Question

5. Verify that x + y = y + x for each of the following
7/2and-4/3​

Answer 1

$\huge \bold{\mid {\underline { \overline \red{AnSwer}}}} \mid$

we have,

• x = 7/2
• y = -4/3

let

• LHS = x + y
• RHS = y + x

then,

$\bold{LHS = \frac{7}{2} + \frac{ - 4}{3} } \: \: \: \: \: \: \: \: \: \: \: \\ \\ \implies \bold{LHS = \frac{(7 \times 3) + (- 4 \times 2)}{6} } \\ \\ \implies \bold{LHS = \frac{21 - 8}{6} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \implies \bold{LHS = \frac{13}{6} }......(i) \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

and

$\bold{RHS = \frac{ - 4}{3} + \frac{7}{2} } \: \: \: \: \: \: \: \: \: \\ \\ \implies \bold{RHS = \frac{( - 4 \times 2) + (7 \times 3)}{6} } \\ \\ \implies \bold{RHS = \frac{ - 8 + 21}{6} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \implies \bold{RHS = \frac{13}{6} } .......(ii) \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

form eq.(i) and (ii)

• LHS = RHS

➪ x + y = y + x

hence, varified!