Final answer:
The equation 3/5x = 7 is solved by multiplying both sides by the reciprocal of 3/5, resulting in x = 35/3 or approximately x = 11.6667 when rounded to four decimal places. None of the provided options match this correct solution.
Step-by-step explanation:
To find the solution to the equation 3/5x = 7, we can start by isolating the variable x. Multiply both sides of the equation by the reciprocal of 3/5, which is 5/3, to get x alone on one side of the equation.
Performing the algebra gives us the following steps:
- Multiply both sides by 5/3: (5/3) * (3/5)x = (5/3) * 7
- Simplify the equation: x = 35/3
- Divide 35 by 3 to get the decimal: x = 11.6666...
- Round to four decimal places as the options suggest: x = 11.6667
Therefore, none of the given options (a) 2.8000, (b) 2.7931, (c) 2.7957, (d) 2.7995 is correct. The correct solution should be approximately 11.6667. It's possible there may have been a typo or misunderstanding in the options provided.