document.write( "Question 124031: SOLVE BY SUBSTITUTION METHOD AND DETERMINE WHETHER ITS A INDEPENDENT, DEPENDENT, OR INCONSISTENT\r
\n" ); document.write( "\n" ); document.write( "x=2y-7
\n" ); document.write( "3x+2y=-5
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Algebra.Com's Answer #90966 by solver91311(24713)\"\" \"About 
You can put this solution on YOUR website!

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\n" ); document.write( "Discussion
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\n" ); document.write( "First off, please stop SHOUTING!\r
\n" ); document.write( "\n" ); document.write( "Definitions:\r
\n" ); document.write( "\n" ); document.write( "Consistent and dependent: Identical slopes and intercepts, i.e. they are
\n" ); document.write( "the same line. Infinite solutions
\n" ); document.write( "Consistent and independent: Different slopes. Intersect in one point. One
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\n" ); document.write( "Inconsistent: Identical slopes, different intercepts. Parallel lines. No
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\n" ); document.write( "Solution
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\r
\n" ); document.write( "\n" ); document.write( "\"x=2y-7\"
\n" ); document.write( "\"3x%2B2y=-5\"\r
\n" ); document.write( "\n" ); document.write( "Since you have an expression that is equal to x, i.e. the first equation,
\n" ); document.write( "you can substitute this expression for x in the other equation
\n" ); document.write( "\"3%2Ared%28%282y-7%29%29%2B2y=-5\"\r
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\n" ); document.write( "\n" ); document.write( "Solve for y:
\n" ); document.write( "\"6y-21%2B2y=-5\"
\n" ); document.write( "\"8y=-5%2B21\"
\n" ); document.write( "\"8y=16\"
\n" ); document.write( "\"y=2\"\r
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\n" ); document.write( "\n" ); document.write( "Substitute this value for y into the first equation:
\n" ); document.write( "\"x=2%282%29-7\"
\n" ); document.write( "\"x=-3\"\r
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\n" ); document.write( "\n" ); document.write( "So your solution is the ordered pair (-3,2)\r
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\n" ); document.write( "\n" ); document.write( "Since there is only one solution, the system is consistent and independent.\r
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