Can someone please help me ☹️

Answer:
When c = 6 and d = 34, there is one solution. When c = 8 and d = 6, there is no solution. When c = 8 and d = 12, there are infinitely many solutions.
Step-by-step explanation:
6x + 34 = 8x +12
-6x -6x
34 = 2x +12
-12 -12
22 = 2x
11 = x
8x + 6 = 8x +12
-8x -8x
6 = 12
No solution
8x+12= 8x + 12
-8x-12 -8x - 12
0 = 0
Infinite solutions