Question

Y = 2x + 3

2y = 4x + 6

The system of equations has _____ solution(s).

A.no
B.one
C.infinite

Answer 1

C. infinite

If we look at the 2nd equation

`2y = 4x + 6`
Now we will isolate y and we obtain:


`(2y)/(2) = (4x + 6)/(2) \\ \\ y = 2x + 3`
Since both equations are equivalent, then they must have an infinite amount of solutions.