document.write( "Question 1042: three times the larger of two numbers is equal to four times the smaller.the sum of the numbers is 21. please hhelp me find the numbers. \n" ); document.write( "
Algebra.Com's Answer #315 by usyim88hk(158)![]() ![]() ![]() You can put this solution on YOUR website! Let the small number be x and the bigger one be y \n" ); document.write( ": \n" ); document.write( "x+y = 21 \n" ); document.write( "4x = 3y \n" ); document.write( ": \n" ); document.write( "For this two equations, we can use substitution \n" ); document.write( ": \n" ); document.write( "y = 21 - x (change it into y-form) \n" ); document.write( "3y = 4x (another y-form) \n" ); document.write( ": \n" ); document.write( "now we have to take y away so we have to have 3y on one equation and -3y on another equation to get 0y which is nothing (hard isn't it?) \n" ); document.write( ": \n" ); document.write( "-3y = -63 + 3x \n" ); document.write( "3y = 4x \n" ); document.write( ": \n" ); document.write( "Now take away the ys by adding the equations \n" ); document.write( ": \n" ); document.write( "0 = 7x - 63 \n" ); document.write( "63 = 7x \n" ); document.write( "x = 9 \n" ); document.write( ": \n" ); document.write( "So now we know x and we can solve for y \n" ); document.write( ": \n" ); document.write( "3y = 4x \n" ); document.write( "3y = 4(9) \n" ); document.write( "3y = 36 \n" ); document.write( "y = 12 \n" ); document.write( ": \n" ); document.write( "So the answers are 9 and 12 \n" ); document.write( " |