Answer:
[tex]\displaystyle \left ( 1\frac{3}{4} , 2\frac{1}{2} \right)[/tex]
Step-by-step explanation:
The system of equations shown in the graph gives us an estimate of its solution where both lines intersect. We can clearly see it happens when x is between 1 and 2, closer to 2, and when y is close to the midpoint between 2 and 3.
Only the first and third options look like the solution of the system. The point
[tex]\displaystyle \left ( 1\frac{1}{3} , 2\frac{1}{2}\right)[/tex]
is not the correct answer because x is closer to 1 than to 2
On the other hand, the point
[tex]\displaystyle \left ( 1\frac{3}{4} , 2\frac{1}{2} \right)[/tex]
is the correct answer because x is closer to 2 than to 1, as we estimated before
