document.write( "Question 187419: 2x + 2y=8 and 4x-6y=36\r
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\n" ); document.write( "\n" ); document.write( "solution (6,2) how did my text book come up with thesesolutions \n" ); document.write( "

Algebra.Com's Answer #140484 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
(1) $\"2x+%2B+2y+=+8\"$
\n" ); document.write( "Divide both sides by $\"2\"$
\n" ); document.write( "(1) $\"x+%2B+y+=+4\"$
\n" ); document.write( "(1) $\"x+=+4+-+y\"$
\n" ); document.write( "(2) $\"4x+-+6y+=+36\"$
\n" ); document.write( "Divide both sides by $\"2\"$
\n" ); document.write( "(2) $\"2x+-+3y+=+18\"$
\n" ); document.write( "Substitute (1) in (2)
\n" ); document.write( "(2) $\"2%2A%284+-+y%29+-+3y+=+18\"$
\n" ); document.write( "(2) $\"8+-+2y+-+3y+=+18\"$
\n" ); document.write( "(2) $\"-5y+=+10\"$
\n" ); document.write( "(2) $\"y+=+-2\"$
\n" ); document.write( "Substitute this back into (1)
\n" ); document.write( "(1) $\"x+=+4+-+y\"$
\n" ); document.write( "(1) $\"x+=+4+-+%28-2%29\"$
\n" ); document.write( "(1) $\"x+=+4+%2B+2\"$
\n" ); document.write( "(1) $\"x+=+6\"$
\n" ); document.write( "The answer is (6,-2)
\n" ); document.write( "check answer:
\n" ); document.write( "(1) $\"2x+%2B+2y+=+8\"$
\n" ); document.write( "(1) $\"2%2A6+%2B+2%2A%28-2%29+=+8\"$
\n" ); document.write( "(1) $\"12+-+4+=+8\"$
\n" ); document.write( " $\"8+=+8\"$
\n" ); document.write( "(2) $\"4x+-+6y+=+36\"$
\n" ); document.write( "(2) $\"4%2A6+-+6%2A%28-2%29+=+36\"$
\n" ); document.write( "(2) $\"24+%2B+12+=+36\"$
\n" ); document.write( "(2) $\"36+=+36\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

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