Determine which system below will produce infinitely many solutions.

2x + 5y = 24
2x + 5y = 42
3x − 2y = 15
6x + 5y = 11
4x − 3y = 9
−8x + 6y = −18
5x − 3y = 16
−2x + 3y = −7

Question

Determine which system below will produce infinitely many solutions.

 2x + 5y = 24
2x + 5y = 42
 3x − 2y = 15
6x + 5y = 11
 4x − 3y = 9
−8x + 6y = −18
 5x − 3y = 16
−2x + 3y = −7

mathmale · Answer

Which set of two equations is composed of two equations that differ from one another only by a factor?

aaronmcekron · Answer

2x+5y=24       2x+5y=42

mathmale · Answer

Do those two really differ from one another by a factor applied to all of the terms of one of the equations?

aaronmcekron · Answer

no

mathmale · Answer

There is one set of two equations, one of which is a multiple of every term of the other.
If this wording is clear to you, see if you can find that pair of equations.