document.write( "Question 575749: The system 2x − 4y = 6 and x − y = −3 is independent. Replacing x − y = −3 with which of the following equations would result in an inconsistent system?
\n" ); document.write( " A. 2x − 2y = −6
\n" ); document.write( " B. x − 2y = −3
\n" ); document.write( " C. x − y = 3
\n" ); document.write( " D. x − 2y = 3 \n" ); document.write( "

Algebra.Com's Answer #369602 by lwsshak3(11628) $\"\"$ $\"About$

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The system 2x − 4y = 6 and x − y = −3 is independent. Replacing x − y = −3 with which of the following equations would result in an inconsistent system?
\n" ); document.write( "A. 2x − 2y = −6
\n" ); document.write( "B. x − 2y = −3
\n" ); document.write( "C. x − y = 3
\n" ); document.write( "D. x − 2y = 3
\n" ); document.write( "**
\n" ); document.write( "C would be the correct answer because both straight line equations have the same slope but different y-intercepts. Equations would be independent and the lines would be distinct and parallel.
\n" ); document.write( "note: 2x-2y=-6
\n" ); document.write( "converts to x-y=-3 \n" ); document.write( "

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