Solve using the elimination method. If the system has no solution or an infinite number of solutions, state this.
-2x - 8y = 22
-6x - y = 20
-2x - 8y = 22 ...(1)
-6x - y = 20 ...(2)
(2)-3(1)
23y = -46
y = -2 ...(3)
substitute (3) in(2)
-6x +2 = 20
x=-3 ...(4)
substitute (3) and (4) in (1)
6 + 16 =22 = RHS
So
x=-3, y=-2