Question

The sum of a number and 6 times its reciprocal is 7. Find the number.
If the problem has two solutions, write your answers in the box below.

Answer 1

(x + 6)*(1/x) = 7

move the 1/x to the other side by multiplying both sides *x
x+6 = 7*x

move all of the 'x' factors to the same side by subtracting x from both sides.
6 = 6*x

divide both sides by 6 to find your answer.
x = 1