document.write( "Question 787737: Twice Sally's age increased by 3 times Sue's age is 103. Five times Sally's age decreased by 4 times Sue's age is 16. How old will Sally be ten years from now? \n" ); document.write( "
Algebra.Com's Answer #478394 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Twice Sally's age increased by 3 times Sue's age is 103. \n" ); document.write( " Five times Sally's age decreased by 4 times Sue's age is 16. \n" ); document.write( " How old will Sally be ten years from now? \n" ); document.write( ": \n" ); document.write( "Let x = Sally's present age \n" ); document.write( "Let y = Sue's present age \n" ); document.write( ": \n" ); document.write( "Write an equation for each statement: \n" ); document.write( " \"Twice Sally's age increased by 3 times Sue's age is 103.\" \n" ); document.write( "2x + 3y = 103 \n" ); document.write( ": \n" ); document.write( "\"Five times Sally's age decreased by 4 times Sue's age is 16.\" \n" ); document.write( "5x - 4y = 16 \n" ); document.write( ": \n" ); document.write( "To use elimination here, multiply the 1st equation by 4, the 2nd by 3: \n" ); document.write( "8x + 12y = 412 \n" ); document.write( "15x -12y = 48 \n" ); document.write( "------------------addition eliminates y, find x \n" ); document.write( "23x = 460 \n" ); document.write( "x = 460/23 \n" ); document.write( "x = 20 yr is Sally's present age \n" ); document.write( ": \n" ); document.write( "\" How old will Sally be ten years from now?\" \n" ); document.write( "I'll let you figure that out \n" ); document.write( " |