Question

Solve the following linear equation and check your answer .​

Answer 1

Answer:

x = -24 / 51

Step-by-step explanation:

4x - 12/20  ÷  4 - 21x/3 = -3 / 20

==> (4x - 12) X 3 ÷ 20 X (4 - 21x) = -3 / 20

==> 12x - 36 ÷ 80 - 420x = -3 / 20

Cross - multiply the RHS with the LHS.

==> 240x - 720= -240 + 1260x

==> 1260x - 240x = -720 + 240

==> 1020x = -480

==> x = -480 / 1020

==> x = -24 / 51

Therfore,

Final answer = -24 / 51.

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Answer 2

$\frac{ \frac{x}{4} - \frac{3}{5} }{ \frac{4}{3} - 7x} = - \frac{ 3}{20} .......(1) \\ \frac{ \frac{5x - 12}{20} }{ \frac{4 - 21x}{3} } = - \frac{3}{20} \\ \frac{5x - 12}{20} \times \frac{3}{4 - 21x} = - \frac{3}{20} \\ \frac{15x - 36}{80 - 420x} = - \frac{3}{20} \\ - 3(80 - 420x) = 20(15x - 36) \\ - 240 + 1260x = 300x - 720 \\ 1260x - 300x = - 720 + 240 \\ 960x = - 480 \\ x = - \frac{480}{960} \\ x = - \frac{1}{2} \\ for \: checking \: fill \: value \: of \: x \: in \: equation \: (1) in \: lhs\\ = \frac{ \frac{ - 1}{4 \times 2} - \frac{3}{5} }{ \frac{4}{3} - \frac{( - 7)}{2} } \\ = \frac{ \frac{ - 1}{8} - \frac{3}{5} }{ \frac{4}{3} + \frac{7}{2} } \\ = \frac{ \frac{ - 5 - 24}{40} }{ \frac{8 + 21}{6} } \\ = \frac{ \frac{ - 29}{40} }{ \frac{29}{6} } \\ = - \frac{29}{40} \times \frac{6}{29} \\ = - \frac{3}{20} = rhs$