Question

x-x-1/2=1-x-2/3 give the correct answer of this equation​

Answer 1

Step-by-step explanation:

x – (x-1)/2 = 1 – (x-2)/3 Let us rearrange the equation x – (x-1)/2 + (x-2)/3 = 1 By taking LCM for 2 and 3 which is 6 (6x – (x-1)3 + (x-2)2)/6 = 1 (6x – 3x + 3 + 2x – 4)/6 = 1 (5x – 1)/6 = 1 By cross-multiplying 5x – 1 = 6 5x = 6 + 1 x = 7/5 Let us verify the given equation now, x – (x-1)/2 = 1 – (x-2)/3 By substituting the value of ‘x’ we get, 7/5 – (7/5 – 1)/2 = 1 – (7/5 – 2)/3 7/5 – (2/5)/2 = 1 – (-3/5)/3 7/5 – 2/10 = 1 + 3/15 (14 – 2)/10 = (15+3)/15 12/10 = 18/15 6/5 = 6/5 Hence, the given equation is verified.Read more on Sarthaks.com - https://www.sarthaks.com/664642/solve-the-equationand-also-check-your-results-x-x-1-2-1-x-2-3