Question

equation
$\frac{x}{2} + \frac{y}{3 } = 8 \\ \frac{5x}{4} - 3y = - 3$

Answer 1

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$x \div 2 + y \div 3 = 8 \\ \\ (3x + 2y) \div 6 = 8 \\ \\ 3x + 2y = 48 \\ \\ 18x + 12y = 288 \: \: \: \: \: \: \: \: \: \: ..........(i)$


$5x \div 4 - 3y = - 3 \\ \\ (5x - 12y) \div 4 = - 3 \\ \\ 5x - 12y = - 12 \: \: \: \: \: \: \: \: \: \: \: .............(ii)$
eq (i) + (ii)
$23x = 276 \\ x = 12 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: ................(iii)$
using eq (iii) in (ii)
$5 \times 12 - 12y = - 12 \\ 60 - 12y = - 12 \\ 12y = 72 \\ y = 6$
thus x = 12 and y = 6