SOLUTION: Please help me identify the system as consistent or inconsistent, and dependent or independent. 3x=y+3 6x-2y=3

Question 225492: Please help me identify the system as consistent or inconsistent, and dependent or independent.
3x=y+3
6x-2y=3
Answer by drj(1380) (Show Source): You can put this solution on YOUR website!
Please help me identify the system as consistent or inconsistent, and dependent or independent.

3x=y+3 Equation 1
6x-2y=3 Equation 2

Step 1. Equation 1 in slope-intercept form is y=3x-3. It has a slope m=3.

Step 2. We can put Equation 2 in slope-intercept form as follows:

Subtract 6x from both sides of the equation

Divide by -2 to both sides of the equation

So this equation has a slope m=3. Since the equations of lines have the same slope they are in parallel and cannot intersect.

Step 3. The equations are inconsistent since they have the same slope and they are also independent (one equation is not a multiple of another).

I hope the above steps and explanation 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.

And good luck in your studies!

Respectfully,
Dr J
http://www.FreedomUniversity.TV

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