document.write( "Question 121724: Can you please help me figure this one out? I have tried doing it but doesn't come out right.\r
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document.write( "y1=x, y2=6+x, y3= 3(x-4)/10x, and the sum of 8 times y1 and 4 times y2 equals y3. Show equation and solve. \n" );
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Algebra.Com's Answer #89363 by stanbon(75887) ![]() You can put this solution on YOUR website! y1=x \n" ); document.write( "y2=6+x \n" ); document.write( "y3= 3(x-4)/10x, \n" ); document.write( "the sum of 8 times y1 and 4 times y2 equals y3. Show equation and solve. \n" ); document.write( "------------- \n" ); document.write( "EQUATION: \n" ); document.write( "8y1+4y2 = y3 \n" ); document.write( "Substitute and solve: \n" ); document.write( "------------ \n" ); document.write( "8x + 4(6+x) = [3(x-4)/10x] \n" ); document.write( "8x + 24+4x = [3x-12/10x] \n" ); document.write( "12x + 24 = (3x-12)/10x \n" ); document.write( "Multiply thru by 10x to get: \n" ); document.write( "120x^2 + 240x = 3x-12 \n" ); document.write( "120x^2+237x+12 = 0 \n" ); document.write( "x = [-237 +- sqrt(237^2-4*120*12]/240 \n" ); document.write( "x = [-237 +- sqrt(50409.5195)]/240 \n" ); document.write( "x = [-237 +- 224.5195]/240 \n" ); document.write( "x = [-12.4805]/240 or x = 461.5195/240 \n" ); document.write( "x =-0.0520 or 1.923 \n" ); document.write( "================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |