Intermediate Algebra: Connecting Concepts through Application

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.