document.write( "Question 328282: seven times the larger number is 8 more than four times the smaller. also, three times the smaller is 19 less than twice the larger. what are the numbers? \n" ); document.write( "
Algebra.Com's Answer #235158 by mananth(16946)![]() ![]() You can put this solution on YOUR website! let smaller number by x \n" ); document.write( "larger number be y \n" ); document.write( ".. \n" ); document.write( "7y-8=4x \n" ); document.write( "7y-4x=8--------------1 \n" ); document.write( ".. \n" ); document.write( "3x+19= 2y \n" ); document.write( "3x-2y=-19------------2 \n" ); document.write( ".. \n" ); document.write( "multiply equation 1 by 2 & equation 2 by 7 and add the equations \n" ); document.write( "2(7y-4x)+7(3x-2y)=16+(-133) \n" ); document.write( "14y-8x+21x-14y=--117 \n" ); document.write( "13x=-117 \n" ); document.write( "x=-9 \n" ); document.write( "plug the value of y in equation 1 \n" ); document.write( "7y-4*-9=8\r \n" ); document.write( "\n" ); document.write( "7y=-28 \n" ); document.write( "y=-4 \n" ); document.write( " |