Question

1. What do we get when we transpose 5/2 to RHS in the equation x/4 + 5/2 = -3/0? I. X/4 = -3/4 + 5/2 II. X/4 = -5/2 + 3/4 III. X/4 = -3/4 + (-5/2) ​

Answer 1

sai prasanna kumar chinthana boina

Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

What do we get when we transpose 5/2 to RHS in the equation

$\displaystyle\sf{ \frac{x}{4} + \frac{5}{2} = - \frac{3}{4} }$

$\displaystyle\sf{I. \: \: \frac{x}{4} = - \frac{3}{4} + \frac{5}{2} }$

$\displaystyle\sf{II. \: \: \frac{x}{4} = - \frac{5}{2} + \frac{3}{4} }$

$\displaystyle\sf{III. \: \: \frac{x}{4}= - \frac{3}{4} + \bigg( - \frac{5}{2} \bigg)}$

EVALUATION

Here the given equation is

$\displaystyle\sf{ \frac{x}{4} + \frac{5}{2} = - \frac{3}{4} }$

Now

$\displaystyle\sf{LHS = \frac{x}{4} + \frac{5}{2} }$

$\displaystyle\sf{RHS= - \frac{3}{4} }$

Now the sign of 5/2 in RHS is positive

So when transpose 5/2 from LHS to RHS we get

Thus we get

$\displaystyle\sf{\frac{x}{4}= - \frac{3}{4} - \bigg( + \frac{5}{2} \bigg)}$

$\displaystyle\sf{ \implies \: \frac{x}{4}= - \frac{3}{4} + \bigg( - \frac{5}{2} \bigg)}$

FINAL ANSWER

Hence the correct option is

$\displaystyle\sf{III. \: \: \frac{x}{4}= - \frac{3}{4} + \bigg( - \frac{5}{2} \bigg)}$

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