Question

Solve for x and y:

$\frac{x + 1}{2} -\frac{y + 4}{11} = 2 and \frac{x + 3}{2} + \frac{2y + 3}{17} = 5$

Answer 1

$<marquee behaviour-move><font color="red"><h1>Hola! (~‾▿‾)~</h1></marquee>$

$\frac{x + 1}{2} -\frac{y + 4}{11} = 2 - - - - (1) \\ \\ \frac{x + 3}{2} + \frac{2y + 3}{17} = 5 - - - - (2)$

on solving equation (1)

$\frac{11x + 11 - 2y - 8}{22} = 2 \\ \\ 11x - 2y + 3 = 44 \\ \\ 11x - 2y = 41 - - - (3)$

on solving equation (2)

$\frac{17x + 51 + 4y + 6}{34} = 5 \\ \\ 17x + 4y = - 52 - - - (4)$

By elimination method in equation (3) and (4)

$22x - 4y = 82 \\ 17x + 4y = - 52$

_____________________

$39x = 30 \\ x = \frac{30}{39}$