If three times a number is added to twice the reciprocal of the number the answer is 5 . find the number(s)

The number is 1.

Step-by-step explanation:

Here is the equation:

2(1/N) + 3N = 5.

Substitute 1 into the equation.

2(1/1) + 3 * 1 = 5.

2(1) + 3 * 1 = 5.

2 + 3 * 1 = 5.

2 + 3 = 5.

5 = 5.

1 is a solution.

I also found out that any number greater than 1 makes the equation unbalanced, where the left side becomes greater than the right.

And as for negative numbers, they make the left side smaller than the right.

So the only solution is the integer 1.

it's equivalent, so we can say that its equal.

let's call the denominator x and the numerador is 18 less then denominator, x - 18.

multiply

2.x = 5.(x - 18)

2x = 5x - 90

90 = 5x - 2x

90 = 3x

x = 90/3

x = 30

so: