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

Algebra ->  Systems-of-equations -> 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      Log On


   

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) About Me  (Show Source):
You can put this solution on YOUR website!

Start with the given system of equations:


system%283x+-+y+=+5%2C-6x+%2B+2y+=+1%29


3x+-+y+=+5 Start with the first equation.


-y=5-3x Subtract 3x from both sides.


y=%285-3x%29%2F%28-1%29 Divide both sides by -1 to isolate y.


y=3x-5 Rearrange the terms and simplify.


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


-6x+%2B+2%283x-5%29+=+1 Now plug in y=3x-5 into the second equation.


-6x%2B6x-10=1 Distribute.


0x-10=1 Combine like terms on the left side.


0x=1%2B10 Add 10 to both sides.


0x=11 Combine like terms on the right side.


0=11 Simplify.


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


So the system is inconsistent.