SOLUTION: solve by the elimination method 2x=3y=1 4x+6y=2 what is the solution of the system

Question 146585: solve by the elimination method
2x=3y=1
4x+6y=2
what is the solution of the system
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.

Simplify.

Since is always true, this means that there are an infinite number of solutions. So the two equations are consistent and dependent.

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