Question

Solve the following pair of equation by reducing them to a pair of linear equation
1/2x+ 1/3y =2
1/3x +1/2y =13/6​

Answer 1

Step-by-step explanation:

Hey Mate We can Solve This By elimination Method

Let 1/X be A and 1/y be B

therefore The Equation Will Be like This

A/2+B/3 =2...........(1)

A/3 + B/2 = 13/6...........(2)

therefore

In (2)

2A+3B/6=13/6

2A+3B=3..............(a)

and

(1) 3A+2B/6=2

3A+2B=12............(b)

From a and B By elimination Method

in (a)

2*[3A+2B=12]

in (b)

3*[2A+3B=3]

Therefore now

(a)-(b)

6A+4B=24

6A+9B=9

0A-5B=15

B=-3

in (b)

3A+2(-3)=12

3A=12+6

A=6

Therefore Now

We had took

1/X as A

and 1/y as B

so x=1/6 y= -1/3

hope that helps