Question

Solve the following systems of equations 1/2x+1/3y=2 1/3x1/2y=13/6(x/0,y/0​

Answer 1

step by step explanation

let 1/x = a and 1/y be b

then,

2a +3b =2 -(1)

• 2a =2-3b

a = 2-3b/2

3a +2b=13/6 - (2)

putting a in equation 2

3 (2-3b) /2 +2b =13/6

6-9b/2 + 2b =13/6

6-9b+4b/2 =13/6

6-5b/2 = 13/6

3( 6-5b) = 13

18-15b= 13

18-13 = 15b

15 = 15b

b=1

put b in a

a = 2-3b/2

a= 2-3*1/2

a= -1 /2

a=1/x= -1/2

therefore , x= -2

b = 1 /y =1

therefore ,b=1

solved