Answer
No solution (inconsistent system)
Work Step by Step
Rewrite the first equation in its slope intercept form and compare it to the second.
$$\begin{aligned}
7x+17.5y&= 10.5\\
17.5y&= -7x+10.5\\
y&= -\frac{7}{17.5}x+\frac{10.5}{17.5}\\
y&= -0.4 x+0.6.
\end{aligned}$$ Rewrite the system: $$\begin{cases}
y&= -0.4 x+0.6\\
y & = -0.4 x+1.8
\end{cases}$$ We are asked to use the method of substitution to solve the given system. However, we see that both equations have the same slope but different $y$-intercepts. This means that the lines are parallel. Since parallel lines do not intercept, the system is inconsistent and has no solution.
