Answer
The system is inconsistent.
No solutions.
Work Step by Step
Rewrite the equations in the form $y=mx+b$
$\left[\begin{array}{llllll}
2.5x-0.5y & =-23.5 & ... & 7.5x-1.5y & =23.5 & \\
-0.5y & =-2.5x-23.5 & & -1.5y & =-7.5-23.5 & \\
y & =\frac{-2.5}{-0.5}x-\frac{23.5}{-0.5} & & y & =\frac{-7.5}{-1.5}x-\frac{23.5}{-1.5} & \\
y & =5x+47 & & y & =5x+\frac{47}{3} &
\end{array}\right]$
See screenshot below.
We generated values for x until we observed that
for a change in x of +1, y changes in both cases by +5.
So, both have slopes $m=5/1=5.$
For the row in which $x=0$, the y values are different, so the y-intercepts are different.
These are parallel lines that do not intersect.
The system is inconsistent.
No solutions.
