Answer:
the system has a unique solution
Step-by-step explanation:
Start with an equation of a line in standard form,
[tex] ax + by = c [/tex]
Solve it for y to put it into the slope-intercept form:
[tex] by = -ax + c [/tex]
[tex] y = -\dfrac{a}{b}x + \dfrac{c}{b} [/tex]
The slope is -a/b.
Now look at your system of equations. The slope of the first equation is -a/b = -2/3. The slope of the second equation is -a/b = -6/5.
You have a system of two linear equations with two lines with different slopes, so the lines must intersect at a single point.
Answer: the system has a unique solution
