SOLUTION: do the following systems of equations have one solution, no solution, or infinite solutions? 2y-6x=16 -3x+y=8

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Question 730784: do the following systems of equations have one solution, no solution, or infinite solutions?
2y-6x=16
-3x+y=8
Found 4 solutions by lynnlo, ikleyn, josgarithmetic, timofer:
Answer by lynnlo(4176)   (Show Source): You can put this solution on YOUR website!
one solution
y=3x+8
Answer by ikleyn(53317)   (Show Source): You can put this solution on YOUR website!
do the following systems of equations have one solution, no solution, or infinite solutions?
2y-6x=16
-3x+y=8
~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 


Both given equations are equivalent to this one

    y = 3x + 8.


Therefore, the given system of equations has infinitely many solutions.


You can take any value of 'x' and calculate the corresponding value of 'y'.
Then the pair (x,y) will be one of infinitely many possible solutions.

Solved and explained.

-----------------------

The solution in the post by @lynnlo is incorrect.
So and therefore, simply ignore his post.



Answer by josgarithmetic(39670)   (Show Source): You can put this solution on YOUR website!
What is slope of each? Tell you something?
Answer by timofer(127)   (Show Source): You can put this solution on YOUR website!
Same two variables in each equation. Two dimensional.




This is the same equation, in two variables, written twice.
Infinite solutions.
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