Question

What is the solution to the equation:

5(n - 1/10) = 1/2
a. n= 13/5
b. n= 3/25
c. n= 0
d. n= 1/5

Answer 1

To solve the equation
`\sf 5(n - (1)/(10)) = (1)/(2) \\` for
`\sf n \\`, we can follow these steps:

Step 1: Distribute the 5 on the left side:

`\sf 5n - (1)/(2) = (1)/(2) \\`

Step 2: Add
`\sf (1)/(2) \\` to both sides of the equation:

`\sf 5n = (1)/(2) + (1)/(2) \\`

`\sf 5n = 1 \\`

Step 3: Divide both sides of the equation by 5 to isolate
`\sf n \\`:

`\sf (5n)/(5) = (1)/(5) \\`

`\sf n = (1)/(5) \\`

Therefore, the solution to the equation
`\sf 5(n - (1)/(10))\ = (1)/(2) \\` is
`\sf n = (1)/(5) \\`, which corresponds to option (d).

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Answer 2

SolutioN:-

`\sf \longrightarrow \: 5 \bigg( \: n - (1)/(10) \bigg) = (1)/(2) \\`

`\sf \longrightarrow \: 5 \bigg( \: (n)/(1) - (1)/(10) \bigg) = (1)/(2) \\`

`\sf \longrightarrow \: 5 \bigg( \: (10 * n - 1 * 1)/(1 * 10) \bigg) = (1)/(2) \\`

`\sf \longrightarrow \: 5 \bigg( \: (10n - 1)/( 10) \bigg) = (1)/(2) \\`

`\sf \longrightarrow \: \: (50n - 5)/( 10) = (1)/(2) \\`

`\sf \longrightarrow \: \: 2(50n - 5) =1(10) \\`

`\sf \longrightarrow \: \: 2(50n - 5) =10 \\`

`\sf \longrightarrow \: \: 100n - 10=10 \\`

`\sf \longrightarrow \: \: 100n =10 + 10\\`

`\sf \longrightarrow \: \: 100n =20\\`

`\sf \longrightarrow \: \:n = \frac{2 \cancel{0}}{10 \cancel{0}} \\`

`\sf \longrightarrow \: \:n = (1)/(5) \\`

Answer:-

• Answer:- D) n = ⅕ ✅