document.write( "Question 1173551: Two numbers differ by 5. The quotient of the larger number and 2 is 13 more than twice the smaller number. Write a system that represents the situation. Solve the system to find the numbers. \n" ); document.write( "
Algebra.Com's Answer #798784 by ewatrrr(24785)\"\" \"About 
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document.write( "Hi,
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document.write( "Two numbers differ by 5. The quotient of the larger number(y) and 2 is 13 more than twice the smaller number(x)
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document.write( "Let x represent the smaller number and y represent the Larger:
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document.write( "Write as You Read: x 
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document.write( " y - x = 5
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document.write( " y/2 = 2x + 13\r
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document.write( " y -  x = 5
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document.write( " y/2 -2x = 13   |Multiply 2nd EQ by -2 to eliminate y\r
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document.write( " y -  x = 5
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document.write( " -y + 4x = -26
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document.write( "    3x = -21
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document.write( "     x = -7, the smaller number.   Larger numbers is  -2  \"y+=+x%2B5\"
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document.write( "Checking our Answer:
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document.write( " y/2 = 2x + 13
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document.write( " -1 = -14  + 13  checks
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document.write( "Wish You the Best in your Studies. \n" );
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