The numbers that result in the top and bottom numbers are: -7 and -8
System of Linear Equations
System of linear equations is the given term math for two or more equations with the same variables. The solution of these equations represents the point at which the lines intersect.
You should convert the given text into linear equations.
x*y=56 (1)
x+y=-15 (2)
For equation 2, you have x=-15-y. Thus, you can replace this variable into equation 1.
(-15-y)*y=56
-15y-y²=56
-y²-15y-56=0
You find a quadratic equation. Solving this equation:
[tex]y_{1,\:2}=\frac{-\left(-15\right)\pm \sqrt{\left(-15\right)^2-4\left(-1\right)\left(-56\right)}}{2\left(-1\right)}\\ \\ y_{1,\:2}=\frac{-\left(-15\right)\pm \:1}{2\left(-1\right)}\\[/tex]
[tex]y_1=\frac{-\left(-15\right)+1}{2\left(-1\right)}=-8\\ \\ y_2=\frac{-\left(-15\right)-1}{2\left(-1\right)}=-7[/tex]
For equation 2,
x+y=-15
x+(-8)=-15
x=-15+8=-7
- For y=-7
- x+y=-15
- x+(-7)=-15
- x=-15+7=-8
Read more about the quadratic function here:
brainly.com/question/1497716
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