Question

9x+7/2-(x-(x-2/7) )=36
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Answer 1

Answer:

$9x + \frac{7}{2} - (x - (x - \frac{2}{7} )) = 36 \\ 9x + \frac{7}{2} - x + x - \frac{2}{7} = 36 \\ 9x + \frac{7}{2} - \frac{2}{7} = 36 \\ 9x + \frac{49 - 4}{14} = 36 \\ 9x + \frac{45}{14} = 36 \\ 9x = 36 - \frac{45}{14} \\ 9x = \frac{504 - 45}{14} \\ 9x = \frac{459}{14} \\ x = \frac{459}{14 \times 9} = \frac{459}{126} \\ x = 3 . 64 \\ thank \: you$

Answer 2

Given equation is (9x+7)/2 - { x - (x-2)/7} = 36

⇛(9x+7)/2 - {7x-(x-2)}/7 = 36

⇛(9x+7)/2 -{(7x-x+2)/7} = 36

⇛(9x+7)/2 -(6x+2)/7 = 36

Take theLCM of 2 & 7 is 14.

⇛{7(9x+7)-2(6x+2)}/14 = 36

⇛(63x+49-12x-4)/14 = 36

⇛(51x+45)/14 = 36

⇛51x+45 = 36×14

⇛51x+45 = 504

⇛51x = 504-45

⇛51x = 459

⇛x = 459/51

.°. x = 9

Answer: Hence, the value of “x” is 9.

Check: LHS: (9x+7)/2 - { x - (x-2)/7}

⇛{9(9)+7}/2 -{9-(9-2)/7}

⇛(81+7)/2 - (9-(7/7)

⇛88/2 - (9-1)

⇛44-(8)

⇛44-8

⇛36

⇛RHS.

LHS=RHS is true for “x= 9”

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