SOLUTION: I need help Solving the following equation set by substitution: 3x – y = 5 -6x + 2y = 1 Here's my try: -3x=6 /-3 /-3 x=-2? Not sure what t

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Question 202098: I need help Solving the following equation set by substitution:
3x – y = 5
-6x + 2y = 1
Here's my try: -3x=6
/-3 /-3
x=-2?
Not sure what to do on this.

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!

Start with the given system of equations:





Start with the first equation.


Subtract from both sides.


Divide both sides by to isolate .


Rearrange the terms and simplify.


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


Now plug in into the second equation.


Distribute.


Combine like terms on the left side.


Add to both sides.


Combine like terms on the right side.


Simplify.


Since this equation is NEVER true for any "x" value, this means that there are no solutions.


So the system is inconsistent.

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