Question

Solve by Substitution method :

$\\ \frac{3x}{2} - \frac{5y}{3} = - 2 \\ \\ \frac{x}{3} + \frac{y}{2} = \frac{13}{6}$

Class 10

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Answer 1

HEYA!!
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$\frac{ 3x}{2} - \frac{5y}{3} = - 2 \\ \\ \frac{9x - 10y}{6} = - 2 \\ \\ 9x - 10y = - 12..................... |1| \\ \\ \\ \\ \frac{x}{3} + \frac{y}{2} = \frac{13}{6} \\ \\ \frac{2x + 3y}{6} = \frac{13}{6} \\ \\ 12x + 18y = 78 \\ \\ 2x + 3y = 13 .................. |2| . \\ \\ \\ < solving \: \: |1| and \: |2| by \: substitution \: > \\ \\ from \: |1| \\ \\ 9x + 12 = 10y \\ \\ \frac{9x + 12}{10} = y \\ \\ put \: value \: of \: y \: in \: |2| \\ \\ 2x + 3( \frac{9x + 12}{10} ) = 13 \\ \\ 2x + \frac{27x + 36}{10} = 13 \\ \\ \frac{20x + 27x + 36}{10} = 13 \\ \\ 47x + 36 = 130 \\ \\ 47x = 94 \\ \\ x = 2................ < 3 > \\ \\ put \: x = 2 \: in \: |2| \\ \\ \\ \\ 2x + 3y = 13 \\ \\ 4 + 3y = 13 \\ \\ 3y = 9 \\ \\ y = 3$
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