Answer
The system has no solution.
Work Step by Step
Observing the equation form $\quad y=mx+b$,
(slope-intercept form,)
we read slope = $m$, and the y intercept of the line is at $(0,b)$
Two lines with different slopes intersect at ONE intersection point.
Two lines with same slopes:
- are parallel, if their y-intercepts are different, or
- coincide, if if the y-intercepts are equal as well.
---
$\left[\begin{array}{llll}
& \text{slope, }m & , & \text{intercept , } b\\
\text{first line: } & 1/2 & & -3\\
\text{second line: } & 1/2 & & -5
\end{array}\right]$
These lines have equal slopes, but their y-intercepts differ,
$\Rightarrow$ they are parallel, have no intersections.
The system has no solution.
