SOLUTION: How many solutions are in the equation: (-2x+y=1, -4x+2y=-8)

Question 152569: How many solutions are in the equation: (-2x+y=1, -4x+2y=-8)
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given system of equations:

Multiply the both sides of the first equation by -2.

Distribute and multiply.

So we have the new system of equations:

Now add the equations together. You can do this by simply adding the two left sides and the two right sides separately like this:

Group like terms.

Combine like terms. Notice how the x terms cancel out.

Simplify.

Since is never true, this means that there are no solutions. So the system is inconsistent.

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