SOLUTION: This one is really confusing me, I need some help. Solve the following system by substitution. 4x

SOLUTION: This one is really confusing me, I need some help. Solve the following system by substitution. 4x - 2y = 8 2x + 4y =8

Question 143378: This one is really confusing me, I need some help.
Solve the following system by substitution.

4x - 2y = 8
2x + 4y =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 first equation

Start with the first 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 second 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 16 to both sides

Combine like terms on the right side

Divide both sides by 10 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 first equation).

Start with the equation where was previously isolated.

Plug in

Multiply

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

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