SOLUTION: Solve the following systems by graphing. How do I graph the equation? For example: 3x-6y= 9 x-2y= 3 Do I graph the these numbers from the equations 6y and 9, 2y and 3? Or do

Algebra.Com
Question 118852: Solve the following systems by graphing.
How do I graph the equation? For example:
3x-6y= 9
x-2y= 3
Do I graph the these numbers from the equations 6y and 9, 2y and 3? Or do I work out the equations and graph the numbers from the answer to the equations?
Thank you for your assistance.
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Solved by pluggable solver: Solve the System of Equations by Graphing



Start with the given system of equations:










In order to graph these equations, we need to solve for y for each equation.




So let's solve for y on the first equation


Start with the given equation



Subtract from both sides



Rearrange the equation



Divide both sides by



Break up the fraction



Reduce



Now lets graph (note: if you need help with graphing, check out this solver)



Graph of




So let's solve for y on the second equation


Start with the given equation



Subtract from both sides



Rearrange the equation



Divide both sides by



Break up the fraction



Reduce





Now lets add the graph of to our first plot to get:


Graph of (red) and (green)


From the graph, we can see that the two lines are identical (one lies perfectly on top of the other) and intersect at all points of both lines. So there are an infinite number of solutions and the system is dependent.
RELATED QUESTIONS

solve each of the following systems by graphing, show graphs please. 1)2x-y=4 I know... (answered by checkley71)
Solve each of the following systems by graphing. 3x - 6y = 9 x - 2y = 3 Again there (answered by checkley75)
Solve the following systems by graphing. 3x-6y=9 x-2y=3 -1(3x-6y)=9(-1)... (answered by checkley71)
Solve each of the following systems by graphing. 3. 3x – 6y = 9 X – 2y = 3 (answered by jim_thompson5910)
solve each of the following systems by graphing 3x-6y=9... (answered by venugopalramana)
question: solve each of the following systems by graphing 3x-6y=9... (answered by Earlsdon)
Solve the following systems by graphing 3x - 6y = 9 x - 2y = 3 (answered by ankor@dixie-net.com)
Solve each of the following systems by graphing. 3x-6y=9 x-2y=3 (answered by jim_thompson5910,checkley75)
Solve each of the following systems by graphing 3x - 6y = 9 x - 2y =... (answered by tutorcecilia)