## Rachel98 2 years ago I'm not getting this whole special system of equations thing. Please help me understand Question: Which system has an infinite number of solutions? A: y = 2x - 5 and - 2 = y - 2x. B: x + 2 = y and 4 = 2y - x. C: y + 3 = 2x and 4x = 2y - x. D: 2y + 6 = 4x and - 3 = y - 2x.

1. Hero

If one equation is a multiple of the other equation, then both equations are the same, thus having infinite solutions.

2. Rachel98

What do you mean by multiple?

3. Hero

What I mean is, there exists a set of equations such that one of them has been multiplied by a number to disguise the fact that both of them are equal.

4. Hero

Also, terms have been switched around to disguise it even further.

5. Hero

For example, I can take y = 2x + 3 If I multiply that by 3 I get 3y = 6x + 9

6. Hero

I can switch terms around to get -9 = 6x - 3y

7. Hero

But no matter how much I manipulate this equation, each line is equivalent to the previous one.

8. Hero

So find the system where such a condition exists.