To solve this problem, we first need to simplify the given equation:
(a - b) / a = 4
Multiplying both sides by a:
a - b = 4a
Adding b to both sides:
a = 4a + b
Subtracting 4a from both sides:
-3a = b
Now we can substitute -3a for b in the expression (6a + 5b) / b:
(6a + 5(-3a)) / (-3a)
Simplifying further:
(6a - 15a) / (-3a)
-9a / -3a
-3
Therefore, (6a + 5b) / b = -3.
To solve this problem, we first need to simplify the given equation:
(a - b) / a = 4
Multiplying both sides by a:
a - b = 4a
Adding b to both sides:
a = 4a + b
Subtracting 4a from both sides:
-3a = b
Now we can substitute -3a for b in the expression (6a + 5b) / b:
(6a + 5(-3a)) / (-3a)
Simplifying further:
(6a - 15a) / (-3a)
-9a / -3a
-3
Therefore, (6a + 5b) / b = -3.