SOLUTION: This is the problem. y=x-1 4x-y=19 This is what I tried. 4x-x-1=19 3x-1=19 3x=20 x=6 and 2/3 Thank you very much!

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Question 113282: This is the problem.
y=x-1
4x-y=19
This is what I tried.

4x-x-1=19
3x-1=19
3x=20
x=6 and 2/3
Thank you very much!

Found 2 solutions by jim_thompson5910, solver91311:
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 1 from both sides


Combine like terms on the right side


Divide both sides by 3 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

Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!
You have one little 'oops' right here. It should be
That makes this look like:
So
x=6 and 2/3, So

You also need to substitute your newly found value for x back into one of the original equations to solve for y.




So the point of intersection of the two lines is (6,5)

Hope this helps,
John

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