Question

solve x/2 + 7/2 = 9/2​

Answer 1

Question:-

solve x/2 + 7/2 = 9/2

Answer:-

• The value of x is 2.

To find:-

• Value of x

Solution:-

$\large{ \tt : \implies \: \: \: \: \frac{x}{2} + \frac{7}{2} = \frac{9}{2} }$

$\large{ \tt : \implies \: \: \: \: x + 7 = \frac{9}{ \cancel2} \times \cancel2}$

$\large{ \tt : \implies \: \: \: \: x + 7 = 9}$

$\large{ \tt : \implies \: \: \: \: x = 9 - 7}$

$\large{ \tt : \implies \: \: \: \: x = 2}$

• The value of x is 2.

Verification :-

$\large{ \tt : \implies \: \: \: \: \frac{2}{2} + \frac{7}{2} = \frac{9}{2} }$

$\large{ \tt : \implies \: \: \: \: \frac{7 + 2}{2} = \frac{9}{2} }$

$\large{ \tt : \implies \: \: \: \: \frac{9}{2} = \frac{9}{2} }$

HENCE VERIFIED!!

Answer 2

Given

⠀

$\tt\longmapsto{\dfrac{x}{2} + \dfrac{7}{2} = \dfrac{9}{2}}$

⠀

Solution

• Since, the denominator is same.
• So, instead of taking LCM we will add them directly.

⠀

$\tt:\implies\: \: \: \: \: \: \: \: {\dfrac{x + 7}{2} = \dfrac{9}{2}}$

⠀

$\tt:\implies\: \: \: \: \: \: \: \: {2(x + 7) = 9 \times 2}$

⠀

$\tt:\implies\: \: \: \: \: \: \: \: {2x + 14 = 18}$

⠀

$\tt:\implies\: \: \: \: \: \: \: \: {2x = 18 - 14}$

⠀

$\tt:\implies\: \: \: \: \: \: \: \: {2x = 4}$

⠀

$\tt:\implies\: \: \: \: \: \: \: \: {x = \dfrac{4}{2}}$

⠀

$\tt:\implies\: \: \: \: \: \: \: \: {x = 2}$

⠀

Verification

• Putting x = 2

⠀

$\tt\longrightarrow{\dfrac{2}{2} + \dfrac{7}{2} = \dfrac{9}{2}}$

⠀

$\tt\longrightarrow{\dfrac{2 + 7}{2} = \dfrac{9}{2}}$

⠀

$\tt\longrightarrow{\dfrac{9}{2} = \dfrac{9}{2}}$

⠀

$\tt\longrightarrow{L.H.S = R.H.S}$

⠀

Hence, the value of x is 2.

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