## Intermediate Algebra: Connecting Concepts through Application

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.