The system shown is _____.

A.) consistent
B.) inconsistent
C.) equivalent

The system shown is consistent ⇒ A

Step-by-step explanation:

A consistent system of equations has at least one solution

The consistent independent system has exactly 1 solutionThe consistent dependent system has infinitely many solutions

An inconsistent system has no solution

In the system of equations ax + by = c and dx + ey = f, if

a = d, b = e, and c = f, then the system is consistent dependent and has infinitely many solutionsa = d, b = e, and c ≠ f, then the system is inconsistent and has no solutiona ≠ d, and/or b ≠ e, and/or c ≠ f, and   ≠ , then the system is consistent independent and has exactly one solution  

From the given graph

∵ The two lines intersected at one point

∴ This point lies on the two lines

→ That means this point satisfies the equations of the lines

∴ The system of equations represented by the two lines has 1 solution

→ By using rule 3 above

∴ The system shown is consistent

You can simplify it first:
36/20 = 18/10
          = 9/5

then divide 9 by 5
9/5 = 1.8