Find x, such that: -2 3 =6 x - Vidyadip

Question

Find $x$, such that: $\frac{-2}{3}=\frac{6}{x}$

✓

Answer

$\begin{aligned} & \frac{-2}{3}=\frac{6}{x} \\ & -2 x=6 \times 3 \\ & x=\frac{6 \times 3}{-2}=-3 \times 3=-9 \\ & \therefore \frac{-2}{3}=\frac{6}{-9}=-\frac{6}{9} \\ & \text { OR } \\ & \frac{-2}{3}=\frac{6}{x} \\ & \Rightarrow \frac{-2 \times 3}{-3 \times 3}=\frac{6}{x} \\ & \Rightarrow \frac{6}{-9}=\frac{6}{x} \\ & \Rightarrow x=-9\end{aligned}$

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