SOLUTION: Hi I am having a problem solving this any help would be appreciated thank you in advance. I have to find the solution to the system of equations by the substitution method. this

Question 144944This question is from textbook Toby Slater beginning Algebra
: Hi I am having a problem solving this any help would be appreciated thank you in advance.
I have to find the solution to the system of equations by the substitution method.
this is my problem:
#2 x=4- 4y
-x +2y = 2 This question is from textbook Toby Slater beginning Algebra

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given system

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

Combine like terms on the left side

Add 4 to both sides

Combine like terms on the right side

Divide both sides by 6 to isolate y

Divide

Now that we know that , we can plug this into to find

Substitute for each

Simplify

So our answer is and which also looks like

Notice if we graph the two equations, we can see that their intersection is at

. So this verifies our answer.

Graph of (red) and (green)

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