SOLUTION: 4x+5y=5 8x+10y=10 solve using the elimination method

Question 378720: 4x+5y=5
8x+10y=10
solve using the elimination method
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 system is consistent and dependent.

If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim

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