3a = 27b + 1 and 5b = 25a -1, then a + b =
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3
Answer:
a+b = 0
Step-by-step explanation:
3a = 27b+1
a = (27b+1)/3
a = 9b + 1/3
5b = 25a - 1
b = (25a-1)/5
b = 5a - 1/5
b = 5(9b + 1/3) - 1/5
b = 45b + 5/3 - 1/5
b = 45b + 25/15 - 3/15
b = 45b +22/15
22/15 = -44b
-22/15 * 1/44 = b
-1/30 = b
a = 9(-1/30) + 1/3
a = 3(-1/10) + 1/3
a = -3/10 + 1/3
a = -9/30+ 10/30
a = 1/30
a+b = 1/30 + ( -1/30)
a+b = 0
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