Question

how many solutions does the system of equations below have?
$y = 5x + \frac{7}{9}$
$y = 5x + \frac{7}{2}$
no solution
one solution
infinitely many solutions

Explanation:

Step1: Identify line form

Both equations are in $y=mx+b$ form, with equal slopes $m=5$, different y-intercepts $\frac{7}{9}
eq \frac{7}{2}$.

Step2: Classify solution type

Parallel lines with distinct intercepts never intersect, so there are no shared solutions.

Answer:

no solution