The variables x and y satisfy the equations

2/x−24/y=−1
and
6/x+33/y=2.
Find the product xy.

1 answer

6/x +33/y = 2
6/x -72/y = -3 (after tripling your first equation)
105/y = 5
y = 21
2/x -24/21 = -1
2/x = 3/21 = 1/7
x = 14
xy = 294