SOLUTION: how to solve linear systems algebraically problem: 6x-y=-2 -18x+3y=4

Question 213899This question is from textbook algebra 2
: how to solve linear systems algebraically
problem: 6x-y=-2
-18x+3y=4 This question is from textbook algebra 2

Answer by drj(1380) (Show Source): You can put this solution on YOUR website!
or

Step 1. Let's rewrite the second equation where we can again rearrange by adding 18x to both sides of the equation to yield

or dividing by 3 to both sides of the equation, we have

Step 2. Now compare the following equivalent system of equations

The above equations are in slope intercept form where m=6 for both equations.

Step 3. ANSWER: When the equations of lines have the same slope there is NO SOLUTION since they cannot intersect at a point.

I hope the above steps were helpful.

For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

And good luck in your studies!

Respectfully,
Dr J

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