document.write( "Question 1142955: Solve the simultaneous equation:
\n" ); document.write( "4x² - 9y² = 19
\n" ); document.write( "2x + 3y = 1 \n" ); document.write( "

Algebra.Com's Answer #763730 by greenestamps(13206) $\"\"$ $\"About$

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\n" ); document.write( "(1) $\"4x%5E2-9y%5E2+=+19\"$
\n" ); document.write( "(2) $\"2x%2B3y+=+1\"$

\n" ); document.write( "Rewrite (1) by factoring the left had side:
\n" ); document.write( "(3) $\"%282x%2B3y%29%282x-3y%29+=+19\"$

\n" ); document.write( "Use (2) and (3) to conclude that
\n" ); document.write( "(4) $\"2x-3y+=+19\"$

\n" ); document.write( "Add (2) and (4):
\n" ); document.write( " $\"4x+=+20\"$
\n" ); document.write( "(5) $\"x+=+5\"$

\n" ); document.write( "Substitute (5) in (2):
\n" ); document.write( " $\"10%2B3y+=+1\"$
\n" ); document.write( " $\"3y+=+-9\"$
\n" ); document.write( " $\"y+=+-3\"$

\n" ); document.write( "ANSWER: (x,y) = (5,-3)

\n" ); document.write( "CHECK: $\"4x%5E2-9y%5E2+=+4%2825%29-9%289%29+=+100-81+=+19\"$
\n" ); document.write( " \n" ); document.write( "

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