SOLUTION: Does this system of equations have one solution, no solutions, or an infinite number of solutions? 3x + y = 9 6x = 4 - 2y

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Does this system of equations have one solution, no solutions, or an infinite number of solutions? 3x + y = 9 6x = 4 - 2y       Log On


   

Question 417680: Does this system of equations have one solution, no solutions, or an infinite number of solutions?
3x + y = 9
6x = 4 - 2y



Answer by dnanos(83) About Me  (Show Source):
You can put this solution on YOUR website!
The system has no solutions.
This is because it consists of two equations that their graphs represent parallel lines.So they have not a common point.
3x+y=9
6x+2y=4
We divide the second equation by 2
6x/2+2x/2=4/2
Simplify
3x+y=2
There is no pair of numbers (x,y) that makes these two equations
3x+y=9
3x+y=2
to come true in common.
So we obtain no solution.
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