5x = y + 6 (I)
2x - 3y = 4 (II)
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We have:
5x = y + 6 → \(x = \frac{y+6}{5}\)
Soon:
2x - 3y = 4 → \(2* (\frac{y+6}{5}) - 3y = 4\to \frac{2y+12}{5} - 3y = 4\)
least common multiple (5)
\(\frac{2y+12}{5} - 3y = 4\to \frac{2y+12}{\diagup\!\!\!\!\!5} - \frac{15y}{\diagup\!\!\!\!\!5} = \frac{20}{\diagup\!\!\!\!\!5}\)
\(2y + 12 - 15y = 20\)
\(- 15y + 2y = 20 - 12\)
\(- 13y = 8\)
\(\boxed{\boxed{y = - \frac{8}{13} }}\end{array}}\qquad\quad\checkmark\)
