document.write( "Question 1057966: The sum of two numbers is 35. If the larger is doubled and the smaller is tripled,the difference is 5.find the numbers?
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #672987 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Two numbers a & b \n" ); document.write( ": \n" ); document.write( "Write an equation for each statement \n" ); document.write( ": \n" ); document.write( "The sum of two numbers is 35. \n" ); document.write( "a + b = 35 \n" ); document.write( "a = 35 - b; use this form for substitution \n" ); document.write( ": \n" ); document.write( " If the larger is doubled and the smaller is tripled, the difference is 5. \n" ); document.write( "2a - 3b = 5 \n" ); document.write( "Replace a with (35-b) \n" ); document.write( "2(35 - b) - 3b = 5\r \n" ); document.write( "\n" ); document.write( "70 - 2b - 3b = 5 \n" ); document.write( "-5b = 5 - 70 \n" ); document.write( "-5b = -65 \n" ); document.write( "b = -65/-5 \n" ); document.write( "b = +13 \n" ); document.write( "then \n" ); document.write( "a = 35 - 13 \n" ); document.write( "a = 22 \n" ); document.write( ": \n" ); document.write( "See if that checks out in the 2nd equation \n" ); document.write( "2(22) - 3(13) = \n" ); document.write( "44 - 39 = 0 \n" ); document.write( ": \n" ); document.write( " find the numbers? 22 & 13\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |