Question

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

Answer 1

Given:

$x=-\dfrac{8}{9},\ y=-\dfrac{3}{5}$

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

$LHS=-\dfrac{8}{9}+\left(-\dfrac{3}{5}\right)$

$LHS=-\dfrac{8}{9}-\dfrac{3}{5}$

$LHS=\dfrac{-40-27}{45}$

$LHS=\dfrac{-67}{45}$

Now,

Taking right hand side, we get

$RHS=y+x$

After substituting the values, we get

$RHS=-\dfrac{3}{5}+\left(-\dfrac{8}{9}\right)$

$RHS=-\dfrac{3}{5}-\dfrac{8}{9}$

$RHS=\dfrac{-27-40}{45}$

$RHS=\dfrac{-67}{45}$

Clearly,

$LHS=RHS$

Hence verified.