document.write( "Question 169162: The Smith family pays $60 for 4 adult meals and 1 kid's meal.
\n" ); document.write( "The Jones family pays $42 for 2 adult meals and 2 kid's meals.
\n" ); document.write( "How much was each adult meal and each kid's meal.\r
\n" ); document.write( "\n" ); document.write( "Here is what I have so far . . .\r
\n" ); document.write( "\n" ); document.write( " 4x + y = 60
\n" ); document.write( "+ 2x + 2y = 42
\n" ); document.write( "_______________
\n" ); document.write( " 6x + 3y = $102\r
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Algebra.Com's Answer #124746 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
The Smith family pays $60 for 4 adult meals and 1 kid's meal.
\n" ); document.write( "The Jones family pays $42 for 2 adult meals and 2 kid's meals.
\n" ); document.write( "How much was each adult meal and each kid's meal.
\n" ); document.write( "Here is what I have so far . . .
\n" ); document.write( "4x + y = 60
\n" ); document.write( "2x + 2y = 42
\n" ); document.write( ":
\n" ); document.write( "These are the right equations, but you want to multiply one or both equations,
\n" ); document.write( " so that you can eliminate one of the variables.
\n" ); document.write( ":
\n" ); document.write( "In this case if we multiply the 1st equation by 2 and subtract we eliminate y
\n" ); document.write( "8x + 2y = 120
\n" ); document.write( "2x + 2y = 42
\n" ); document.write( "--------------- subtraction eliminates y, find x
\n" ); document.write( "6x + 0 = 78
\n" ); document.write( "x = \"78%2F6\"
\n" ); document.write( "x = $13 for adult meal
\n" ); document.write( ":
\n" ); document.write( "Use the 1s equation to find y, substitute 13 for x:
\n" ); document.write( "4(13) + y = 60
\n" ); document.write( "52 + y = 60
\n" ); document.write( "y = 60 - 52
\n" ); document.write( "y = $8 for kids meal
\n" ); document.write( ";
\n" ); document.write( ";
\n" ); document.write( "Check solution in the 2nd equation
\n" ); document.write( "2(13) + 2(8) = 42
\n" ); document.write( "26 + 16 = 42, confirms our solutions
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