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.