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

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 Click here to see ALL problems on Linear-systems Question 172785: Given the system of equations Solve the system of equations using the substitution method.Answer by jim_thompson5910(28476)   (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