SOLUTION: f(x) = 2x � 8 g(x) = ? How else can you describe the two lines in this inconsistent system?

Question 473823: f(x) = 2x � 8
g(x) = ?
How else can you describe the two lines in this inconsistent system?
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!

you can write it as a system like this:

in standard form:

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

Add to 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

Add to 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 parallel and will never intersect. So there are no solutions and the system is inconsistent.

RELATED QUESTIONS
Type an equation for g(x) that results with f(x), in an inconsistent system: f(x)=8x-1... (answered by Fombitz)

Suppose that f(x) = 3x � 7 and g(x) = 2x + 1. Describe two methods you can use to... (answered by josgarithmetic)

How can I describe the transformations from the graph of f to the graph of g... (answered by stanbon)

This is coming from the University of Houston online textbook, section 3.6 #39, if that... (answered by stanbon)

How do you solve this? f(x)=x+1 and g(x)=2x f(g(x))= ? (answered by funmath)

f(x)=2x-7 g(x)=x+4/3 This is the equation how do I solve?... (answered by Bb)

How do you graph the following system of equations. Describe both lines and the final... (answered by Mathtut)