document.write( "Question 1071822: If a(x+b)=3x+12 for all values of x, then a+b equals to what? \n" ); document.write( "
Algebra.Com's Answer #686730 by Edwin McCravy(20064)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "a(x+b)=3x+12\r\n" );
document.write( "\r\n" );
document.write( "Since that is to be true for all values of x,\r\n" );
document.write( "it's true when x = 0.  So,\r\n" );
document.write( "\r\n" );
document.write( "a(0+b)=3(0)+12\r\n" );
document.write( "  a(b)=0+12\r\n" );
document.write( "    ab=12\r\n" );
document.write( "\r\n" );
document.write( "It's also true when a=1, so\r\n" );
document.write( "\r\n" );
document.write( "a(1+b)=3(1)+12\r\n" );
document.write( "  a+ab=3+12\r\n" );
document.write( "  a+ab=15, and since ab=12,\r\n" );
document.write( "  a+12=15\r\n" );
document.write( "     a=3\r\n" );
document.write( "\r\n" );
document.write( "And since ab=12\r\n" );
document.write( "          3b=12\r\n" );
document.write( "           b=4\r\n" );
document.write( "\r\n" );
document.write( "So a(x+b)=3x+12  is really just\r\n" );
document.write( "   3(x+4)=3x+12\r\n" );
document.write( "\r\n" );
document.write( "An application of the distributive principle.\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );