document.write( "Question 143862: Solve by setting up the proper equation to describe the facts given and then carrying out the mathematical calculations to solve for the unknown variable(s).
\n" ); document.write( "Three times a larger number added to 4 times a smaller number totals 24. When twice the smaller number is subtracted from twice the larger number, the result is 2. What are the two numbers?
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Algebra.Com's Answer #104680 by checkley77(12844)\"\" \"About 
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3x+4y=24
\n" ); document.write( "2x-2y=2 or 2x=2y+2 or x=2y/2+2/2 or x=y+1
\n" ); document.write( "3(y+1)+4y=24
\n" ); document.write( "3y+3+4y=24
\n" ); document.write( "7y=24-3
\n" ); document.write( "7y=21
\n" ); document.write( "y=21/7
\n" ); document.write( "y=3 answer.
\n" ); document.write( "3x+4*3=24
\n" ); document.write( "3x+12=24
\n" ); document.write( "3x=24-12
\n" ); document.write( "3x=12
\n" ); document.write( "x=12/3
\n" ); document.write( "x=4 answer.
\n" ); document.write( "proof:
\n" ); document.write( "2*4-2*3=2
\n" ); document.write( "8-6=2
\n" ); document.write( "2=2\r
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