Explanation:
Let the two numbers be x and y.
x + y = -3 [1] (equation 1)
x · y = 2 [2] (equation 2)
if you rearrange the terms in equation 2, you will get x = 2 - y.
Substitute x = 2 - y into [1]:
x + y = -3 [1]
(2 - y) + y = -3
2 + y + y = -3
2 + 2y = -3
2y = -3 - 2
2y = -5
y = -5/2
y = -2.5.
Substitute y = -2.5 into [1]:
x + y = -3 [1]
x + (-2.5) = -3
x = -3 + 2.5
x = -0.5.
Now, let's check if both the numbers are correct.
Verification:
You can substitute the values for x and y into any one of the equations, or both of them, to check if they are correct. Here I will only substitute them into equation 1.
The sum of the two numbers must be -3.
Substitute x = -0.5 and y = -2.5 into [1]:
x + y = -3.
(-0.5) + (-2.5) = -3
-3 = -3.
So, the two numbers add up to -3.
Therefore, the two numbers are -0.5 and -2.5.