document.write( "Question 876476: Solve the system of equations.\r
\n" ); document.write( "\n" ); document.write( " $\"3j%5E2+%2B+17j+%2B+8k+-+84+=+0\"$
\n" ); document.write( " $\"-j+%2B+8k+-+63+=+0\"$ \r
\n" ); document.write( "\n" ); document.write( "j:___, k:___
\n" ); document.write( " and
\n" ); document.write( "j:___, k:___ \n" ); document.write( "

Algebra.Com's Answer #529008 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"3j%5E2+%2B+17j+%2B+8k+-+84+=+0\"$
\n" ); document.write( " $\"-j+%2B+8k+-+63+=+0\"$
\n" ); document.write( "Subtract the 2nd equation from the first equation
\n" ); document.write( " $\"3j%5E2+%2B+17j+%2B+8k+-+84+=+0\"$
\n" ); document.write( " $\"+0++-+j+%2B++8k+++-+63+=+0\"$
\n" ); document.write( "---------------------------------subtraction eliminates k\r
\n" ); document.write( "\n" ); document.write( "3j^2 + 18j + 0 - 21 = 0
\n" ); document.write( "A quadratic we can factor
\n" ); document.write( "(3j - 3)(j + 7) = 0
\n" ); document.write( "3j = 3
\n" ); document.write( "j = 1
\n" ); document.write( "and
\n" ); document.write( "j = -7
\n" ); document.write( ":
\n" ); document.write( "Use the 2nd equation to find k
\n" ); document.write( "when j = 1
\n" ); document.write( "-1 + 8k - 63 = 0
\n" ); document.write( "8k = 63 + 1
\n" ); document.write( "k = 8, when j = 1
\n" ); document.write( ":
\n" ); document.write( "When j= -7
\n" ); document.write( "7 + 8k - 63 = 0
\n" ); document.write( "8k = 63 - 7
\n" ); document.write( "k = 56/8
\n" ); document.write( "k = 7 when j = -7
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check solutions in 1st equation
\n" ); document.write( "j=1, k=8
\n" ); document.write( "3(1^2) + 17(1) + 8(8) - 84 = 0
\n" ); document.write( "3 + 17 + 64 - 84 = 0
\n" ); document.write( "j=-7, k=7
\n" ); document.write( "3(-7^2) + 17(-7) + 8(7) - 84 = 0
\n" ); document.write( "147 - 119 + 56 - 84 = 0 \n" ); document.write( "

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