How many intersections are there of the graphs of the equations below? One-halfx + 5y = 6 3x + 30y = 36 none one two infinitely many

Question

Mathematics

Lance Rich

16 November, 19:58

How many intersections are there of the graphs of the equations below? One-halfx + 5y = 6 3x + 30y = 36 none one two infinitely many

+3

Answers (2)

Know the Answer?

Dax Levine · Answer 1

infinitely many

Step-by-step explanation:

1/2x + 5y = 6 ⇒ x+10y=12 3x + 30y = 36 ⇒ x+10y=12

As we see, these are equal lines, they overlap, so there are infinitely many intersections

Jaelynn Rosales · Answer 2

infinitely many

Step-by-step explanation:

You have the system

(1/2) x + 5y = 6

3x + 30y = 36

Multiplying the first equation by 6 results in 3x + 30y = 36, which is exactly the same as the second equation. The two graphs coincide, and so there are infinitely many solutions to this system