Question

verify x-y≠ y-x when X = 3/5 and Y = 7/9​

Answer 1

Given to verify :-

${x- y \neq y -x}$

$x = \dfrac{3}{5}$

$y = \dfrac{7}{9}$

Solution:-

Take LHS

$x - y$

$\dfrac{3}{5} - \dfrac{7}{9}$

LCM of 5, 9 is 45

$\dfrac{3\times 9 -7 \times 5 }{45}$

$\dfrac{27 - 35}{45}$

$\dfrac{ - 8}{45}$

$L.H.S \: = \dfrac{ - 8}{45}$

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Take RHS

$y - x$

$\dfrac{7}{9} - \dfrac{3}{5}$

LCM of 9,5 is 45

$\dfrac{7 \times 5 - 9 \times 3}{45}$

$\dfrac{35 - 27}{ 45}$

$\dfrac{8}{45}$

$R.H.S \: = \dfrac{8}{45}$

Since ,

$\dfrac{ - 8}{45} \neq \dfrac{8}{45}$

So,

$\: L.H.S \: \neq R.H.S$

$x-y\neq y-x$

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Know more :-

Commutative property :-

It only statisfies for multiplication and addition It doesn't satisfies for division and subtraction

If we change the order of number Its value remains same .

For addition ,

a + b = b + a

For multiplication

ab = ba

For subtraction

a - b ≠ b - a

For division

a÷ b ≠ b÷ a