If 2 n-5=\;1/2 n, find the value of n.

Correct Answer is : 3 133 \;1/3331

Correct Answer is : 3 133 \;1/3331

Test Index

BECE Mathematics 2023 Paper

Question : 15

Total: 40

2 n-5=\;\frac{1}{2} n

n

Solution:

Concept:

Solve the linear equation by removing the fraction first, then isolate

n

Explanation:

Given equation is

2n - 5 = \frac{1}{2}n

Multiply every term on both sides by

2

to eliminate the fraction.

2(2n) - 2(5) = 2 \cdot \frac{1}{2}n

This gives

4n - 10 = n

Bring all

n

terms to one side and constants to the other side.

4n - n = 10

3n = 10

Divide both sides by

3

to get

n

alone.

n = \frac{10}{3} = 3\frac{1}{3}

Answer:

n = \frac{10}{3} = 3\frac{1}{3}

, which is option D.

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