Question

For x=3/5 and y=-5/7, verify that (-x)+(-y)=-(x+y)

Answer 1

Answer:

L.H.S.=x+y= 5/7+ (-3/2)

=5/7 - 3/2

[Adding any number to a negative number results in subtraction between the two numbers

When you add a positive number, you move to the right on the number line.

When you add a negative number, you move to the left on the number line.]

Hence, x+y =10/14 - 21/14 [Taking L.C.M within the denominators]

x+y = -11/14

Similarly,

R.H.S.=y+x= (-3/2) + 5/7

=-21/14+10/14 [Taking L.C.M within the denominators]

y+x =-11/14

Thus, we can say that x+y=y+x when x=5/7 and y= (-3/2)