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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