.