Question

3/x+y + 2/x-y = 2 ; 9/x+y - 4/x-y = 1

Answer 1

Answer:

x=$\frac{5}{2}$=2.5

y=$\frac{1}{2}$=0.5

Step-by-step explanation:

LET 1/x+y=a and 1/x-y=b

3a+2b=2

Multiplying both side by 2

6a+4b=4-----(1)

9a-4b=1------(2)

adding equation(1) and equation(2):-

15a=5

a=1/3 and b=1/2

1/x+y=a , 1/x-y=b

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

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

adding equation(3) and equation(4):-

2x=5

x=$\frac{5}{2}$=2.5

y=$\frac{1}{2}$=0.5

Answer 2

Step-by-step explanation:

x=\frac{5}{2}

2

5

=2.5

y=\frac{1}{2}

2

1

=0.5

Step-by-step explanation:

LET 1/x+y=a and 1/x-y=b

3a+2b=2

Multiplying both side by 2

6a+4b=4-----(1)

9a-4b=1------(2)

adding equation(1) and equation(2):-

15a=5

a=1/3 and b=1/2

1/x+y=a , 1/x-y=b

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

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

adding equation(3) and equation(4):-

2x=5

x=\frac{5}{2}

2

5

=2.5

y=\frac{1}{2}

2

1

=0.5