Chapter 2 - Systems of Linear Equations and Inequalities - 2.1 Systems of Linear Equations - 2.1 Exercises - Page 143: 57

The system is consistent with dependent lines. There are infinitely many solutions.

Rewrite the second equation as $7n-5C=-370$ $-5C=-7n-370$ $C=\displaystyle \frac{-7}{-5}n-\frac{370}{-5}$ $C=1.4n+74$ We generated values for $n$ until we observed that all rows (values of n) generate the same C values. So, both equations represent the same line. They are dependent. There are infinitely many solutions.