Note that the second equation can be arranged as
y = 6x - 42
Sub this into the first equation for y
2x - 9 ( 6x - 42) = 14 simplify
2x - 54x + 378 = 14
-52x = 14 - 378
-52x = -364
x = -364 / -52 = 7
And y = 6(7) - 42 = 0
So....xy = 7*0 = 0
If 2x - 9y = 14 and 6x=42+y, what is the value of the product xy?
2x - 9y = 14 (1)
6x = 42 + y (2)
(1) × 3 = 6x - 27y = 42 (3)
(2) & (3) = 42 + y - 27y = 42
y = 27y
Only holds if y = 0 assuming y is a real number.
If x is also a real number, x * y will always be 0 because y = 0.
xy=0