How do you know if a system or equations has one solution, no solution, or infinitely many solutions

Step-by-step explanation:

We transform the system of equations to the form:

Where a & b and d & e are relatively prime number.

If a ≠ d or b ≠ e then the system of equations has one solution.

Example:

Add both sides of equations:

    divide both sides by 5

Substitute it to the second equation:

          subtract 3 from both sides

      divide both sides by 3

If a = d and b = e and c = f then the system of equations has infinitely many solutions.

Example:

Change the signs in the second equation. Next add both sides of equations:

If  a = d and b = e and c ≠ f then the system of equations has no solution.

Example:

Change the signs in the second equation. Next add both sides of equations:

question 1 is 8, question 2 is 9, question 3 is 24

step-by-step explanation:

now, the numbers they give you at the top are the key. from there, you just have to plug and chug! let's try 1, 2, and 3!

key: a=3, b=5, c=6

1. a+5

remember, a=3, so we plug that in to get 3+5=8

2. 15-c

c=6, so we plug that in to get 15-6=9

3. 4b

b=6, so we plug it in to get 4*6=24

time to try the rest on your own! if you put the answers below in a comment, i'll check them for you!

54 km / hours

step-by-step explanation:

we need to convert seconds to hours

60 seconds = 1 minutes

60 minutes = 1hour

15 m         60 second   60 minutes

  * *         = 54000 meters/ hour

second     1 minute             1 hour

now we need to convert meters to km

1000 m = 1 km

54000 m       1 km

*   = 54 km / hours

hour               1000m