SOLUTION: how many solutions does this system of equations have??? 2x+3y=6 y=-2/3x-1 it woudd be amazing if you could answer soon!

Question 569598: how many solutions does this system of equations have???
2x+3y=6
y=-2/3x-1
it woudd be amazing if you could answer soon!
Found 2 solutions by Alan3354, TutorDelphia:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
2x+3y=6 --> y = (-2/3)x + 2
y=-2/3x-1
----------------
The 2 lines are parallel if you graph them.
No intersection, no solution.
Answer by TutorDelphia(193) (Show Source): You can put this solution on YOUR website!
This has no solutions:
y=(-2/3)x-1 is already in slope intercept form
2x+3y=6
subtract 2x from both sides
3y=-2x+6
divide all by 3
y=(-2/3)x+2
Since these have the same slope but a different intercept they are parallel lines.

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