document.write( "Question 206059: Solve each system by addition.As part of your answer indicate whether the equation are independent, dependent, or inconsistent.\r
\n" ); document.write( "\n" ); document.write( "x-y=3
\n" ); document.write( "-6x+6y=17 \n" ); document.write( "

Algebra.Com's Answer #155622 by stanbon(75887) $\"\"$ $\"About$

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Solve each system by addition.As part of your answer indicate whether the equation are independent, dependent, or inconsistent.
\n" ); document.write( "x-y=3
\n" ); document.write( "-6x+6y=17
\n" ); document.write( "-------------------------------------
\n" ); document.write( "Multiply thru the 1st equation by 6 to get:
\n" ); document.write( "6x-6y = 18
\n" ); document.write( "---
\n" ); document.write( "Add that to the 2nd equation to get:
\n" ); document.write( "0 = 35
\n" ); document.write( "--------------------
\n" ); document.write( "That is a contradictin that happened because we assumed
\n" ); document.write( "the \"x\" in both equations and the \"y\" in both equations
\n" ); document.write( "had a consistent meaning.
\n" ); document.write( "---
\n" ); document.write( "They do not so the system of equations is said to be
\n" ); document.write( "inconsistent.
\n" ); document.write( "========================================
\n" ); document.write( "Cheers,
\n" ); document.write( "stan H. \n" ); document.write( "

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