document.write( "Question 55515: the sum of two numbers is two. the difference between eight and twice the smaller number is two less than four times the larger. Find the two numbers
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Algebra.Com's Answer #37696 by ankor@dixie-net.com(22740)\"\" \"About 
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the sum of two numbers is two.
\n" ); document.write( "x + y = 2
\n" ); document.write( "x = (2 - y); substitute for x in the 2nd equation
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\n" ); document.write( "the difference between eight and twice the smaller number is two less than four times the larger. Let the smaller number be x:
\n" ); document.write( " 8 - 2x = 4y - 2
\n" ); document.write( " -2x - 4y = -2 - 8
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\n" ); document.write( "Get rid of all the negatives, mult eq by -1:
\n" ); document.write( " 2x + 4y = +10
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\n" ); document.write( "Substitute (2-y) for x:
\n" ); document.write( "2(2-y) + 4y = 10
\n" ); document.write( "4 - 2y +4y = 10
\n" ); document.write( " 2y = 10 -4
\n" ); document.write( " y = 6/2
\n" ); document.write( " y = +3
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\n" ); document.write( "Use x + y = 2 to find the value of x:
\n" ); document.write( "x + 3 = 2
\n" ); document.write( " x = 3 -3
\n" ); document.write( " x = -1
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\n" ); document.write( "Check the solutions:
\n" ); document.write( " 8 - 2x = 4y - 2
\n" ); document.write( " 8 - 2(-1) = 4(3) - 2
\n" ); document.write( " 8 + 2 = 12 - 2
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