Question

5. Verify (a) (-x) + (-y) = -(x + y)
(b) X-(-y) = x + y
For the following values of x and y
(i) x = 5, y = 3 (ii) x = 4, y = 9.​

Answer 1

Answer:

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Answer 2

Answer:

5)a) (-x)+(-y) is not equal to -(x+y)

5)b)  x-(-y)= x+y

Step-by-step explanation:

5)a) (-x)+(-y)= -(x+y)

L.H.S.

(-x)+(-y)

=> (-5)+(-3)  [Since x=5 and y=3]

=> -5-3

=>-8

R.H.S

-(x+y)

=> -(5+3)  [Since x=5 and y=3]

=> -7

Since -8 is not equal to -7,

therefore, (-x)+(-y) is not equal to -(x+y)   [Verified]  [ans]

5)b) x-(-y)= x+y

L.H.S.

x-(-y)

=> 4-(-9)  [Since x=4 and y=9]

=> 4+9

=> 13

R.H.S.

x+y

=> 4+9   [Since x=4 and y=9]

=> 13

Since 13=13,

therefore,  x-(-y)= x+y  [Verified]  [ans]