Answer:
A. x = -3, 6
Step-by-step explanation:
the equations are xy = 6 and 3y = x - 3
we need to find x so we can separate it from y by changing any equation.
we going to change xy = 6 to y = 6 / x
now the equations are:
y = 6 / x
3y = x -3
we can substitute y into the second equation now.
3(6/x) = x - 3
18 / x = x - 3
18 = x (x-3)
18 = x^2 - 3x
x^2 - 3x - 18
(x - 6)(x + 3) = 0
x - 6 = 0
x = 6
x + 3 = 0
x = -3
