document.write( "Question 1155559: Solving:\r
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document.write( " 5 x-3y = 18
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document.write( " -3 x-3y = -12 \r
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document.write( "Using Substitution Method.\r
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document.write( "Expressing x as a function of y (from the first equation) x = (18 +3y)/5\r
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document.write( "Substituting this expression into the second equation:\r
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document.write( " -3 (18 -3y)/5-3y = -12 \r
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document.write( "Why is this not -3(18+3y)/5-3y = -12 ?
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Algebra.Com's Answer #778156 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Solving: \n" ); document.write( "5x - 3y = 18 \n" ); document.write( "-3x - 3y - -12 \n" ); document.write( ": \n" ); document.write( "There is a lot simpler way to do this \n" ); document.write( "-3x -3y = -12 \n" ); document.write( "simplify, divide -3 \n" ); document.write( "x + y = 4 \n" ); document.write( "y = -x+4 \n" ); document.write( "Using Substitution Method. \n" ); document.write( "Replace y with (-x+4) in the first equation \n" ); document.write( "5x - 3(-x+4) = 18 \n" ); document.write( "distribute the -3 \n" ); document.write( "5x + 3x - 12 = 18 \n" ); document.write( "8x = 18 + 12 \n" ); document.write( "8x = 30 \n" ); document.write( "x = \n" ); document.write( "x = 3.75 \n" ); document.write( "find y \n" ); document.write( "y = -x + 4 \n" ); document.write( "y = -3.75 + 4 \n" ); document.write( "y = .25 \n" ); document.write( ": \n" ); document.write( "Check solutions in the 1st equation \n" ); document.write( "5x - 3y = 18 \n" ); document.write( "replace x & y \n" ); document.write( "5(3.75) - 3(.25) = 18 \n" ); document.write( "18.75 - .75 = 18 \n" ); document.write( " \n" ); document.write( " |