Question

3y-2/7 - 5y-8/4 = 1/14​

Answer 1

★ SOLUTION

$\implies \: 3y \: - \frac{2}{7} - \: 5y \: - \: \frac{8}{4} \: = \frac{1}{14} \\ \\ \implies \: - 2y - \frac{2}{7} \: - \frac{8}{4} = \: \frac{1}{14} \\ \\ \implies \: - \frac{2}{7} - \frac{8}{4} - \frac{1}{14} = \: 2y \\ \\ \implies \: - ( \: \frac{2}{7} + \frac{2}{1} + \frac{1}{14} \: ) = \: 2y \\ \\ \implies \: - \: ( \: \frac{4 + 28 + 1}{14} \: ) = 2y \\ \\ \implies \: \: - \: \frac{33}{14} = 2y \\ \\ \implies \:y = - \frac{33}{14} \times \frac{1}{2} \\ \\ \implies \: - \frac{33}{28}$

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Answer 2

Answer:

$\huge\textbf\color{red}{⭐SOLUTION }$

$\implies \frac{4(3y - 2) - 7(5y - 8)}{28} = \frac{1}{14 }$

$\implies \frac{12y - 8 - 35 + 56}{28} = \frac{1}{14}$

$\implies \frac{ - 23y + 48}{28} = \frac{1}{14}$

$\implies - 23y + 48 = \frac{1}{14 } \times 28 = 2$

$\implies - 23y = 48 - 2$

$\implies - 23y = 46$

$\implies \: y = \frac{46}{ - 23} = 2$

$\color{orange} \implies \: y = 2$

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