Answer:
b = 10
Step-by-step explanation:
Solve for b:
46 + 5 = 5 b + 1
46 + 5 = 51:
51 = 5 b + 1
51 = 5 b + 1 is equivalent to 5 b + 1 = 51:
5 b + 1 = 51
Subtract 1 from both sides:
5 b + (1 - 1) = 51 - 1
1 - 1 = 0:
5 b = 51 - 1
51 - 1 = 50:
5 b = 50
Divide both sides of 5 b = 50 by 5:
(5 b)/5 = 50/5
5/5 = 1:
b = 50/5
The gcd of 50 and 5 is 5, so 50/5 = (5×10)/(5×1) = 5/5×10 = 10:
Answer: b = 10
