document.write( "Question 221030: Write a system of the form
\n" ); document.write( " ax+by=c
\n" ); document.write( " dx+ey=f
\n" ); document.write( "where a,b,c,d,e, and f are consecutive integers. Solve the system and make a conjecture.
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\n" ); document.write( "Please help! this is taken fron the textbook Beginning Algebra By Addison WEsley \n" ); document.write( "
Algebra.Com's Answer #165827 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Write a system of the form
\n" ); document.write( "ax+by=c
\n" ); document.write( "dx+ey=f
\n" ); document.write( "where a,b,c,d,e, and f are consecutive integers. Solve the system and make a conjecture.
\n" ); document.write( ":
\n" ); document.write( "1x + 2y = 3
\n" ); document.write( "4x + 5y = 6
\n" ); document.write( ":
\n" ); document.write( "Multiply the 1st equation by 4, subtract the 2nd equation from it:
\n" ); document.write( "4x + 8y = 12
\n" ); document.write( "4x + 5y = 6
\n" ); document.write( "--------------eliminate x
\n" ); document.write( "3y = 6
\n" ); document.write( "y = 2
\n" ); document.write( "then use the 1st equation to find x
\n" ); document.write( "x + 2(2) = 3
\n" ); document.write( "x = 3 - 4
\n" ); document.write( "x = -1
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\n" ); document.write( ":
\n" ); document.write( "Check solutions in the 2nd equation
\n" ); document.write( "4(-1) + 5(2) = 6
\n" ); document.write( "-4 + 10 = 6
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Can we conjecture that any system like this will have solutions
\n" ); document.write( "x = -1 and y = 2\r
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