document.write( "Question 150729: 5x-2y=-16
\n" ); document.write( "2x+ y= 8\r
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Algebra.Com's Answer #110684 by Electrified_Levi(103)\"\" \"About 
You can put this solution on YOUR website!
Hi, Hope I can help
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\n" ); document.write( "5x-2y=-16
\n" ); document.write( "2x+ y= 8
\n" ); document.write( "please solve using elimination method
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\n" ); document.write( "elimination method is pretty easy, first you either add or subtract the equations to get rid of a letter
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\n" ); document.write( "We can't add or subtract to get rid of a letter, yet.
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\n" ); document.write( "We will add the first two equations to make a new equation
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\n" ); document.write( "5x-2y=-16
\n" ); document.write( "2x+ y= 8
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\n" ); document.write( "5x-2y=-16
\n" ); document.write( "+ (2x + y= 8)
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\n" ); document.write( "5x-2y=-16
\n" ); document.write( "+ 2x+y= +8
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\n" ); document.write( "We can move the second equation to the first equation
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\n" ); document.write( " \"+5x+%2B+2x+-2y+%2B+y+=+-16+%2B+8+\"
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\n" ); document.write( "It will become
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\n" ); document.write( "\"+7x+-+y+=+-8+\"
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\n" ); document.write( "We can now add or subtract to get rid of a letter, which is \"y\"
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\n" ); document.write( "We can add the second equation (2x+ y= 8) to our third equation ( 7x - y = -8 )
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\n" ); document.write( "We will put them side by side
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\n" ); document.write( "7x - y = -8
\n" ); document.write( "2x+ y= 8
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\n" ); document.write( "We will now add
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\n" ); document.write( "7x - y = -8
\n" ); document.write( "+ (2x + y = 8)
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\n" ); document.write( "7x - y = -8
\n" ); document.write( " + 2x + y= + 8
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\n" ); document.write( "We will put the equations on top of each other
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\n" ); document.write( " \"+7x+%2B+2x+-+y+%2B+y+=+%28-8%29+%2B+8+\"
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\n" ); document.write( "It will become
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\n" ); document.write( "\"+9x+=+0+\"
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\n" ); document.write( "We will divide each side by 9
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\n" ); document.write( "\"+9x%2F9+=+0%2F9+\"
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\n" ); document.write( "x = \"+0%2F9+\"
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\n" ); document.write( "x = 0
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\n" ); document.write( "We can replace \"x\" in our original equations
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\n" ); document.write( "5x-2y=-16
\n" ); document.write( "2x+ y= 8
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\n" ); document.write( "We will use the second equation
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\n" ); document.write( "\"+2x%2B+y=+8+\"
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\n" ); document.write( " \"+2%280%29%2B+y=+8+\"
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\n" ); document.write( "\"+0+%2B+y+=+8+\"
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\n" ); document.write( "y = 8
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\n" ); document.write( "Our soulution is (0,8) (x,y) (point (0,8) can be put in both of our orignal equations)
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\n" ); document.write( "We can check by replacing \"x\" and \"y\" in our first equation, and second equation
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\n" ); document.write( "First equation
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\n" ); document.write( "\"+5x-2y=-16+\"
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\n" ); document.write( "\"+5%280%29-2%288%29=-16+\"
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\n" ); document.write( "\"+0+-+16+=+-16+\"
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\n" ); document.write( "\"+-16+=+-16+\" (True)
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\n" ); document.write( "Second equation
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\n" ); document.write( "\"+2x%2B+y=+8+\"
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\n" ); document.write( "\"+2%280%29%2B+%288%29=+8+\"
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\n" ); document.write( "\"+0+%2B+8+=+8+\"
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\n" ); document.write( "\"+8+=+8+\" (True)
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\n" ); document.write( " Our solution set = (0,8)
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\n" ); document.write( "Hope I helped, Levi
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