SOLUTION: 3x+y=5 -2x+3y=4 Solve by graphing

Question 149238: 3x+y=5
-2x+3y=4
Solve by graphing
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 must solve for y first.

Let's graph the first equation:

Start with the first equation.

Subtract from both sides.

Rearrange the terms and simplify.

Now let's graph the equation:

Graph of .

-------------------------------------------------------------------

Now let's graph the second equation:

Start with the second equation.

Add to both sides.

Divide both sides by to isolate .

Rearrange the terms and simplify.

Now let's graph the equation:

Graph of .

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Now let's graph the two equations together:

Graph of (red). Graph of (green)

From the graph, we can see that the two lines intersect at the point

. So the solution to the system of equations is

. This tells us that the system of equations is consistent and independent.

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