Question

Verify that –(x+y) = (-x) +(y) , when x= (-1)/2 , y = ( -4)/( 5).

Answer 1

Answer:

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We have the eqation -(x+y) = (-x) + (y)

Given, x = (-1)/2 and y = (-4)/5

Now to verify this eqation put the value of x and y

Then,

-(x+y) = (-x) + (y)

{-(-1)/2+(-4)/5} = {-(-1)/2+(-4)/5}

{(1/2)-(4/5)} = {(1/2)-(4/5)

Now take the L.C.M of 2 and 5

The L.C.Mof two and five is ten

So,

(5/10)-(8/10) = (5/10)-(8/10)

-3/10 = -3/10

L.H.S = R.H.S

Verified

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Answer 2

ᴡᴇ ʜᴀᴠᴇ ᴛʜᴇ ᴇϙᴀᴛɪᴏɴ -(x+ʏ) = (-x) + (ʏ)

ɢɪᴠᴇɴ, x = (-1)/2 ᴀɴᴅ ʏ = (-4)/5

ɴᴏᴡ ᴛᴏ ᴠᴇʀɪғʏ ᴛʜɪs ᴇϙᴀᴛɪᴏɴ ᴘᴜᴛ ᴛʜᴇ ᴠᴀʟᴜᴇ ᴏғ x ᴀɴᴅ ʏ

ᴛʜᴇɴ,

-(x+ʏ) = (-x) + (ʏ)

{-(-1)/2+(-4)/5} = {-(-1)/2+(-4)/5}

{(1/2)-(4/5)} = {(1/2)-(4/5)

ɴᴏᴡ ᴛᴀᴋᴇ ᴛʜᴇ ʟ.ᴄ.ᴍ ᴏғ 2 ᴀɴᴅ 5

ᴛʜᴇ ʟ.ᴄ.ᴍᴏғ ᴛᴡᴏ ᴀɴᴅ ғɪᴠᴇ ɪs ᴛᴇɴ

sᴏ,

(5/10)-(8/10) = (5/10)-(8/10)

-3/10 = -3/10

ʟ.ʜ.s = ʀ.ʜ.s

ᴠᴇʀɪғɪᴇᴅ

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