Answer:
x = 9 and y = -3
Step-by-step explanation:
Let's say the first integer is x and the second one is y. Then, if we put the words into mathematical expressions, we get:
x = 15 + 2y
xy = -27
We can use substitution to solve this system of equations. We put 15 + 2y in for x in xy = -27:
(15 + 2y)*y = -27 ⇒ 2y² + 15y = -27 ⇒ 2y² + 15y + 27 = 0
Now, we have a quadratic to solve, so after some trial and error, we get:
(2y + 9)*(y + 3) = 0
Setting each of these to 0, we get two possible answers for y:
y = -9/2 or y = -3.
However, it says that y is an integer, so it can't be -9/2 and must be -3. We use this to find x:
x = 15 + 2*(-3) = 15 - 6 = 9
So, the two numbers are x = 9 and y = -3.
