Final answer:
To solve for b in the equation a = 2/3b + 10 with a = 24, subtract 10 from both sides, then multiply by 3/2 to get b = 21.
Step-by-step explanation:
To find the value of b for the equation a = 2/3b + 10 when a = 24, first, substitute the value of a into the equation, giving you 24 = 2/3b + 10. Next, subtract 10 from both sides to isolate the term with b, resulting in 14 = 2/3b. Then, multiply both sides by 3/2 to solve for b, getting 21 = b. Hence, the value of b is 21.