Final answer:
To solve the equation b + c = 10/a for a, isolate a on one side of the equation by multiplying both sides by a, distribute a to both terms inside the parentheses, and then solve for a by dividing both sides by (b + c).
Step-by-step explanation:
To solve the equation b + c = 10/a for a, we need to isolate a on one side of the equation. We can start by multiplying both sides of the equation by a to get rid of the denominator:
a(b + c) = 10
Next, we can distribute a to both terms inside the parentheses:
ab + ac = 10
Finally, we can solve for a by dividing both sides of the equation by (b + c):
a = 10 / (b + c)