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SOLUTION: Solve by using the elimination method: 4x + 5y = 3 8x + 10y = 6 What is the solution of the system?
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Algebra: Expressions involving variables, substitution
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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(33401)
(
Show Source
):
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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.