SOLUTION: I need help to solve please The directions state to determine whether the system has one slutions, no solution or infinitely many solutions may you please help y = -x + 2

Question 59763This question is from textbook Alegbra concepts and applications
: I need help to solve please
The directions state to determine whether the system has one slutions, no solution or infinitely many solutions may you please help
y = -x + 2
3x + 3y = 6
This question is from textbook Alegbra concepts and applications

Answer by funmath(2933) (Show Source): You can put this solution on YOUR website!

The directions state to determine whether the system has one slutions, no solution or infinitely many solutions may you please help
y = -x + 2
3x + 3y = 6
The easiest way to determine this is to put both equations into slope intercept form. , where m=slope, and b is the y-intercept. If their slope (m) is different(even after you reduce) then there is one solution. The their slope (m) is the same and their y-intercept (b) is different, the lines are parallel and will never intercect, so there is no solution. If their slopes (m) are the same and the y-intercept (b)is the same they are graphically lying right on top of each other, they share all points and they have infinitely many solutions.
y=-x+2 is already in slope intercept form, m=-1 and b=2
3x+3y=6
-3x+3x+3y=-3x+6
3y=-3x+6
3y/3=-3x/3+6/3
y=-x+2 -->m=-1 and b=2
There are infinitely many solutions.
Happy Calculating!!!
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