SOLUTION: Solve by using the elimination method: 4x + 5y = 3 8x + 10y = 6 What is the solution of the system?

Question 190638: Solve by using the elimination method:
4x + 5y = 3
8x + 10y = 6
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 system is consistent and dependent.

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