The sum of two numbers is 13 2 times the first number minus 3x and the second number is 1 if you let x stand for the first number and why for the second number what are the two numbers

If we let x be the first number and y be the second, we have (x + y) =13 and (2x - 3y) = 1. From the first equation, we have x = (13- y). Substituting this into the second one, we have 2(13 - y) - 3y = 1. Distributing the equation and re-arranging it, we now have (-5y) = (-26). Dividing both sides by -5, we have y = 5. Now x = (13 - y) = 8. Therefore, the two numbers are 5 and 8.