document.write( "Question 1121132: Find the values of k for which the given linear system is consistent
\n" ); document.write( " x-3y+z=1
\n" ); document.write( " 2x-2y =k^2
\n" ); document.write( " 3x-5y+z=0
\n" ); document.write( "-2x+8y+4=49 \n" ); document.write( "
Algebra.Com's Answer #736912 by ankor@dixie-net.com(22740)\"\" \"About 
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Find the values of k for which the given linear system is consistent
\n" ); document.write( "x-3y+z=1
\n" ); document.write( "2x-2y =k^2
\n" ); document.write( "3x-5y+z=0
\n" ); document.write( "-2x+8y+4=49
\n" ); document.write( ":
\n" ); document.write( "Use elimination on the 1st and 3rd equation
\n" ); document.write( "3x- 5y + z = 0
\n" ); document.write( "x - 3y + z = 1
\n" ); document.write( "-------------------Subtraction eliminate z
\n" ); document.write( "2x - 2y = -1
\n" ); document.write( ":
\n" ); document.write( "Use elimination again with this equation and the 4th equation (simplified)
\n" ); document.write( "2x - 2y = -1
\n" ); document.write( "-2x +8y = 45
\n" ); document.write( "--------------Addition eliminates x, find y
\n" ); document.write( "0 + 6y = 44
\n" ); document.write( "y = 44/6
\n" ); document.write( "y = 7.33
\n" ); document.write( ":
\n" ); document.write( "find x
\n" ); document.write( "2x - 2(7.33) = -1
\n" ); document.write( "2x - 14.66 = -1
\n" ); document.write( "2x = -1 + 14.66
\n" ); document.write( "2x = 13.66
\n" ); document.write( "x = 13.66/2
\n" ); document.write( "x = 6.83
\n" ); document.write( ":
\n" ); document.write( "Find the value of K using the 2nd equation
\n" ); document.write( "2(6.83) - 2(7.33) = k^2
\n" ); document.write( "13.66 - 14.66 = k^2
\n" ); document.write( "k^2 = -1
\n" ); document.write( "k = \"sqrt%28-1%29\"
\n" ); document.write( "k = i\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
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