Question 246129:  I'm having trouble with this equation?
 
Y=2x-2 
7x+y=7
 
I have to find the plots and graph, then find the point at which they intercept, if they do? 
I'm new at this. Am I supposed to be using a graphing calculator to solve as I don't know how to use it.  
When finding plots, is it best to always start with zero as I notice most equations have?
 
Thank you! 
 
 Found 2 solutions by  rfer, stanbon: Answer by rfer(16322)      (Show Source):  Answer by stanbon(75887)      (Show Source): 
You can  put this solution on YOUR website! I'm having trouble with this equation?  
Y=2x-2 
7x+y=7  
I have to find the plots and graph, then find the point at which they intercept, if they do? 
I'm new at this. Am I supposed to be using a graphing calculator to solve as I don't know how to use it.  
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You certainly could use a graphing calculator if your instructor allows it. 
You could also use it just to check your work. 
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When finding plots, is it best to always start with zero as I notice most equations have? 
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It is frequetly easy to let x=0 but it is not necessary.  x is an independent 
variable so you may use any value you wish to use; y will then be determined 
using the Rule for your function. 
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Your Problem: 
Y=2x-2 
7x+y=7  
I have to find the plots and graph, then find the point at which they intercept, if they do? 
------------------------- 
Graph y = 2x-2 
If x = 4 you get y=2*4-2 = 6 giving you point (4,6) 
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If x = -2 you get y = 2*-2-2 = -6 giving you point (-2,-6) 
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Plot those two points and draw a line thru them to see the graph 
  
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Solve the 2nd equation for "y": 
y = -7x+7 
Graph it: 
If x = 0, y = 7 giving you point (0,7) 
If x = 1, y = 0 giving you point (1,0) 
Plot those two points and draw a line thru them to see the graph 
  
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Put both graphes on the same coordinate system and try to determine 
the point of intersection. 
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I get an answer of (1,0) 
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Cheers, 
Stan H.  
 
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