Question

Quick help gets medal!

How many solutions are there to the following system of equations?

2x + 5y = –11
10x + 25y = –55

A.
2

B.
1

C.
infinitely many

D.
0

Answer 1

You should solve the system of equation and check how many solutions it has. Do you know how to do it?

Answer 2

NO help please

Answer 3

NO, do it yourself.

Answer 4

@Hero

Answer 5

When you divide the second equation by 5, you get

2x + 5y = -11

Which is the same as the first equation. Do you know what that means?

Answer 6

sorry caps was on @Kamille

Answer 7

They're equal

Answer 8

So if both equations are equal, how many solutions are there?

Answer 9

1

Answer 10

?

Answer 11

I don't want you to guess. Please try out different values. Try (1, 2) and (2,1) and see what happens.

Answer 12

I don't get it?

Answer 13

So im supossed to try more numbers?

Answer 14

I'm only going to tell you this once....don't forget it...

If both equations are the same, then there are infinite solutions. Never forget this.

Answer 15

ok thanks ill never forget.

Answer 16

When in doubt, try graphing both lines.

Answer 17

Ok but I have one question?

Answer 18

how did you get the 5 to divide the 2nd equation.

Answer 19

Basically, the first thing I do before anything anything else is to see if I can reduce either equation by factoring. Notice that 5 factors out of the second equation since the coefficient of each term is divisible by 5:

10x + 25y = –55

5(2x + 5y) =5(-11)

Then after dividing both sides by 5 you get:
2x + 5y = -11