document.write( "Question 13577: x + y = -6
\n" ); document.write( "11x - y = 42\r
\n" ); document.write( "\n" ); document.write( "Many solutions or no solutions?
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Algebra.Com's Answer #6833 by ntnk(54)\"\" \"About 
You can put this solution on YOUR website!
To solve a system of equations, you can either graph, substitute, or use elimination. The easiest method for this problem will be elimination:
\n" ); document.write( "Add the two equations together to eliminate y:\r
\n" ); document.write( "\n" ); document.write( " x + y = -6
\n" ); document.write( "11x - y = 42
\n" ); document.write( "------------
\n" ); document.write( "12x + 0 = 36\r
\n" ); document.write( "\n" ); document.write( "\"12x+=+36\"
\n" ); document.write( "Now solve like a one step equation. Divide both sides by 12.
\n" ); document.write( "\"12x%2F12+=+36%2F12\"
\n" ); document.write( "Reduce.
\n" ); document.write( "\"x+=+3\"\r
\n" ); document.write( "\n" ); document.write( "Now plug in this value of x to one of the equations:
\n" ); document.write( "\"%283%29+%2B+y+=+-6\"
\n" ); document.write( "Subtract 3 from each side.
\n" ); document.write( "\"3+-+3+%2B+y+=+-6+-+3\"
\n" ); document.write( "Reduce.
\n" ); document.write( "\"y+=+-9\"\r
\n" ); document.write( "\n" ); document.write( "x = 3
\n" ); document.write( "y = -9\r
\n" ); document.write( "\n" ); document.write( "Remember to check:
\n" ); document.write( "\"11%283%29+-+%28-9%29\" ... \"42\"
\n" ); document.write( "\"33+%2B+9\" ... \"42\"
\n" ); document.write( "\"42+=+42\"\r
\n" ); document.write( "\n" ); document.write( "


\n" ); document.write( "Solved by: NtNk \n" ); document.write( "

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