How many solutions does the system of equations below have? y=3x+4 y=3x+2 A) Only 1 solution B) Infinitely many solutions C) No solutions

Answer 1

the slopes are the same, so they are either
(a) parallel
(b) the same line
So, what do you think? What if x=0? Is 4=2?
Can you think of any value for x where 3x+4 = 3x+2 ?

Answer 2

How many solutions does the system of equations below have?

y
=
3
4
x
−
8
3

y
=
3
4
x
+
10
9