Question

Verify X + y equal to y + X when:x=-8/9and y=-3/5​

Answer 1

Given:

`x=-(8)/(9),\ y=-(3)/(5)`

To verify:

`x+y=y+x`

Solution:

We need to verify,

`x+y=y+x`

Taking left hand side, we get

`LHS=x+y`

After substituting the values, we get

`LHS=-(8)/(9)+\left(-(3)/(5)\right)`

`LHS=-(8)/(9)-(3)/(5)`

`LHS=(-40-27)/(45)`

`LHS=(-67)/(45)`

Now,

Taking right hand side, we get

`RHS=y+x`

After substituting the values, we get

`RHS=-(3)/(5)+\left(-(8)/(9)\right)`

`RHS=-(3)/(5)-(8)/(9)`

`RHS=(-27-40)/(45)`

`RHS=(-67)/(45)`

Clearly,

`LHS=RHS`

Hence verified.