4x - 3y = 18 (1)
8x - 6y = 34 (2)
Divide equation b by 2
4x - 3y = 17
So now you have
4x - 3y = 18
4x - 3y = 17
--------------------subtract
0 - 0 = 1
0 ≠ 1
No solution
Answer is the last option
4x - 3y = 18
8x - 6y = 34
------------------------------
3x + 6y = 22 (1)
6x + 12y = 44 (2)
Divide equation 2 by 2
3x + 6y = 22 -------------same as equation 1
Subtract equation 2 from 1
0 = 0
Infinitely many solutions
Answer is the second option
3x + 6y = 22
6x + 12y = 44