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
\n" ); document.write( "\n" ); 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" ); document.write( "

Algebra.Com's Answer #89363 by stanbon(75887)\"\" \"About 
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( "
\n" );