SOLUTION: I am very confused with Algebra as a whole If someone can please help me using the substitution method with each step I would greatly appreciate it. 6x-2y=12 2x+2y=8

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Question 481988: I am very confused with Algebra as a whole If someone can please help me using the substitution method with each step I would greatly appreciate it. 6x-2y=12 2x+2y=8
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!


Start with the given system of equations:





Now in order to solve this system by using substitution, we need to solve (or isolate) one variable. I'm going to solve for y.




So let's isolate y in the second equation

Start with the second equation


Subtract from both sides


Rearrange the equation


Divide both sides by


Break up the fraction


Reduce



---------------------

Since , we can now replace each in the first equation with to solve for



Plug in into the first equation. In other words, replace each with . Notice we've eliminated the variables. So we now have a simple equation with one unknown.



Distribute to


Multiply


Combine like terms on the left side


Add 8 to both sides


Combine like terms on the right side


Divide both sides by 8 to isolate x



Reduce





-----------------First Answer------------------------------


So the first part of our answer is:









Since we know that we can plug it into the equation (remember we previously solved for in the second equation).



Start with the equation where was previously isolated.


Plug in


Combine like terms (note: if you need help with fractions, check out this solver)



-----------------Second Answer------------------------------


So the second part of our answer is:









-----------------Summary------------------------------

So our answers are:

and

which form the point

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