Question

4.
If 2x+3y=14, 2x-3y=2 the value of xy is​

Answer 1

Answer:

2x+3y=14

=>2x=14-3y

Now, 2x-3y=2

=>14-3y-3y=2

=>14-6y=2

=>6y=12

=>y=12/6

=2

=>2x+3y=14

=>2x+3(2)=14

=>2x+6=14

=>2x=14-6

=8

=>x=8/2

=4

=>xy=4×2

=8

Answer 2

Answer:

by elimination

2x+3y=14

2x-3y=2

-. +. -

_____________

0+3y=12

3y=12

y=12/3

y=4

2x+3y=14

2x+3(4)=14

2x+12=14

2x=14-12

2x=2

x=2/2

x=1

xy=1(4)

xy=4