Question

Verify the property x+y= y+ x of rational numbers by taking
X = 1/2 , Y = 1/2

Answer 1

X = 1/2 , Y = 1/2

x + y  = 1/2 + 1/2 = 2/2 = 1

y + x = 1/2 + 1/2 = 2/2 = 1

so x + y  = y + x = 1

Answer 2

$Given \: x = \frac{1}{2} , \:and \: y = \frac{1}{2}$

$i ) x + y \\= \frac{1}{2}+ \frac{1}{2}\\= 1 \:--(1)$

$ii ) y + x \\= \frac{1}{2}+ \frac{1}{2}\\= 1 \:--(2)$

Therefore.,

$x + y = y + x = 1$

$\blue { ( Commutative \: property \: under \: addition)}$

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