Math, asked by PritamGogoi25, 8 months ago

x
 \frac{x - 3}{5}  + 7 =  \frac{7x - 1}{3}

Answers

Answered by Anonymous
28

\green{\bold{\underline{ ☆        UPSC-ASPIRANT ☆} }}

\red{\bold{\underline{\underline{QUESTION:-}}}}

Q:-x

 \frac{x - 3}{5} + 7 = \frac{7x - 1}{3}

\huge\tt\underline\blue{ANSWER }

------>>>>Here is your answer<<<<--------

⟹ \frac{x - 3}{5}  + 7 =  \frac{7x  - 1}{3}

⟹ \frac{x - 3 + 35}{5}  =  \frac{7x - 1}{3}

⟹3x - 9 + 105 = 35x - 5

⟹3x + 96 = 35x - 5

⟹32x - 5 - 96

⟹32x - 101 = 0

⟹32x = 101

⟹x =  \frac{101}{32}  = 3.15✓

HOPE IT HELPS YOU..

_____________________

Thankyou:)

Answered by sharanyalanka7
14

Step-by-step explanation:

\huge\bf\underline\blue{answer}

given,

 \frac{x - 3}{5} + 7 = \frac{7x - 1}{3}

to find :-

value of x

\huge\fcolorbox{Black}{pink}{solution}

 \frac{x - 3}{5} + 7 =  \frac{7x - 1}{3}

 \frac{x - 3}{5} -  \frac{7x - 1}{3} =  - 7

 \frac{3(x - 3) + 5(7x - 1)}{15}  =  - 7

 \frac{3x - 9 + 35x - 5}{15}  =  - 7

 \frac{38x - 14}{15}  =  - 7

38x - 14 = 17 \times  - 7

38x - 14 =  - 105

38x =  - 105 + 14

38 x  =  - 91

x =  \frac{ - 91}{38}

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