Question

For x = +9/10 and y = -5/7, verify that (-x) + (-y) = - (x+y​

Answer 1

Answer:

Where, x = -2/5, y = -9/10 Then, -2/5 + (-9/10) = -9/10 + (-2/5) LHS = -2/5 + (-9/10) = -2/5 – 9/10 The LCM of the denominators 5 and 10 is 10 (-2/5) = [(-2×2)/ (5×2)] = (-4/10) and (-9/10) = [(-9×1)/ (10×1)] = (-9/10) Then, = – 4/10 – 9/10 = (- 4 – 9)/ 10 = – 13/10 RHS = -9/10 + (-2/5) = -9/10 – 2/5 The LCM of the denominators 10 and 5 is 10 (-9/10) = [(-9×1)/ (10×1)] = (-9/10) and (-2/5) = [(-2×2)/ (5×2)] = (-4/10) Then, = – 9/10 – 4/10 = (- 9 – 4)/ 10 = – 13/10 By comparing LHS and RHS LHS = RHS ∴ -9/6 = -9/6 Hence x + y = y + xRead more on Sarthaks.com - https://www.sarthaks.com/845732/verify-the-property-x-y-y-x-of-rational-numbers-by-takingx-2-5-y-9-10

Answer 2

Step-by-step explanation:

LHS:-9/10+5/7 = -0.185

RHS:-(9/10-5/7) = -(0.185)