document.write( "Question 748512: Dear Sir/Madam,\r
\n" ); document.write( "\n" ); document.write( "I cannot figure out these simultaneous equations. Please help and show all working out.\r
\n" ); document.write( "\n" ); document.write( "(12-p)/p=12/b
\n" ); document.write( "12/p=(24-b)/b
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Algebra.Com's Answer #457623 by malglu(63)\"\" \"About 
You can put this solution on YOUR website!
these are proportions so you can multiply the denominators on each side by the numeratpr of the other, to get rid of the fracyions\r
\n" ); document.write( "\n" ); document.write( "you get
\n" ); document.write( "12b -bp =12p
\n" ); document.write( "and
\n" ); document.write( "12b = 24p -pb\r
\n" ); document.write( "\n" ); document.write( "rearrange these so that you have the b term on one side and the other two terms on the other. then minus one from the other, to get
\n" ); document.write( "24b/36 = p
\n" ); document.write( "i.e. p = 2/3rds b\r
\n" ); document.write( "\n" ); document.write( "if you substuitue this into one of the equations above, for eveyr time you have a 'p' then you will now get an equation which only has b's in it.\r
\n" ); document.write( "\n" ); document.write( "2b^2 -12b = 0\r
\n" ); document.write( "\n" ); document.write( "this can now be solved
\n" ); document.write( "b=0 or b =6
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