SOLUTION: Given the system of equations {{{system(x-4y=-12,y=-4+2x)}}} Solve the system of equations using the substitution method.

Question 172785: Given the system of equations

Solve the system of equations using the substitution method.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

As the name implies, substitution simply involves you "substituting" one variable in for another so that you can solve for that variable.

Let's solve the given system by substitution

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

Subtract 16 from both sides

Combine like terms on the right side

Divide both sides by -7 to isolate x

Divide

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

Substitute for each

Simplify

So our answer is and which forms the ordered pair

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