document.write( "Question 1044082: Hello,\r
\n" ); document.write( "\n" ); document.write( "I need help with the following math problem:\r
\n" ); document.write( "\n" ); document.write( "\"Given that \"+-3%3C=7x%2B2y%3C=3+\" and \"+-4%3C=y-x%3C=4+\", what is the maximum possible value of \"+x%2By+\"?\"\r
\n" ); document.write( "\n" ); document.write( "Please give a detailed explanation of how to solve this problem.\r
\n" ); document.write( "\n" ); document.write( "Thank you,
\n" ); document.write( "Nicole
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Algebra.Com's Answer #659319 by robertb(5830)\"\" \"About 
You can put this solution on YOUR website!
Multiply all sides of \"+-3%3C=7x%2B2y%3C=3+\" by 2/9. This would give\r
\n" ); document.write( "\n" ); document.write( "\"+-2%2F3%3C=14x%2F9%2B4y%2F9%3C=2%2F3+\" <----Inequality A\r
\n" ); document.write( "\n" ); document.write( "Now multiply all sides of \"+-4%3C=y-x%3C=4+\" by 5/9. This would give\r
\n" ); document.write( "\n" ); document.write( "\"+-20%2F9+%3C=+5y%2F9-5x%2F9+%3C=+20%2F9+\". <-------Inequality B\r
\n" ); document.write( "\n" ); document.write( "Adding the corresponding sides of inequalities A and B, we get\r
\n" ); document.write( "\n" ); document.write( "\"+-2%2F3+-20%2F9+%3C=+14x%2F9%2B4y%2F9+%2B+5y%2F9-5x%2F9+%3C=+2%2F3+%2B20%2F9\", or\r
\n" ); document.write( "\n" ); document.write( "\"-26%2F9+%3C=+x%2By+%3C=+26%2F9\".\r
\n" ); document.write( "\n" ); document.write( "So from this we could see that the maximum value of x+y is 26/9, while its minimum value is -26/9.\r
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