document.write( "Question 88038: sam is 10 years older than jack.twice sam`s age subtracted from 6 times jack`s age is 7 more than jack`s age. find jack and sam`s age \n" ); document.write( "
Algebra.Com's Answer #63932 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! s = sam's age now; j = jacks age now \n" ); document.write( ": \n" ); document.write( "Write an equation for each statement: \n" ); document.write( ": \n" ); document.write( "\"sam is 10 years older than jack.\" \n" ); document.write( " s = j + 10 \n" ); document.write( ": \n" ); document.write( "\"twice sam`s age subtracted from 6 times jack`s age is 7 more than jack`s age.\" \n" ); document.write( "6j - 2s = j + 7 \n" ); document.write( "6j - j - 2s = 7; subtract j from both sides \n" ); document.write( "5j - 2s = 7 \n" ); document.write( "Substitute (j+10) for s (the 1st equation) \n" ); document.write( "5j - 2(j+10) = 7 \n" ); document.write( "5j - 2j - 20 = 7 \n" ); document.write( "3j = 7 + 20 \n" ); document.write( "3j = 27 \n" ); document.write( "j = 27/3 \n" ); document.write( "j = 9 yrs old \n" ); document.write( ": \n" ); document.write( "obviously s = 19 yrs old \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solutions using the statement: \n" ); document.write( "\"twice sam`s age subtracted from 6 times jack`s age is 7 more than jack`s age.\" \n" ); document.write( " 6(9) - 2(19) = 9 + 7 \n" ); document.write( " 54 - 38 = 16\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |