one number is eight less than a second number. Twice the first is 12 more than 5 times the second. Find the numbers.

Answer 1

x = y - 8

2x = 12 + 5y

2(y - 8) = 12 + 5y

2y - 16 = 12 + 5y

3y = -28

y = -28/3

x = (-28/3) - (24/3) = -52/3

You should check that these 2 numbers satisfy the problem.