document.write( "Question 511756: -6x+6y=12 and 6x+y=-12 \n" ); document.write( "

Algebra.Com's Answer #342389 by Maths68(1474) $\"\"$ $\"About$

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-6x+6y=12.........(1)
\n" ); document.write( "6x+y=-12...........(2)
\n" ); document.write( "Add (1) and (2)
\n" ); document.write( "-6x+6y=12
\n" ); document.write( "6x+y=-12
\n" ); document.write( "-----------
\n" ); document.write( "7y=0
\n" ); document.write( "7y/7=0/7
\n" ); document.write( "y=0
\n" ); document.write( "Put the value of y in (2)
\n" ); document.write( "6x+y=-12
\n" ); document.write( "6x+0=-12
\n" ); document.write( "6x=-12
\n" ); document.write( "6x/6=-12/6
\n" ); document.write( "x=-2\r
\n" ); document.write( "\n" ); document.write( "Solution set (-2, 0)\r
\n" ); document.write( "\n" ); document.write( "Check\r
\n" ); document.write( "\n" ); document.write( "Put the values of x and y in any of two equations (1) or (2)
\n" ); document.write( "-6x+6y=12.........(1)
\n" ); document.write( "-6(-2)+6(0)=12.........(1)
\n" ); document.write( "12+0=12
\n" ); document.write( "12=12\r
\n" ); document.write( "\n" ); document.write( "6x+y=-12...........(2)
\n" ); document.write( "6(-2)+0=-12
\n" ); document.write( "-12=-12\r
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