Select the correct answer. Consider the following system of equations.

Solve for x coordinate of solution
Check given value in options and approximate them
So x coordinate is -13/4
Option C is correct as no one contains -13/4 except C
Answer:
[tex]\sf C. \quad \left(-\dfrac{13}{4},\dfrac{5}{2}\right)[/tex]
Step-by-step explanation:
The solution to a system of graphed equations is the point of intersection.
From inspection of the graph:
As the x-coordinate is negative, this eliminates answer options A and B.
Assessing the x-coordinate of answer options C and D:
⇒ C. -13/4 = -3.25
⇒ D. -5/2 = -2.5
Therefore, as the x-coordinate of the point of intersection is between -4 and -3, the approximate solution of the system of equations is:
[tex]\sf C. \quad \left(-\dfrac{13}{4},\dfrac{5}{2}\right)[/tex]