SOLUTION: Solve each of the following systems by graphing. 3. 3x � 6y = 9 X � 2y = 3

Question 123347: Solve each of the following systems by graphing.

3. 3x � 6y = 9
X � 2y = 3

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

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 3x-6y=9... (answered by venugopalramana)

question: solve each of the following systems by graphing 3x-6y=9... (answered by Earlsdon)

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)

Solve each of the following systems by graphing 3x � 6y = 9 and x � 2y =... (answered by checkley75)

Solve each of the following systems by graphing 3x-6y=9... (answered by elima)

Solve each of the following systems by graphing. 3x-6y=9... (answered by HyperBrain)

Solve each of the following systems by graphing: x - 2y = 8 3x - 2y = 12 and 3x (answered by checkley71)

Solve the following systems by graphing 3x - 6y = 9 x - 2y = 3 (answered by ankor@dixie-net.com)