SOLUTION: Solve the system by graphing. 3x + y = �1 9x + 3y = �3

Question 126106:
Solve the system by graphing.
3x + y = �1 9x + 3y = �3

Found 2 solutions by jim_thompson5910, checkley71:
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.
Answer by checkley71(8403) (Show Source): You can put this solution on YOUR website!
3X+Y=-1 OR Y=-3X-1 (RED LINE)
9X+3Y=-3 OR 3Y=-9X-3 (GREEN LINE)
(graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions -3x -1 and -9x -3).
ANSWER (-1/3,0)
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