SOLUTION: 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 supp

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): You can put this solution on YOUR website!
7x+y=7
y=2x-2
-------------
7x+2x-2=7
9x=9
x=1
------------
y=2x-2
y=2(1)-2
y=0
------------
intercept = (1,0)
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.
---
You certainly could use a graphing calculator if your instructor allows it.
You could also use it just to check your work.
--------
When finding plots, is it best to always start with zero as I notice most equations have?
---
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.
--------------
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)
---
If x = -2 you get y = 2*-2-2 = -6 giving you point (-2,-6)
---
Plot those two points and draw a line thru them to see the graph

===============================================
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

----
Put both graphes on the same coordinate system and try to determine
the point of intersection.
---

I get an answer of (1,0)
===============================
Cheers,
Stan H.

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