Solver Solve Any proportion
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Algebra: Proportions
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==section input nobreak Solve this proportion (put x for the unknown): <TABLE> <TR> <TD>*[input a1=3]<HR></TD> <TD>*[input b1=x]<HR></TD></TR> <TR> <TD>*[input a2=6] </TD> <TD>*[input b2=8] </TD></TR> </TABLE> ==section solution perl print " Solve {{{ $a1/$a2 = $b1/$b2}}}. Multiply both sides of {{{ $a1/$a2 = $b1/$b2}}} by denominators {{{$a1}}} and {{{$a2}}}: {{{ ($a1/$a2)*($a2)*($b2) = ($b1/$b2)*($a2)*($a1)}}} {{{ ($a1/cross( $a2 ))*(cross($a2))*($b2) = ($b1/cross( $b2 ))*($a2)*(cross($b2))}}} "; solve( "explain_simplification", "($a1)*($b2) = ($b1)*($a2)" ); $z = 1; ==section output z ==section check a1=1 a2=1 b1=1 b2=x z=1
