Answer:
The number of intersections = ∞
Step-by-step explanation:
Given the system of equations:
0.5 x + 5y = 6
3x + 30y = 36
By multiplying the first equation by 6
∴ 6 (0.5 x + 5y) = 6 * 6
∴ 3x + 30y = 36
So, Those equations are "Dependent", because they are really the same equation, just multiplied the first equation by 6.
So, the two equations are identical
Therefore: They have infinity number of solutions.
See the attached figure.
0.5 x + 5y = 6 ⇒ in black color
3x + 30y = 36 ⇒ in red color
