SOLUTION: please help me solve this problem use the substitution method to solve the linear system here is the promblem Y=x-4 3x-y=-8 what do you do frist

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Question 120666: please help me solve this problem


use the substitution method to solve the linear system
here is the promblem

Y=x-4
3x-y=-8
what do you do frist

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 the negative


Combine like terms on the left side


Subtract 4 from both sides


Combine like terms on the right side


Divide both sides by 2 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 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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