Question

8
Solve for x and y: 2/x +3/y = 2, 1/x - 1/2y = 1/3, X 0.70​

Answer 1

Let 1/x=x,1/y=y

2x +3y =2, x-y/2=1/3*0.70

x-y/2=1/3*070/100

x-y/2=7/30

x=7/30+y/2

x=(7+15y)/30

2(7+15y/30)+3y=2

(7+15y)/15 +3y/1=2

(7+15y+45y)/15=2

(7+60y)/15=2

7+60y=2*15

7+60y=30

60y=23

y=23/60

x=(7+15*23/60)/30

x=(7+1*23/4)/30

x=(7/1+23/4)/30

x=(28+23/4)/30

x=(51/4)/30/1

x=51/120

x=17/40

x=1/x

1/x=17/40

x=40/17

y=1/y

1/y=23/60

y=60/23

That's it