document.write( "Question 133423: The fifth number plus the third number equals fourteen.
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document.write( "The fourth number is one more than the second number.
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document.write( "The first number is one less than twice the second number.
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document.write( "The second number plus the third number equals ten.
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document.write( "The sum of all five numbers is 30.
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Algebra.Com's Answer #97703 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Let numbers = a, b, c, d, e \n" ); document.write( ": \n" ); document.write( "Write an equation for each statement, then try to get the numbers in terms of b \n" ); document.write( ": \n" ); document.write( "The fifth number plus the third number equals fourteen. \n" ); document.write( "e + c = 14 \n" ); document.write( ": \n" ); document.write( "The fourth number is one more than the second number. \n" ); document.write( "d = b + 1 \n" ); document.write( ": \n" ); document.write( "The first number is one less than twice the second number. \n" ); document.write( "a = 2b - 1 \n" ); document.write( ": \n" ); document.write( "The second number plus the third number equals ten. \n" ); document.write( "b + c = 10 \n" ); document.write( "c = 10 - b \n" ); document.write( ": \n" ); document.write( "The sum of all five numbers is 30. \n" ); document.write( "a + b + c + d + e = 30 \n" ); document.write( ": \n" ); document.write( "Using the 1st equation, substitute (10-b) for c and you have: \n" ); document.write( "e + (10-b) = 14 \n" ); document.write( "e = b + 14 - 10 \n" ); document.write( "e = b + 4 \n" ); document.write( ": \n" ); document.write( "Substitute for a, c, d, e, in the total equation, find b: \n" ); document.write( "(2b-1) + b + (10-b) + (b+1)+ (b+4) = 30 \n" ); document.write( "total the b's and the numbers and you have; \n" ); document.write( "4b + 14 = 30 \n" ); document.write( "4b = 30 - 14 \n" ); document.write( "b = 16/4 \n" ); document.write( "b = 4 \n" ); document.write( ": \n" ); document.write( "Use the other equations to find a, c, d, and e; then check the total \n" ); document.write( " |