SOLUTION: How can we get that this equation has infinitely many solutions? A:- 2x+4y=8 & x+2y=-4 B:- 2x+4y=8 & x+2y=4 C:- 2x+4y=8 & 2x+4y=6 D:- 2x+4y=8 & x+2y=8

Question 1071810: How can we get that this equation has infinitely many solutions?
A:- 2x+4y=8 & x+2y=-4
B:- 2x+4y=8 & x+2y=4
C:- 2x+4y=8 & 2x+4y=6
D:- 2x+4y=8 & x+2y=8

Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Four different questions?

A:- 2x+4y=8 & x+2y=-4
B:- 2x+4y=8 & x+2y=4
C:- 2x+4y=8 & 2x+4y=6
D:- 2x+4y=8 & x+2y=8

Assuming the first dash in each is not used as a negative sign,

Item D:

---------both slopes but different set of points, so parallel lines. NO SOLUTION.

Item B:
System equivalent to the single equation .
Just the equation of a line.
Infinitely many solutions, all fit on the line.
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