SOLUTION: Solve the following system by graphing: 3x-6y=9 x-2y=3 Equation 1 in slope intercept form: y-intercept as an ordered pair => x-intercept as an ordered pair =>

Question 124951: Solve the following system by graphing:
3x-6y=9
x-2y=3
Equation 1 in slope intercept form:

y-intercept as an ordered pair =>
x-intercept as an ordered pair =>
Equation 2 in slope intercept form:

y-intercept as an ordered pair =>
x-intercept as an ordered pair =>

Graph of the system:

What is the solution for this system?

What type of system is this?
dependant
i need all the help i can get

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.
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