document.write( "Question 69338: Solve the following of linear equatins by graphing\r
\n" ); document.write( "\n" ); document.write( "x+2y<3
\n" ); document.write( "2x-3y<6\r
\n" ); document.write( "\n" ); document.write( "Please help
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Algebra.Com's Answer #49349 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
x+2y<3
\n" ); document.write( "2x-3y<6
\n" ); document.write( "---------------
\n" ); document.write( "Rewrite as:
\n" ); document.write( "y<(1/2)x+(3/2)
\n" ); document.write( "y>(2/3)x+2
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\n" ); document.write( "You want the graph of the inequalities but you
\n" ); document.write( "have to first graph the EQUALITY which is the boundary
\n" ); document.write( "for each of the inequalities.
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\n" ); document.write( "So graph:
\n" ); document.write( "y=(1/2)x+(3/2) using points (0,3/2) and (2,5/2)
\n" ); document.write( "and graph:
\n" ); document.write( "y=(2/3)x+2 using points (0,2) and (3,4)
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\n" ); document.write( "\"graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C%281%2F2%29x%2B%283%2F2%29%2C%282%2F3%29x%2B2%29\"
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\n" ); document.write( "Shade the half-plane below the 1st line because you want
\n" ); document.write( "y<(1/2x)+(3/2)
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\n" ); document.write( "The intersection of these two half-planes is the solution
\n" ); document.write( "set for the system of equations.
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "Shade the half-plane above the 2nd line because you want
\n" ); document.write( "y>(2/3)x+2
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