Question

solve 1/x+y - 1/2x = 1/30 , 5/x + y + 1/x=4/3.Hence , find the value of 2x² - y².
Give answer with full explanation.The first correct ans will be marked as brainliest by me.​

Answer 1

Step-by-step explanation:

let 1/x+y=u & 1/x=v then

u-1v/2=1/30

2u-v=1/15-----(1)

5u+v=4/3-----(2)

2u=1-15v/15

u=1-15v/30

put this in eq 2

5(1-15v/30)+v=4/3

1-15v+6v=4×6/3

-9v=8-1

v= -7/9

u=1+15(-7/9)/30

u=9-105/30

u=270-105/30

u=165/30

u=11/2

v=1/x

x= -9/7------(3)

u=1/x+y

x+y=1/u

x+y=2/11

y=2/11+9/7

y=14+99/77

y=103/77------(4)

2x²-y²

2(-9/7)²-(103/77)²

2(81/49)-(10609/5929)

162/49-10609/5929

960498-519841/290521

440657/290521

8993/5929

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