Question

$\frac{-25}{28}y=\frac{-28}{25}$, then $y=$

• A. $\frac{{\left(25\right)}^2}{{\left(28\right)}^2}$
• B. ${(-\frac{25}{28})}^2$
• C. ${\left(\frac{28}{25}\right)}^2$
• D. $\frac{{\left(28\right)}^2}{{\left(25\right)}^2}$

Answer 1

The correct option is C ${\left(\frac{28}{25}\right)}^2$

$\frac{-25}{28}y=\frac{-28}{25}$

Divide and multiply LHS and RHS by $28$,
$⟹\frac{-25\times -28}{28y}=\frac{-28}{25}\times 28$

$⟹25y=\frac{{\left(28\right)}^2}{25}$

Divide both sides by $25$,

$⟹\frac{25y}{25}=\frac{{\left(28\right)}^2}{25}\times \frac{1}{25}$

$y$ = ${\left(\frac{28}{25}\right)}^2$