document.write( "Question 260348: Three times the first number plus the second number is 88. The first number times 10 is equal to 4 times the second.What is the unknown number? \n" ); document.write( "
Algebra.Com's Answer #191807 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Let x = the 1st number \n" ); document.write( "let y = the 2nd number \n" ); document.write( ": \n" ); document.write( "Write an equation for each statement: \n" ); document.write( ": \n" ); document.write( "Three times the first number plus the second number is 88. \n" ); document.write( "3x + y = 88 \n" ); document.write( "y = (88-3x); use for substitution \n" ); document.write( ": \n" ); document.write( " The first number times 10 is equal to 4 times the second. \n" ); document.write( "10x = 4y \n" ); document.write( "Replace y with (88-3x) \n" ); document.write( "10x = 4(88-3x) \n" ); document.write( "10x = 352 - 12x \n" ); document.write( "10x + 12x = 352 \n" ); document.write( "22x = 352 \n" ); document.write( "x = \n" ); document.write( "x = 16 is the unknown number \n" ); document.write( "; \n" ); document.write( ": \n" ); document.write( "Check solution: \n" ); document.write( "y = 88 - 3(16) \n" ); document.write( "y = 88 - 48 \n" ); document.write( "y = 40 \n" ); document.write( "\"The first number times 10 is equal to 4 times the second.\" \n" ); document.write( "10(16) = 4(40) \n" ); document.write( "160 = 160\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |