Question:
If –43 y = –34 then y is equal to
(a) $-\left[\frac{3}{4}\right]^{2}$
(b) $-\left[\frac{4}{3}\right]^{2}$
(c) $\left[\frac{3}{4}\right]^{2}$
(d) $\left[\frac{4}{3}\right]^{2}$
Solution:
(c) Given, $-\frac{4}{3} y=\frac{-3}{4}$
$y=\frac{-3}{4} \times \frac{-3}{4}$ [by cross-multiplication]
$\Rightarrow \quad y=\left(\frac{3}{4}\right)^{2}$
Hence, the value of $y$ is $\left(\frac{3}{4}\right)^{2}$.
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