#### Answer

(6,7)
consistent and independent

#### Work Step by Step

y=2x-5
Plug the equivalent of y into the other given equation:
y=$\frac{1}{3}$x+5
(2x-5)=$\frac{1}{3}$x+5
2x-$\frac{1}{3}$x=5+5
$\frac{5}{3}$x=10
5x=30
x=6.
Now that we have the answer for the x-value, plug it back into one of the original equations to find the answer for the y-value:
y=2x-5
y=2(6)-5
y=12-5
y=7.
Therefore the answer is (6,7). There is one solution, so the system is consistent and the lines are independent.