Question 863118: What would 2x + 3y = 6;x + y = 4 look like on a graph? Also explain how to do it, if possible! Thanks.
Found 2 solutions by Alan3354, jim_thompson5910:
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! What would 2x + 3y = 6;x + y = 4 look like on a graph? Also explain how to do it, if possible!
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They're 2 straight lines.
How to do what?
Answer by jim_thompson5910(35256)  (Show Source):
You can put this solution on YOUR website! To graph 2x + 3y = 6, you need 2 points (since this is a straight line).
Zero is usually a good goto number to work with since it greatly simplifies things, so I often plug 0 in for the variables and solve for the remaining variable. This will help you find the intercepts.
So when x = 0, then 2x + 3y = 6 ---> 2(0)+3y = 6 ----> 3y = 6 ----> y = 2
That means the y intercept is (0,2)
Similarly, when y = 0, then 2x + 3(0) = 6 leading to 2x = 6 giving us x = 3
The x-intercept is (3,0)
Once you have the two intercepts (0,2) and (3,0), you plot them on the same coordinate axis. Then connect the two points.
All of these steps are for graphing 2x + 3y = 6. You will need to repeat these steps over for x+y = 4
Plotting both 2x + 3y = 6 and x+y = 4 on the same coordinate axis will help you see where they intersect/cross (if they do at all) which will lead to the solution to the system of equations.
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