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

Algebra ->  Equations -> 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       Log On


   

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) About Me  (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:
system%282x%2B4y=8%2Cx%2B2y=8%29

system%28%281%2F2%29%282x%2B4y%29=%281%2F2%298%2Cx%2B2y=8%29

system%28x%2B2y=4%2Cx%2B2y=8%29

system%28y=-x%2F2%2B2%2Cy=-x%2F2%2B4%29---------both slopes -1%2F2 but different set of points, so parallel lines. NO SOLUTION.


Item B:
System equivalent to the single equation x%2B2y=4.
Just the equation of a line.
Infinitely many solutions, all fit on the line.