Question

slove the following equations ​

Answer 1

Answer :- -1/2

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Step by step explanation :-

$\frac{ \frac{x}{4} - \frac{3}{5} }{ \frac{4}{3} - 7x} = \frac{ - 3}{20}$

$\frac{ \frac{5x - 12}{20} }{ \frac{4 - 21x}{3} } = - \frac {3 }{20}$

$\frac{(5x - 12)3}{20(4 - 21x)} = \frac{ - 3}{20}$

$60(5x - 12) = - 60(4 - 12x)$

$5x - 12 = - (4 + 21x)$

$5x - 12 = - 4 + 12x$

$5x - 12x = - 4 + 12$

$- 16x = 8 \\ x = - \frac{8}{16} \\ x = - \frac{1}{2}$

Answer 2

Answer:-

$\mathsf{ \frac{ \frac{x}{4} - \frac{3}{5} }{ \frac{4}{5} - 7x } = - \frac{3}{20} }$

$\mathsf{ \frac{ \frac{5x - 12}{20} }{ \frac{4 - 21x}{3} } = - \frac{3}{20} }$

$\mathsf{ \frac{3(5x - 12)}{20(4 - 21x)} = - \frac{3}{20} }$

[cross multiply]

$\mathsf{60(5x - 12) = - 60(4 - 21x)}$

[60 gets cancelled]

$\mathsf{5x - 12 = - 4 + 21x}$

$\mathsf{5x - 21x = - 4 + 12}$

$\mathsf{ - 16x = 8}$

$\mathsf{ - x = \frac{8}{16} }$

$\mathsf{ - x = \frac{1}{2} }$

$\mathsf{x = - \frac{1}{2} }$