Answer:
-6 and 5
Explanation:
Let x represent the first number, and let y represent the second
x and y multiply together to equal -30, so the equation for this is
xy=-30
x and y add to equal -1, and the equation for this is
x+y=-1
This is a system of equations
xy=-30
x+y=-1
Solve through the substitution method
Lets solve for x in the second equation
x=-y-1
Now substitute -y-1 in for x in the first equation
(-y-1)y=-30
Solve
-y^2-y=-30
Factor
(y + 6)(y - 5) = 0
Set each factor equal to 0 and solve
y+6=0, y=-6
y-5=0, y=5
Put each number in for y in one of the equations
-6x=-30
x=5
One answer is x=5, y=-6
5x=-30
x=-6
Another answer is x=-6, y=5
Since these answers contain the same numbers the answer is still -6 and 5.
You can also solve this by trial and error.