SOLUTION: Solve the system of equations using the addution (elimination) method. If the answer is a unique solution, present it as an ordered pair: (x,y). If not, specify whether the answe
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Question 180713: Solve the system of equations using the addution (elimination) method. If the answer is a unique solution, present it as an ordered pair: (x,y). If not, specify whether the answer is "no solution" or "infinitely many solutions" and state how you arrived at that conclusion.
3x - 11y = 9
-9x + 33y = -27
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 3.
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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