Given:
Let the two numbers be x and y.
Two numbers multiply to be -7 and add to be -6.
This can be written in equation as,
[tex]xy=-7[/tex] and
[tex]x+y=-6[/tex]
Value of the two numbers:
Let us determine the value of the two numbers using substitution method.
Substituting [tex]y=-6-x[/tex] in the equation [tex]xy=-7[/tex], we get;
[tex]x(-6-x)=-7[/tex]
Simplifying, we get;
[tex]-6x-x^2=-7[/tex]
[tex]x^2+6x-7=0[/tex]
[tex](x+7)(x-1)=0[/tex]
[tex]x=-7, 1[/tex]
Thus, the values of x are x = 1,-7
When x = 1 , the equation [tex]x+y=-6[/tex] becomes [tex]y=-7[/tex]
When x = -7, the equation [tex]x+y=-6[/tex] becomes [tex]y=1[/tex]
Therefore, the two numbers are 1 and -7
