Question

Verify x+y= y+x for the following values of x and y x=5/7, y=_3/2

Answer 1

Step-by-step explanation:

putting the values of x and y for verify.

x+y=y+x

5/7+3/2=3/2+5/7

31/14=31/14

this is the type of associative property.

hope it will help you.

Answer 2

$\Large{ \underline{ \boxed{ \rm{ \pink{❀Required\: Answer:- }}}}}$

L.H.S

$\large\rm{x + y = y + x}$

$\large \rm{LHS = \frac{5}{7} + \frac{3}{2}}$

L.C.M of 7 and 2 → 14

$\large: \longmapsto\rm{ \frac{5 \times 2}{7 \times 2}} + \frac{3 \times 7}{2 \times 7}$

$\large: \longmapsto \rm{ \frac{10 + 21}{14}}$

$\LARGE \rm = { \frac{31}{14}}$

RHS.

$\large \rm{RHS = \frac{3}{2} + \frac{5}{7}}$

L.C.M of 2, 7 → 14

$\large: \longrightarrow \rm{ \frac{3 \times 7}{2 \times 7}} + \frac{5 \times 2}{7 \times 2}$

$\large: \longrightarrow \rm{ \frac{21 + 10}{14}}$

$\LARGE \rm{ = \frac{31}{14}}$

$\large \rm \pink{LHS = RHS} \\ \large \rm \pink{hence, \: verified!}$

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More to know :

• if a/b and c/d are non zero rational numbers, then -

i) a/b + c/d = a×d+b×c/b×d

ii) a/b - c/d = a × d - b × c/ b × d

iii) a/b × c/d = a/b × c/d = a×c/b×d