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)\"\" \"About 
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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.
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