Question

The sum of two numbers exceeds their product by one.Their difference is equal to their product less five. Find the two numbers.

Answer 1

x+y = xy+1
x-y = xy-5
so, eliminating xy,
x+y-1 = x-y+5
2y = 6
y = 3
so, that means that
x+3 = 3x+1
x = 1
check:
3+1 = 3*1+1 yes
1-3 = 3*1 - 5 yes

Answer 2

Where did the 2y=6come from?

Answer 3

x+y-1=x-y+5
x-x+y+y=5+1
2y=6