document.write( "Question 468754: x+6y=9 x=2-6y is there a solution of ordered pair or none
\n" ); document.write( "I think there isnt one but double checking \n" ); document.write( "
Algebra.Com's Answer #321615 by algebrahouse.com(1659)\"\" \"About 
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x + 6y = 9
\n" ); document.write( "x = 2 - 6y\r
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\n" ); document.write( "\n" ); document.write( "2 - 6y + 6y = 9 {substituted 2 - 6y, in for x, into top equation}
\n" ); document.write( "2 = 9 {combined like terms}
\n" ); document.write( "= no solution {the variable disappeared and you got a false statement}\r
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\n" ); document.write( "\n" ); document.write( "When the variable disappears and you get a false statement, such as 0 = 3,
\n" ); document.write( "then thee is \"no solution\". This means, the two lines would not intersect.
\n" ); document.write( "In other words, the two equations, when graphed, would create parallel lines.\r
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\n" ); document.write( "\n" ); document.write( "When the variable disappears and you get a true statement, such as 0 = 0,
\n" ); document.write( "then there are \"infinite solutions\". This means, the two lines intersect
\n" ); document.write( "in an infinite number of points. In other words, the two equations are equivalent,
\n" ); document.write( "and would create the same line when graphed.
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