document.write( "Question 1182620: Convert each of these linear equations into the form Y = mX + c,where a and b are constants. State clearly what the variables X and Y and the constants m and c represent.\r
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document.write( "1) y = a/b-x
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document.write( "2) y(y-a) = x - b
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document.write( "3) mx^2 + ny^2 = x \n" );
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Algebra.Com's Answer #812700 by Edwin McCravy(20055)![]() ![]() You can put this solution on YOUR website! 1) y = a/(b-x) \r\n" ); document.write( " y(b-x) = a\r\n" ); document.write( " by-xy = a\r\n" ); document.write( " -xy = -by+a \r\n" ); document.write( " xy = by-a\r\n" ); document.write( "\r\n" ); document.write( "Let xy = Y and y = X\r\n" ); document.write( "\r\n" ); document.write( " Y = bX-a\r\n" ); document.write( "\r\n" ); document.write( "Let b = m and -a = c\r\n" ); document.write( "\r\n" ); document.write( " Y = mX+c \n" ); document.write( " 2) y(y-a) = x-b \r\n" ); document.write( " Let y(y-a) = Y, X = x\r\n" ); document.write( "\r\n" ); document.write( " Y = X-b\r\n" ); document.write( "\r\n" ); document.write( "Let m = 1 and -b=c\r\n" ); document.write( " \r\n" ); document.write( " Y = mX+c \n" ); document.write( "3) mx2 + ny2 = x \r\n" ); document.write( "You already have m in there so it would be confusing to have m represent two\r\n" ); document.write( "different constants, so let's change the problem with another letter besides\r\n" ); document.write( "m. I'll use p:\r\n" ); document.write( "\r\n" ); document.write( " px2 + ny2 = x\r\n" ); document.write( " px2 - x = -ny2\r\n" ); document.write( "\r\n" ); document.write( "Let px2 - x = Y and let y2 = X\r\n" ); document.write( "\r\n" ); document.write( " Y = -nX \r\n" ); document.write( " Y = -nX + 0\r\n" ); document.write( "\r\n" ); document.write( "Let -n=m and let c=0\r\n" ); document.write( "\r\n" ); document.write( " Y = mX + c\r\n" ); document.write( "\r\n" ); document.write( "Edwin \n" ); document.write( " \n" ); document.write( " |