How do you solve 2xy=4 and 4x=2y+8?

1 Answer
Apr 7, 2015

Dividing both sides of the second equation by 2, we get

4x2=2y2+82

2x=y+4

2xy=4

This is the same equation as the first one. It means that there are INFINITE solutions for x and y.
Any values of x and y that satisfy the first equation will also satisfy the second one.

For eg. if we choose x = 2, y = 0:

First equation :
2xy=4
(22)0=4 (which is equal to the Right Hand Side)

Second equation :
4x=2y+8
Left Hand Side is 4x=42=8
And the Right Hand Side is 2y+8=(20)+8=8

Both the equations will be satisfied for various such values of xandy like (3,2);(4,6) and so on..