Question

verify x + y = y +x for following values of x and y , x = 5/7 , y = -3/2​

Answer 1

question :-

verify x + y = y +x for following values of x and y , x = 5/7 , y = -3/2

To find :-

• verify that LHS = RHS or not

Solution :-

• Put the given values in the equation .

$\bold{:\longrightarrow \: \: \: \: x \: + \: y \: = \: y \: + \: x}$

$\bold{: \longrightarrow \: \: \: \: \frac{5}{7} \: + \: \frac{ - 3}{2} \: = \: \frac{ - 3}{2} \: + \: \frac{5}{7} }$

• Now take the LCM by both sides .

• LCM is 14

$\bold{:\longrightarrow \: \: \: \: \frac{5 \: + \: ( - 3)}{14} \: = \: \frac{ - 3 \: + \: 5}{14} }$

$\bold{:\longrightarrow \: \: \: \: \frac{5 \: - \: 3}{14} \: = \: \frac{ - 3 \: + \: 5}{14} }$

$\bold{:\longrightarrow \: \: \: \: \frac{2}{14} \: = \: \frac{ 2}{14} }$

$\bold{:\longrightarrow \: \: \: \: \frac{1}{7} \: = \: \frac{ 1}{7} }$

$\bold{:\longrightarrow \: \: \: \: LHS \: = \: RHS }$

$\bold{\bigstar \: hence \: varified}$

Answer 2

Answer:

Solution :-

Put the given values in the equation .

\bold{:\longrightarrow \: \: \: \: x \: + \: y \: = \: y \: + \: x}:⟶x+y=y+x

\bold{: \longrightarrow \: \: \: \: \frac{5}{7} \: + \: \frac{ - 3}{2} \: = \: \frac{ - 3}{2} \: + \: \frac{5}{7} }:⟶

7

5

+

2

−3

=

2

−3

+

7

5

Now take the LCM by both sides .

LCM is 14

\bold{:\longrightarrow \: \: \: \: \frac{5 \: + \: ( - 3)}{14} \: = \: \frac{ - 3 \: + \: 5}{14} }:⟶

14

5+(−3)

=

14

−3+5

\bold{:\longrightarrow \: \: \: \: \frac{5 \: - \: 3}{14} \: = \: \frac{ - 3 \: + \: 5}{14} }:⟶

14

5−3

=

14

−3+5

\bold{:\longrightarrow \: \: \: \: \frac{2}{14} \: = \: \frac{ 2}{14} }:⟶

14

2

=

14

2

\bold{:\longrightarrow \: \: \: \: \frac{1}{7} \: = \: \frac{ 1}{7} }:⟶

7

1

=

7

1

\bold{:\longrightarrow \: \: \: \: LHS \: = \: RHS }:⟶LHS=RHS

\bold{\bigstar \: hence \: varified}★hencevarified