document.write( "Question 69338: Solve the following of linear equatins by graphing\r
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document.write( "x+2y<3
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document.write( "2x-3y<6\r
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document.write( "Please help \n" );
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Algebra.Com's Answer #49349 by stanbon(75887)![]() ![]() ![]() 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 \n" ); document.write( "------------------ \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. \n" ); document.write( "----------- \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) \n" ); document.write( "----------------------------------------- \n" ); document.write( " \n" ); document.write( "----------- \n" ); document.write( "Shade the half-plane below the 1st line because you want \n" ); document.write( "y<(1/2x)+(3/2) \n" ); document.write( "--------- \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 \n" ); document.write( " |