Question

2. The solution of the system of equations 2x +5y/xy=6 and 4x-5y/xy+3=0 is
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Answer 1

Answer:

x=1,y=2

Step-by-step explanation:

divide xy on left side of both equation

2x/xy+5y/xy=6

4x/xy-5y/xy=-3

2/y+5/x=6

4/y-5/x=-3

1/y=a,1/x=b

2(1/y)+5(1/x)=6

4(1/y)-5(1/x)=-3

2a+5b=6

4a-5b=-3

By elimination method

6a=3

a=1/2

sub a=1/2

2a+5b=6

2(1/2)+5b=6

1+5b=6

5b=5

b=1

1/y=a

1/y=1/2

y=2

1/x=b

1/x=1

x=1