Answer:
(C) Infinitely many solutions
Step-by-step explanation:
Converting the lines into the from [tex]ax+by+c=0[/tex]
[tex]5y=15x-40\\\Rightarrow 15x-5y-40=0[/tex]
[tex]y=3x-8\\\Rightarrow 3x-y-8=0[/tex]
[tex]\dfrac{a_1}{a_2}=\dfrac{15}{3}=5[/tex]
[tex]\dfrac{b_1}{b_2}=\dfrac{-5}{-1}=5[/tex]
[tex]\dfrac{c_1}{c_2}=\dfrac{-40}{-8}=5[/tex]
So, [tex]\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}[/tex].
Hence, these lines have infinitely many solutions.
