2/7n+n=5/9

n = 35/81

To solve the equation 2/7n + n = 5/9, follow these steps:

Step 1: Simplify the equation if possible. In this case, we can combine like terms by adding the fractions with n.

2/7n + n = 5/9

Step 2: Convert the fractions to have a common denominator. In this case, the common denominator is 63, which is the least common multiple of 7 and 9.

Rewriting the equation with the common denominator:

(18/63)n + (63/63)n = 35/63

Step 3: Add the fractions on the left side of the equation:

(18/63 + 63/63)n = 35/63

Simplifying the left side:

(81/63)n = 35/63

Step 4: Multiply both sides of the equation by the reciprocal of the coefficient of n (81/63):

[(63/81) * (81/63)]n = (35/63) * (63/81)

Simplifying both sides:

n = 35/81

So, the solution to the equation 2/7n + n = 5/9 is n = 35/81.