Question

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Answer 1

16. Find x such that

$\\(i) \bf \: \dfrac{3}{5} = \dfrac{ \: \: x}{ - 25}$

$\sf~~~~~:~~~\implies \: 3 \times ( - 25) = 5 \times x$

$\sf~~~~~:~~~\implies \: x = \dfrac{75}{5}$

$\bf~~~~~:~~~\implies \: x =25$

$\\(ii) \bf \: \dfrac{13}{6} = \dfrac{ - 65}{x}$

$\sf ~~~~~:~~~\implies\: 13 \times x = - 65 \times 6$

$\sf~~~~~:~~~\implies \: x = \dfrac{ - 65 \times 6}{13}$

$\sf~~~~~:~~~\implies \: x = { - 5 \times 6}{}$

$\bf~~~~~:~~~\implies \: x = - 30$

$\\(iii) \bf \: \frac{16}{x} = - 4$

$\sf ~~~~~:~~~\implies\: ( - 4 )\times x = 16$

$\sf ~~~~~:~~~\implies\: - x = 4$

$\bf ~~~~~:~~~\implies\: x = - 4$