SOLUTION: x+6y>7 y>3x

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Question 218312: x+6y>7
y>3x
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
x+6y>7
y>3x

Step 1. Graph each equation in the rectangular coordinate system. Where they overlap between the two graphs is the solution.

Step 2. Let's graph x+6y>7. Then in slope-intercept form is y%3E-x%2F6%2B7%2F6

Solved by pluggable solver: Plot Any Inequality
Graphing function y%3E-x%2F6%2B7%2F6:

graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+y%3E-x%2F6%2B7%2F6+%29



Step 3. Let's graph y>3x

Solved by pluggable solver: Plot Any Inequality
Graphing function y%3E3x:

graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+y%3E3x+%29



Step 4. ANSWER: The net result is where the shaded regions between the two graphs overlap. In this example, it's a region in the first and second quadrant.

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.

And good luck in your studies!

Respectfully,
Dr J