Determine the solution to the system of equations graphed below and explain your reasoning in complete sentences.

The solution to the system of equations is (0, -3) because that is where the two graphs intersect. It is the only solution since the equations intersect at that point only.

Step-by-step explanation:

We have the two equations:

Remember that graphically, the solution(s) of a system of equations is always where the graphs intersect.

We can see that the two graphs intersect at (0, -3).

So, g(0) = -3 and f(0) = -3 also.

And that is the only point of intersection. So the only solution to our system here is (0, -3).

answer: evaluate the objective function at each vertex to determine which - and -values, if any, maximize or minimize the function. example: find the minimum value and maximum value of the objective function f ( x , y ) = 4 x + 5 y , subject to the following constraints