Answer :
Final answer:
The equation (3/4)x = 15 has only one correct solution, which is x = 20. Multiplying both sides by the reciprocal of 3/4 isolates x, showing that the other options provided are not equivalent to the original equation. Therefore, option a) x = 20 is the correct answer.
Explanation:
To solve the equation (3/4)x = 15, we need to isolate the variable x. We do this by multiplying both sides of the equation by the reciprocal of 3/4, which is 4/3. When we do that, we obtain the following:
(4/3) * (3/4)x = (4/3) * 15
This simplifies to:
x = 20
Therefore, x = 20 is the correct solution to the equation. Let's analyze the remaining options:
- x = 5/4 is incorrect because 5/4 is not equal to 20.
- x = 60/4 simplifies to x = 15, which is also incorrect as it does not equal 20.
- x = 60 is incorrect because if we divide 60 by 4, we get 15, not 20.
Only option a) x = 20 is the correct expression equivalent to (3/4)x = 15.