SOLUTION: How do I graph and determine the solution set of: x=7-2y y=3x What i tried to do was set them to zero, but I didn't know what else to do..please help!

Question 577267: How do I graph and determine the solution set of:
x=7-2y
y=3x
What i tried to do was set them to zero, but I didn't know what else to do..please help!
Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
How do I graph and determine the solution set of:
x=7-2y
Solve for "y":
2y = -x+7
y = (-1/2)x+(7/2)
Plot 2 points:
If x = 2, y = -1+(7/2) = 2 1/2
If x = 0, y = (7/2) = 3 1/2
---
Plot (2,2 1/2) and (0, 3 1/2) and draw a line thru them.
=================
y=3x
If x = 0, y = 0
If x = 1, y = 3
=================
Plot (0,0) and (1,3) and draw a line thru them.
----
Find the point of intersection of the 2 lines.
That is the solution of the set of 2 solutions.
===============

===============
Cheers,
Stan H.

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
These are 2 straight lines and the solution
is their intersection. Since 2 straight lines
can only intersect at 1 point, there is only
1 solution.
------------
Get both lines into the standard form:
(1)
(1)
and
(2)
(2)
----------------
Now multiply both sides of (2) by ,
and add the equations
(1)
(2)

Now plug this value back into either (1) or (2)
(2)
(2)
(2)
The solution is (1,3)
Here's a plot of the lines:

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