Using a system of equations, it is found that the numbers are 5 and -7.
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, we say that the numbers are x and y.
They multiply to -35, hence:
xy = -35.
They add to -2, hence:
x + y = -2 -> y = -2 - x
Replacing on the first equation:
x(-2 - x) = -35
-x² - 2x + 35 = 0
x² + 2x - 35 = 0
(x + 7)(x - 5) = 0
x = -7 -> y = 5
x = 5 -> y = -7
Hence the numbers are 5 and -7.
More can be learned about a system of equations at https://brainly.com/question/24342899
