Search View Help Applications using Factoring: Set up an algebraic equation and then solve the following problems. 1. An integer is 3 less than 5 times another. If the product of the two integers is 36 , then find the integers.

Step 1 ：Let's denote the two integers as x and y.

Step 2 ：The first equation based on the problem is \(y = 5x - 3\).

Step 3 ：The second equation based on the problem is \(xy = 36\).

Step 4 ：We can substitute y from the first equation into the second equation and solve for x.

Step 5 ：Then we can substitute x into the first equation to find y.

Step 6 ：The solutions for x and y are \((-12/5, -15)\) and \((3, 12)\).

Step 7 ：However, the problem states that the integers are x and y. Therefore, we discard the solution \((-12/5, -15)\) because -12/5 is not an integer.

Step 8 ：The solution \((3, 12)\) is the pair of integers that satisfy the conditions of the problem.

Step 9 ：Final Answer: The integers are \(\boxed{3}\) and \(\boxed{12}\).