SOLUTION: -x+2y=-2 3x=6y+6

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Question 1051839: -x+2y=-2
3x=6y+6
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
-x+2y=-2
3x=6y+6

system%28-x%2B2y=-2%2C3x=6y%2B6%29

Put both into standard form.
system%28-x%2B2y=-2%2C3x-6y=6%29

Simplify if possible.
system%28-x%2B2y=-2%2Cx-2y=2%29

Good idea may be to multiply either equation entirely by -1 to make coefficients to have the same sign for corresponding parts.
Try doing this to the first equation of this simplified system:
system%28x-2y=2%2Cx-2y=2%29
But what do you notice?
.
.


NO SOLUTION.
WHY? Equal slopes. Equal constants. Lines are the same.
More correctly stated, the two equations are equivalent and represent the same line.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
-x+2y=-2
3x=6y+6
- x + 2y = - 2 -------- eq (i)

3x = 6y + 6______3x - 6y = 6 -------- eq (ii)

Multiply eq (i) by - 3, and you'll notice that it's the same as eq (ii). This means that the lines are the same. 

Thus, this is a CONSISTENT/DEPENDENT SYSTEM, and so, there is an INFINITE number of solutions.