Solve the equation and also check your results:(9x+7)/2 – (x – (x

1.	Solve the equation and also check your results:(9x+7)/2 – (x – (x-2)/7) = 36
Answer» (9x+7)/2 – (x – (x-2)/7) = 36 Let us simplify the given equation into simple form (9x+7)/2 – (7x-x+2)/7 = 36 (9x+7)/2 – (6x+2)/7 = 36 By taking LCM for 2 and 7 is 14 (7(9x+7) – 2(6x+2))/14 = 36 (63x+49 – 12x – 4)/14 = 36 (51x + 45)/14 = 36 By cross-multiplying 51x + 45 = 36(14) 51x + 45 = 504 51x = 504-45 51x = 459 x = 459/51 = 9 Let us verify the given equation now, (9x+7)/2 – (x – (x-2)/7) = 36 (9x+7)/2 – (6x+2)/7 = 36 By substituting the value of ‘x’ we get, (9(9)+7)/2 – (6(9)+2)/7 = 36 (81+7)/2 – (54+2)/7 = 36 88/2 – 56/7 = 36 44 – 8 = 36 36 = 36 Hence, the given equation is verified.

Solve the equation and also check your results:(9x+7)/2 – (x – (x-2)/7) = 36

Answer»

(9x+7)/2 – (x – (x-2)/7) = 36

Let us simplify the given equation into simple form

(9x+7)/2 – (7x-x+2)/7 = 36

(9x+7)/2 – (6x+2)/7 = 36

By taking LCM for 2 and 7 is 14

(7(9x+7) – 2(6x+2))/14 = 36

(63x+49 – 12x – 4)/14 = 36

(51x + 45)/14 = 36

By cross-multiplying

51x + 45 = 36(14)

51x + 45 = 504

51x = 504-45

51x = 459

x = 459/51

= 9

Let us verify the given equation now,

(9x+7)/2 – (x – (x-2)/7) = 36

(9x+7)/2 – (6x+2)/7 = 36

By substituting the value of ‘x’ we get,

(9(9)+7)/2 – (6(9)+2)/7 = 36

(81+7)/2 – (54+2)/7 = 36

88/2 – 56/7 = 36

44 – 8 = 36

36 = 36

Hence, the given equation is verified.