Question

solve for x and y

1/2x + 1/3y = 2
1/3x + 1/2y = 13/6

please answer fast

I will mark as brainlist ​

Answer 1

you just need to solve using subtraction

Answer 2

$\frac{1}{2} x \: + \frac{1}{3} y \: = 2.......(1) \\ \frac{1}{3} x + \frac{1}{2} y = \frac{13}{6} ..........(2) \\mutiply \: by \: 2 \: in \: (1) \: in \: (2) \: multiply \: by \: 3 \\ => x + \frac{2}{3} y = 4....(3) \\ => x + \frac{3}{2} y = \frac{13}{2} .......(4) \\ => - - - - - - - subtract \\ y( \frac{2}{3} - \frac{3}{2} ) = 4 - \frac{13}{2} \\ y( \frac{4 - 9}{6} ) = \frac{8 - 13}{2} \\ y = \frac{ - 5}{2} \times \frac{6}{ - 5} \\ y = \frac{6}{2} \\ y = 3 \\ put \: this \: value \: in \: equation \: (3) \\ x + \frac{2}{3} \times 3 = 4 \\ x + 2 = 4 \\ x = 2 \\ hence \: x = 2 \: and \: y = 3$