document.write( "Question 121425: Solve the following system of linear inequalities by graphing\r
\n" ); document.write( "\n" ); document.write( "x+2y £ 3
\n" ); document.write( "2x-3y £ 6
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Algebra.Com's Answer #89166 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
First graph x+2y=3.
\n" ); document.write( "\"x%2B2y=3\"
\n" ); document.write( "\"2y=3-x\"
\n" ); document.write( "\"y=%283-x%29%2F2\"
\n" ); document.write( "Slope is -1/2.
\n" ); document.write( "Y-intercept is 3/2.
\n" ); document.write( "\"+graph%28+300%2C+300%2C+-5%2C+5%2C+-10%2C+10%2C+%283-x%29%2F2%29+\"
\n" ); document.write( "Next add 2x-3y=6.
\n" ); document.write( "\"2x-3y=6\"
\n" ); document.write( "\"-3y=6-2x\"
\n" ); document.write( "\"y=%282x-6%29%2F3\"
\n" ); document.write( "Slope is 2/3.
\n" ); document.write( "Y-intercept is -2.
\n" ); document.write( "\"+graph%28+300%2C+300%2C+-5%2C+5%2C+-10%2C+10%2C+%283-x%29%2F2%2C%282x-6%29%2F3%29+\"
\n" ); document.write( "Looks like they intersect at (3,0).
\n" ); document.write( "Check your answer.
\n" ); document.write( "\"x%2B2y=3\"
\n" ); document.write( "\"%283%29%2B2%280%29=3\"
\n" ); document.write( "\"3=3\"
\n" ); document.write( "True statement.
\n" ); document.write( "\"2x-3y=6\"
\n" ); document.write( "\"2%283%29-3%280%29=6\"
\n" ); document.write( "\"6=6\"
\n" ); document.write( "True statement.
\n" ); document.write( "(3,0) satisfies both equations.
\n" ); document.write( "It's a good answer. \n" ); document.write( "
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