document.write( "Question 1048549: Suppose we have the following linear system:
\n" ); document.write( "Ax + By = C (1)
\n" ); document.write( "Dx + Ey = F (2)
\n" ); document.write( "(a) Write the slope of the line determined by equation (1)
\n" ); document.write( "(b) Write the slope of the line determined by equation (2)
\n" ); document.write( "(c) What must be true about the given coefficients to guarantee that the
\n" ); document.write( "system is consistent?
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Algebra.Com's Answer #664143 by MathLover1(20850)\"\" \"About 
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\n" ); document.write( "\"Ax+%2B+By+=+C\"......... (1)
\n" ); document.write( "\"Dx+%2B+Ey+=+F+\"........ (2)\r
\n" ); document.write( "\n" ); document.write( "(a) Write the slope of the line determined by equation (1)
\n" ); document.write( "\"Ax+%2B+By+=+C\".....solve for \"y\"
\n" ); document.write( "\"By+=+-Ax+%2BC\"
\n" ); document.write( "\"y+=+-%28A%2FB%29x+%2BC%2FB\"
\n" ); document.write( "the slope is \"+-%28A%2FB%29\".....restriction:\"B%3C%3E0\"\r
\n" ); document.write( "\n" ); document.write( "(b) Write the slope of the line determined by equation (2)
\n" ); document.write( "\"Dx+%2B+Ey+=+F+\"
\n" ); document.write( "\"+Ey+=+-Dx%2BF+\"
\n" ); document.write( "\"+y+=+-%28D%2FE%29x%2BF%2FE+\"
\n" ); document.write( "the slope is \"+-%28D%2FE%29\".....restriction:\"E%3C%3E0\"\r
\n" ); document.write( "\n" ); document.write( "(c) What must be true about the given coefficients to guarantee that the
\n" ); document.write( "system is consistent?\r
\n" ); document.write( "\n" ); document.write( "A consistent system is a system that has at least one solution.
\n" ); document.write( "There will be exactly one unique solution if the coefficient of \"x\" and \"y\" is not \"0\"\r
\n" ); document.write( "\n" ); document.write( "means, if \"+-%28A%2FB%29%3C%3E0\" and \"+-%28D%2FE%29%3C%3E0\"
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