Question

Solve. :-

$\rm{\frac{17(2 - x) - 5(x + 12)}{1 - 7x} = 8}$
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Answer 1

Answer:

$\pink{☯}$ Solution :

We have,

$\purple{\longrightarrow } \pink{\bf{{\frac{17(2 - x) - 5(x + 12)}{1 - 7x} = 8}}}$

$\space$

$\rm{ \purple{\implies} \frac{34 - 17x - 5x - 60}{1 - 7x} = \frac{8}{1} }$

$\space$

$\rm{ \purple{\implies} \frac{ - 22x - 26}{1 - 7x} } = \frac{8}{1}$

$\:$

[By cross Multiplication] We get,

$\rm{ \red{\implies}1 \times ( - 22x - 26) = 8 \times (1 - 7x)}$

$\space$

$\rm{ \red{\implies} - 22x - 26 = 8 - 56x}$

$\space$

$\rm{ \red{\implies} - 22x + 56x = 8 + 26}$

$\space$

$\rm{ \red{\implies} {34x = 34}}$

$\:$

[ Dividing both sides by 34 ] We get,

$\rm{ \purple{\implies} \frac{34x}{34} = \frac{34}{34} }$

$\:$

$\rm{ \purple{\implies} \pink{x} \blue{ = } \bf{ \green{1}}}$

Hence, $\rm{\pink{x} \blue{ = } \bf{ \green{1}}}$ is the Solution of the given equation.

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hope it helps Û!

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