Question

1/2x+1/3y=2
1/3x+1/2y=13/6​

Answer 1

Answer:

X=1/2 and Y=1/3

Step-by-step explanation:

1/2x+1/3y =2

3y+2x=12xy.......i

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

2y+3x=13xy.......ii

Solving i and ii we get y=1/3 and x=1/2

Answer 2

Answer:

$\frac{1}{2x} + \frac{1}{3y} = 2 \: \: .......eq(1) \\ \frac{1}{3x} + \frac{1}{2y} = \frac{13}{6} \: \: \: ....... \: eq(2) \\ muntiply \: by \: 3 \: in \: eq \:( 1)and \: in \: eq \: (2)by \: 2 \: the \: eq \: become \\ \frac{1}{6x} + \frac{1}{9y} = \frac{2}{3 } \\ \frac{1}{6x} + \frac{1}{4y} = \frac{13}{12} \\ \frac{1}{9y} - \frac{1}{4y} = \frac{2}{3} - \frac{13}{12} \\ \frac{4y - 9y}{36y} = \frac{8 - 13}{12} \\ \frac{ - 5y}{36y} = \frac{ - 5}{12} \\ - 60y = - 180y \\ y = 1/3$