Question

T
Solve the following pair of
equation by reducing to a bous of
lineas equation
½x + 1/3y = 2 , 1/3x+1/2 y = 13/6
​

Answer 1

Step-by-step explanation:

3x-2y/6=2

3x-2y=12..........(1)

2x+3y/6=13/6

2x+3y=13...........(2)

multiplying equation (1),(2) with 2 and 3,

2(3x-2y)=2(12)

6x-4y=24............(3)

3(2x+3y)=3(13)

6x+9y=39..........(4)

Now,solving equation (3) and (4),

6x-4y=24

6x+9y=39

=)-13y=-15

y=13/15

putting the value in equation (1),

3x=12+2(13/15)

3x=180+26/15

x=206/15 ×1/3

x=206/45