SOLUTION: x+7y=4 (1) x=8-7y (2) What is the solution of the system?

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Question 146773: x+7y=4 (1)
x=8-7y (2)
What is the solution of the system?

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.


Combine like terms on the left side


Subtract 8 from both sides


Combine like terms on the right side


Since this equation is never true for any y value, this means there are no solutions.


Notice if we graph the two equations, we can see that the two lines are parallel and will never intersect. So this verifies our answer.


Graph of (red) and (green)

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