SOLUTION: graph each equation to find the solution x-2y=4 x=2y

Question 230203: graph each equation to find the solution
x-2y=4
x=2y

Answer by drj(1380) (Show Source): You can put this solution on YOUR website!
graph each equation to find the solution
x-2y=4
x=2y

Step 1. To plot the line you need two point:

Step 2. Let's start with x-2y=4.

Let x=0, then 0-2y=4 and y=-2. So one point is (0,2)

Let y=0, then x-2*0=4 or x=4. So the other points (-2,4).

We will use these points to graph the line.

Step 3. Let's now work with x=2y.

Let x=0, then 2*0=y or y=0. So one point is (0,0)

Let x=1, then 2*1=y or y=2. So another point is (1,2)

We will use these points to graph the line.

Step 4. The graphs are shown below:

We note that the lines are parallel and have the same slope. The two equations are given in slope-intercept form where y=mx+b where m is the slope and b is the y-intercept when x=0 or at point (0,b) are shown below

For this example we see both lines have a slope and different y-intercepts. One line has a y-intercept of -2 and the other line has a y-intercept of 0.

Step 5. ANSWER: Since the lines are parallel and do not intersect, there are NO SOLUTIONS to this problem.

I hope the above steps were helpful.

For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

Good luck in your studies!

Respectfully,
Dr J

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