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

Question

GrogVix [38]

3 years ago

8

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

many

Mathematics

2 answers:

Keith_Richards [23] · Answer 1 · 2022-06-06T05:40:33+03:00

Keith_Richards [23]3 years ago

5 0

Answer:

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

Sergeu [11.5K] · Answer 2 · 2022-06-06T04:33:17+03:00

Answer:

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