Answer:
Infinite solutions.
Step-by-step explanation:
The given equations are :
-5x + y = -2 .....(1)
20x-4y = 8 .....(2)
We have,
a₁ = -5, a₂ = 20, b₁ = 1, b₂ = -4, c₁ = -2 and c₂ = 8
[tex]\dfrac{a_1}{a_2}=\dfrac{-5}{20}=\dfrac{-1}{4}\\\\\dfrac{b_1}{b_2}=\dfrac{1}{-4}=\dfrac{-1}{4}\\\\\dfrac{c_1}{c_2}=\dfrac{-2}{8}=\dfrac{-1}{4}[/tex]
It means,
[tex]\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}[/tex]
So, the system of equations has infinite solutions.
