SOLUTION: Solve the system by graphing; plotting on the graph 3x-5y=-9 5x-6y=-8 and 4x+5y=-2 4y-x=11

Question 175918: Solve the system by graphing; plotting on the graph
3x-5y=-9
5x-6y=-8
and
4x+5y=-2
4y-x=11
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
I'll do the first one to get you started

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.

Divide both sides by to isolate .

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.

Subtract from both sides.

Divide both sides by to isolate .

Rearrange the terms and simplify.

Now let's graph the equation:

Graph of .

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

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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