SOLUTION: 5x-2y=37
3x+4y=9
It is all one problem setup like above.We have tried to add them together and tried to figure out x and y separately. This is my student's problem and I thought
Algebra.Com
Question 175132: 5x-2y=37
3x+4y=9
It is all one problem setup like above.We have tried to add them together and tried to figure out x and y separately. This is my student's problem and I thought I would see how it is done step by step and then we can work on the rest of his assigned problems.
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. Notice how the y terms cancel out.
Simplify.
Divide both sides by to isolate .
------------------------------------------------------------------
Now go back to the first equation.
Plug in .
Multiply.
Multiply both sides by the LCD to clear any fractions.
Distribute and multiply.
Subtract from both sides.
Combine like terms on the right side.
Divide both sides by to isolate .
Reduce.
========================================================
Answer:
So the solutions are and
which forms the ordered pair )
RELATED QUESTIONS
I have to solve this problem by the addition method. I do have a book but this problem is (answered by Construe)
We have tried and tried to find the answer, but can't seem to figure out when to use the... (answered by stanbon)
This is the problem I'm having trouble with:
"Find the value of each variable and the... (answered by Theo)
I cannot see the topics, sorry.
In my problem you have to use A=pi r^2.
Find the area... (answered by rfer)
I have many problems like this one but some are linear,quadratic,cubic,
well the 1st... (answered by vleith)
I have tried this over and over and can't figure out what I did wrong. I know that it is (answered by prabhjyot)
3(2y-7≥4(3y+4)
this one is way different than the examples, so I am stumped I... (answered by Fombitz,sofiyac)
HI.. Me and my friend have been all afternoon trying to figure this problem out. We get... (answered by Tatiana_Stebko)
What is the vertex of f(x)=3x^2-12x+11? I have tried to follow the example in the text... (answered by scott8148)