SOLUTION: solve the system of equations by graphing, then classify as consistent, or inconsistent and as dependent or independent. 5x-6y=-24 6y-5x=24 What is the solution of the sys

Question 420707: solve the system of equations by graphing, then classify as consistent, or inconsistent and as dependent or independent.
5x-6y=-24
6y-5x=24
What is the solution of the system of equations.
a. infinitely many solutions
b. no solution
c. a point
Is it consistent or inconsistent?
are the equations dependent or independent?
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

Solved by pluggable solver: Solve the System of Equations by Graphing

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 intersect at the point (,) (note: you might have to adjust the window to see the intersection)

What is the solution of the system of equations.
answer: . a .........a point is a "solution" to the system when it
makes BOTH equations true
Is it consistent or inconsistent?
a consistent system has at least one solution; it is
are the equations dependent or independent?
if dependent, graphically, this means that
one line is lying entirely on top of the other one; so they are not dependent

a system is "independent," it means that lines are not lying on
top of each other, there is EXACTLY ONE solution, and it is the point
of intersection of the two lines; so, your system is

RELATED QUESTIONS
Solve the system of equations by graphing. Then classify the system as consistent or... (answered by oscargut)

Solve the systems of equations by graphing. Then classify the system as consistent or... (answered by jim_thompson5910)

solve the system of equations by graphing. then classify the system as consistent or... (answered by Alan3354)

Solve the system of equations by graphing. Then classify the system as consistent or... (answered by jim_thompson5910)

solve the system of equations by graphing. Then classify the system as consistent or... (answered by Alan3354)

Solve the system of equations by graphing. Then classify the system as consistent or... (answered by stanbon)

Solve the system of equations by graphing. Then classify the system as consistent or... (answered by Gogonati)

Solve the systems of equations by graphing. Then classify the system as consistent or... (answered by jim_thompson5910)

Solve the systems of equations by graphing. Then classify the system as consistent or... (answered by Fombitz)