Question

Which value of x satisfies the equation 1/2 (x+ 5/2)= 15/4?
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Answer 1

x = 5

Explanation:

i solved x using trial and error

1/2 (x+ 5/2)= 15/4

so i tried with 2

1/2 (2 + 5/2)= 9/4

which is too less, so i tried with 7

1/2 (7+ 5/2)= 19/4

which is too big, so i tried with 6

1/2 (6+ 5/2)= 17/4

which is nearly there and i tried with 5

1/2 (5+ 5/2)= 15/4

and it came exactly

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Answer 2

x = 5

Explanation:

Given

`(1)/(2)` (x +
`(5)/(2)` ) =
`(15)/(4)`

Multiply both sides by 4 to clear the fractions

2(x +
`(5)/(2)` ) = 15 ← distribute parenthesis on left side

2x + 5 = 15 ( subtract 5 from both sides )

2x = 10 ( divide both sides by 2 )

x = 5