Question

Solve by elimination method.
3/x - 1/y = 2 , 4/x + 3/y = 2​

Answer 1

Answer:

3x+2y=7 ----- (1)

4x−3y=−2----- (2)

Multiply equation (1) by 3 and equation (2) by 2, then subtract

9x+6y=21

8x−6y=−4

______________

17x=17

x=

17

17

=1

Put the value of x in equation (1), we get

3x+2y=7

3(1)+2y=7

2y=73

2y=4

y=

2

4

=2

Therefore the solution is (1, 2)

Answer 2

Step-by-step explanation:

3/x - 1/y = 2

3y - x = 2xy

x - 3y = -2xy --------- (1)

4/x + 3/y = 2

3x + 4y = 2xy -------- (2)

(1)*3 - (2)

3x - 9y = -6xy

(-) 3x + 4y = 2xy

= 0x - 5y = -8xy

-8x = -5

x = 5/8

put x = 5/8 in (1)

5/8 - 3y = -2.(5/8).y

(5-24y)/8 = -(5/4)y

5-24y = -10y

-24y + 10y = -5

-14y = -5

y = 5/14

:. x = 5/8 and y = 5/14