Final answer:
To find the value of b, we can substitute the given value of a = 9 into the equation 46 = 2a + 2b and solve for b.
Step-by-step explanation:
To find the value of b, we can substitute the given value of a = 9 into the equation 46 = 2a + 2b.
Substituting a = 9, we get:
46 = 2(9) + 2b
Simplifying the equation:
46 = 18 + 2b
Then, we can isolate b by subtracting 18 from both sides:
46 - 18 = 2b
28 = 2b
Finally, dividing both sides by 2, we find:
b = 14