document.write( "Question 72789: How do you graph 6y+x Greater than or equal to a number...I just use that problem if you have to use another peoblem.. PLEASE HELP ME. in any way you can. \n" ); document.write( "
Algebra.Com's Answer #52065 by ankor@dixie-net.com(22740)\"\" \"About 
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How do you graph 6y+x Greater than or equal to a number...I just use that problem if you have to use another problem..
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\n" ); document.write( "Let's use this equation\"
\n" ); document.write( "3y + 6x >= 12
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\n" ); document.write( "We want it in the general form (y=) in order to plot the coordinates in the
\n" ); document.write( " graph.
\n" ); document.write( "Subtract 6x from both sides and you have:
\n" ); document.write( "3y >= -6x + 12
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\n" ); document.write( "We want y to have a coefficient of 1, divide equation by 3 and you have:
\n" ); document.write( "y >= -2x + 4
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\n" ); document.write( "Ignore the inequality signs for a minute and chose some values for x and find y
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\n" ); document.write( "Lets plot from -3 to + 3. Since this is a straight line you really only need
\n" ); document.write( " two but will make a table from -3 to 3 give you an idea of what's going on:
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\n" ); document.write( "Start with x = -3, find y
\n" ); document.write( "Substitute -3 for x in the equation y = -2x + 4
\n" ); document.write( "y = -2(-3) + 4
\n" ); document.write( "y = +6 + 4
\n" ); document.write( "y = 10 when x = -3
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\n" ); document.write( "Do the same for each value for x, the table should look like this:
\n" ); document.write( " x | y
\n" ); document.write( "-------
\n" ); document.write( "-3 | 10
\n" ); document.write( "-2 | 8
\n" ); document.write( "-1 | 6
\n" ); document.write( " 0 | 4
\n" ); document.write( "+1 | 2
\n" ); document.write( "+3 | -2\r
\n" ); document.write( "\n" ); document.write( "plot each of these values on standard x/y graph paper,
\n" ); document.write( "your graph should look like this:
\n" ); document.write( "\"+graph%28+300%2C+200%2C+-10%2C+10%2C+-10%2C+10%2C+-2x+%2B+4%29+\"
\n" ); document.write( ":
\n" ); document.write( "Remember its y >= -2x + 4 so there is not a unique solution, but an
\n" ); document.write( "\"area of feasibility\". As you look at the graph, this area would be
\n" ); document.write( "at the line (=) and above the line \">\". On this graph it would be
\n" ); document.write( "the area above and to the right of the line'
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\n" ); document.write( "Did this make sense to you, any questions.
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