3 years ago

How many intersections are there of the graphs of the equations below?

Mathematics

1 answer:

kipiarov [429]3 years ago

6 0

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

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