Question

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

Answer 1

Answer:

$x = 2$

$y = 3$

Solution:

$\frac{1}{2} x + \frac{1}{3} y = 2 \: .....(1)$

$\frac{1}{3} x + \frac{1}{2} y = \frac{13}{6} \: .....(2)$

Multiplying the equation (1) & (2) by 6 .

we get,

$3x + 2y = 12 \: .....(3)$

$2x + 3y = 13 \: .....(4)$

After adding the equation (1) & (2).

we get,

$5x + 5y = 25 \:$

Dividing it by 5.

we get,

$x + y = 5 \: .....(5)$

Substrating the equation (3) & (4).

we get,

$x - y = -1 \: .....(6)$

By solving the equation (5) & (6).

we get,

$x = 2$

$y = 3$

Answer 2

full answer in the attachment

hope it helps