#### Answer

(5,4)
consistent and independent

#### Work Step by Step

y=$\frac{1}{2}$x+$\frac{3}{2}$
y=0.5x+1.5
Plug the equivalent of y into the other given equation:
y=$\frac{3}{2}$x-$\frac{7}{2}$
y=1.5x-3.5
(0.5x+1.5)=1.5x-3.5
1.5+3.5=1.5x-0.5x
5=x
x=5.
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=0.5x+1.5
y=0.5(5)+1.5
y=2.5+1.5
y=4.
Therefore the answer is (5,4). Since there is only one solution, the system is consistent and the lines are independent.