document.write( "Question 160673: The product of two numbers is 330. The smaller number is seven less than the larger number. What are the numbers? \n" ); document.write( "
Algebra.Com's Answer #118483 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! The product of two numbers is 330. The smaller number is seven less than the \n" ); document.write( " larger number. What are the numbers? \n" ); document.write( ": \n" ); document.write( "Two numbers x, y \n" ); document.write( ": \n" ); document.write( "\"The product of two numbers is 330.\" \n" ); document.write( " x*y = 330 \n" ); document.write( ": \n" ); document.write( "\"The smaller number is seven less than the larger number.\" \n" ); document.write( " y = x-7 \n" ); document.write( "; \n" ); document.write( "What are the numbers? \n" ); document.write( ": \n" ); document.write( "Substitute (x-7) for y in the 1st equation, solve for x \n" ); document.write( "x(x-7) = 330 \n" ); document.write( "x^2 - 7x = 330 \n" ); document.write( "x^2 - 7x - 330 = 0 \n" ); document.write( "Factor \n" ); document.write( "(x-22)(x+15) = 0 \n" ); document.write( "Two solutions \n" ); document.write( "x = +22 then y = +15 \n" ); document.write( "x = -15 then y = -22 \n" ); document.write( ": \n" ); document.write( "You can check them in the original equations \n" ); document.write( " |