Answer
(-8, 0.6)
consistent and independent
Work Step by Step
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.