Based on the calculations, the two numbers are -3 and -5 respectively.
How to solve the word problem.
In this exercise, you're required to find two numbers. Thus, we would assign a variable to the numbers and then solve the algebraic expression by using the substitution method.
Let the first number be x.
Let the second number be y.
Translating the word problem into an algebraic expression, we have;
[tex]x+y=-8[/tex] ...equation 1.
[tex]xy=15[/tex] ....equation 2.
From eqn. 1, we have:
[tex]x=-8-y[/tex] ....equation 3.
Substituting eqn. 3 into eqn. 2, we have:
[tex](-8-y)y=15\\\\-8y-y^2=15\\\\y^2+8y+15=0\\\\y^2+5y+3y+15=0\\\\y(y+5)+3(y+5)=0\\\\(y+5)(y+3)=0[/tex]
y = -5 or -3.
For the value of x:
[tex]x=-8-y\\\\x=-8-(-5)\\\\x=-8+5[/tex]
x = -3 or -5.
Read more on word problems here: brainly.com/question/13170908
