## Intermediate Algebra: Connecting Concepts through Application

y=$\frac{1}{5}$x+$\frac{11}{5}$ y=0.2x+2.2 Plug the equivalent of y into the other given equation: y=$\frac{2}{5}$x+$\frac{19}{5}$ y=0.4x+3.8 (0.2x+2.2)=0.4x+3.8 2.2-3.8=0.4x-0.2x -1.6=0.2x -8=x x=-8. 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=0.2x+2.2 y=0.2(-8)+2.2 y=-1.6+2.2 y=0.6. Therefore the solution is (-8, 0.6). Since there is only one solution, the system is consistent and the lines are independent.