Answer:
3, 8
Explanation:
Let's make the first integer x and the second integer y.
Now, you take the information given and convert it into a system of equations:
xy = 24
x = 5y - 7
y = 24 / x
Now, we substitute:
(5y - 7) · y = 24
Distribute y
5y² - 7y = 24
Rearrange it into a quadratic equation:
ax² + bx + c = 0
5y² - y - 24 = 0
Use the quadratic formula (shown in image) and plug in the values:
x = (- (7) ±
) / 2(5)
=

Remember that ± means there are two y values

and

Since y must be an integer, we know that y = 3
Now, plug in y:
5(3) - y = 24
15 - y = 24
- y = -24
y = 8
Let's check to see if we are right:
5y - 7 = 5(3) - 7 = 15 - 7 = 8
It works!