Question

Please solve this question and give the right answer and the method. ​

Answer 1

Step-by-step explanation:

Given :-

(9x+7)/2 - [ x - (x-2)/7] = 36

To find :-

Solve the equation ?

Solution :-

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

LCM of 2 and 7 = 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

Therefore, x = 9

Answer:-

The value of x for the given problem 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

Answer 2

Answer:

$\begin{gathered} \frac{9x + 7}{2} - (x - \frac{x - 2}{7} ) = 36 \\ \frac{9x + 7}{2} - \frac{x}{1} + \frac{x - 2}{7} = 36 \\ \frac{63x + 49 - 14x + 2x - 4}{ 14} = 36 \\ \frac{51x + 45}{14} = 36 \\ 51x + 45 = 36 \times 14 \\ 51x + 45 = 504 \\ 51x = 504 - 45 \\ 51x = 459 \\ x = 459 \div 51 \\ x = 9\end{gathered}$

Step-by-step explanation:

Hope it's helpful to you :) :)