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Solve 7n/9-62=5n/9-48

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3 votes

To solve the equation 7n/9 - 62 = 5n/9 - 48, we can follow these steps:

1. Simplify the equation by getting rid of the fractions:

Multiply both sides of the equation by the common denominator, which is 9. This will eliminate the fractions.

9 * (7n/9) - 9 * 62 = 9 * (5n/9) - 9 * 48

Simplifying further, we have:

7n - 558 = 5n - 432

2. Combine like terms:

To isolate the variable, we need to combine like terms. In this case, we have 7n and 5n on the right side of the equation.

7n - 5n - 558 = - 432

Simplifying further, we have:

2n - 558 = - 432

3. Solve for n:

To solve for n, we need to isolate the variable term. In this case, we can do that by adding 558 to both sides of the equation.

2n - 558 + 558 = - 432 + 558

Simplifying further, we have:

2n = 126

To find the value of n, divide both sides of the equation by 2:

(2n)/2 = 126/2

Simplifying further, we have:

n = 63

Therefore, the solution to the equation 7n/9 - 62 = 5n/9 - 48 is n = 63.

User Alex Boisselle
by
8.3k points
2 votes

Answer: n=63

Explanation:

User Realn
by
7.9k points

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