document.write( "Question 36375: Steve has 5 poker chips and 7 blue poker chips.Tom has 9 red poker chips and 3 blue poker chips. If steve's chips are worth a total of $69 and tom's are worth a total of $57, determinr the calue of a blue chip? \n" ); document.write( "
Algebra.Com's Answer #22282 by benni1013(206)![]() ![]() ![]() You can put this solution on YOUR website! This is an application with the systems of equations.\r \n" ); document.write( "\n" ); document.write( "Allow x to equal red chips and y to equal blue chips.\r \n" ); document.write( "\n" ); document.write( "The set of equations will look like. \n" ); document.write( "5x+7y=69 \n" ); document.write( "9x+3y=57\r \n" ); document.write( "\n" ); document.write( "Multiply the top by 3 and the bottom by 7 to make the y terms the same. \n" ); document.write( "15x+21y=207 \n" ); document.write( "63x+21y=399\r \n" ); document.write( "\n" ); document.write( "Subtract and change the signs. \n" ); document.write( "15x+21y=207 \n" ); document.write( "-63x-21y=-399\r \n" ); document.write( "\n" ); document.write( "Add. \n" ); document.write( "-48x=-192\r \n" ); document.write( "\n" ); document.write( "Divide. \n" ); document.write( "x=4\r \n" ); document.write( "\n" ); document.write( "Substitute four into one of the equations. \n" ); document.write( "5(4)+7y=69 \n" ); document.write( "20+7y=69\r \n" ); document.write( "\n" ); document.write( "Subtract 20 \n" ); document.write( "7y=49 \n" ); document.write( "y=7\r \n" ); document.write( "\n" ); document.write( "Since y is the blue chip the blue chip's value is $7. \n" ); document.write( " |