Question

I find this very confusing, would someone please help me and explain how you got the answer?

Answer 1

Answer:

Solutions: $(-4,4)$ and $(2,1)$

The solutions of the System of equations were found at the points of intersection between the line and the parabola.

Step-by-step explanation:

You can observe that the first equation of the System of equations is Quadratic.

By definition, when you graph a Quadratic equation, you get a parabola.

The second one is the equation of a line, then its graph is a straight line.

By definition, it is important to remember that, when you have a System of equations that contains a Quadratic equation and a Linear equation and you graph them, if the line intersects the parabola at two points, then those points are the solutions of the System of equations.

In this case, you can observe that the line instersects the parabola at two points; then the System has two real solutions.

Therefore, keeping on mind the explanation given above, you can determine that the solutions of the System of equations, in the form $(x,y)$, are the following:

$(-4,4)$ and $(2.1)$