Question

Find and correct the error in solving the equation below. 1) 4(12n-6) = 6(-4 + 5n) 2) 48n - 24 = -24 + 30n +18n 3) 48n - 24 = -24 + 48n 4) 48n - 24 = 48n 24 5) 48n 48n 6 n =0 The solution is n = 0

Answer 1

The error comes in line number 2).

Explanation:

The solution of the equation progresses as follows:

1) 4(12n-6) = 6(-4 + 5n)

2) 48n - 24 = -24 + 30n + 18n

3) 48n - 24 = -24 + 48n

4) 48n - 24 = 48n - 24

5) 48n = 48n

6) n =0

The error comes in line number 2) when the brackets were expanded.

The extra +18 should not exist.

The correct progression of the solution should be:

1) 4(12n - 6) = 6(-4 + 5n)

2) 48n - 24 = 30n - 24

3) 48n - 30n = -24 + 24

4) 18n = 0

5) n = 0 / 18

6) n = 0

This is the correct solution.