Question

What is the solution of the equation 3/5x = 7?

(a) 2.8000
(b) 2.7931
(c) 2.7957
(d) 2.7995

Answer 1

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:

1. Multiply both sides by 5/3: (5/3) * (3/5)x = (5/3) * 7
2. Simplify the equation: x = 35/3
3. Divide 35 by 3 to get the decimal: x = 11.6666...
4. 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.