document.write( "Question 1083513: Given that -3 <= 7x + 2y <= 3 and -4 <= y - x <= 4$, what is the maximum possible value of x + y? \n" ); document.write( "
Algebra.Com's Answer #697517 by rothauserc(4718)\"\" \"About 
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1) 7x + 2y = 3
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\n" ); document.write( "2) y - x = 4
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\n" ); document.write( "solve equation 2 for y
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\n" ); document.write( "y = x + 4
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\n" ); document.write( "substitute for y in equation 1
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\n" ); document.write( "7x + 2(x + 4) = 3
\n" ); document.write( "7x + 2x + 8 = 3
\n" ); document.write( "9x = -5
\n" ); document.write( "x = -5/9
\n" ); document.write( "y = -5/9 + 4 = -5/9 + 36/9 = 31/9
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\n" ); document.write( "x + y = -5/9 + 31/9 = 26/9
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