document.write( "Question 1127308: The sum of two numbers is 20. The difference between three times the first number and twice the second is 40. What are the two numbers \n" ); document.write( "
Algebra.Com's Answer #743699 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! The sum of two numbers is 20. \n" ); document.write( "a + b = 20 \n" ); document.write( " The difference between three times the first number and twice the second is 40. \n" ); document.write( "3a - 2b = 40 \n" ); document.write( " What are the two numbers? \n" ); document.write( "Multiply the 1st equation by 2, add to the 2nd equation \n" ); document.write( "2a + 2b = 40 \n" ); document.write( "3a - 2b = 40 \n" ); document.write( "----------------addition eliminates b, find a \n" ); document.write( "5a + 0 = 80 \n" ); document.write( "a = 80/5 \n" ); document.write( "a = 16 \n" ); document.write( "find b \n" ); document.write( " 16 + b = 20 \n" ); document.write( " b = 20 - 16 \n" ); document.write( " b = 4 \n" ); document.write( ": \n" ); document.write( "; \n" ); document.write( "Check in the 2nd equation \n" ); document.write( "3(16) - 2(4) = \n" ); document.write( "48 - 8 = 40 \n" ); document.write( " |