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

graph showing f of x equals absolute value of x minus 4, plus 2 and g of x equals 3x plus 2. the graphs intersect at the point 1 comma 5.

The solution of the system of equations is:

,

Step-by-step explanation:

If we have a system of equations composed of the functions f(x) and g(x), then the solution to this system will always be a value , or a set of values , , .., , for which it is fulfilled what:

In other words, the solution is the point that belongs to both functions, or where the functions intersect.

in this case we have the function

Observe in the attached graph that there is a point where both functions intersect, that is, where both are equal.

That point is the ordered pair (1, 5).

Note that .

Then the solution of the system of equations is:

,

50x5=$250

step-by-step explanation: