document.write( "Question 1176414: Solve the system for x and​ y, expressing either value in terms of​ a, if necessary. Assume that a ≠ 0.\r
\n" ); document.write( "\n" ); document.write( "6ax + 7y = 23\r
\n" ); document.write( "\n" ); document.write( "ax + 3y = 2\r
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\n" ); document.write( "\n" ); document.write( "Select the correct choice below​ and, if​ necessary, fill in the answer box within your choice.\r
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\n" ); document.write( "\n" ); document.write( "A.The solution set is {__}. (Simplify your answer. Type an ordered​ pair.)\r
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\n" ); document.write( "\n" ); document.write( "B. There are infinitely many solutions. The solution set is {(x,y) |__}.\r
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\n" ); document.write( "\n" ); document.write( "​(Simplify your answer. Type an​ equation.)\r
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\n" ); document.write( "\n" ); document.write( "C. There is no solution. The solution set is Ø.
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Algebra.Com's Answer #803277 by MathLover1(20849)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "\"6ax+%2B+7y+=+23\"
\n" ); document.write( "\"ax+%2B+3y+=2\"
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\n" ); document.write( "\n" ); document.write( "start with\r
\n" ); document.write( "\n" ); document.write( "\"6ax+%2B+7y+=+23\" .........solve for \"y\"\r
\n" ); document.write( "\n" ); document.write( "\"7y+=+23+-6ax+\"\r
\n" ); document.write( "\n" ); document.write( "\"y+=+23%2F7+-%286ax%29%2F7\".......1)\r
\n" ); document.write( "\n" ); document.write( "go to\r
\n" ); document.write( "\n" ); document.write( "\"ax+%2B+3y+=+2\"......solve for \"y\"
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\n" ); document.write( "\"3y+=+2-ax\"
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\n" ); document.write( "\"y+=+2%2F3-%28ax%29%2F3\".......2)\r
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\n" ); document.write( "\n" ); document.write( "from 1) and 2) we have\r
\n" ); document.write( "\n" ); document.write( "\"+23%2F7+-%286ax%29%2F7+=2%2F3-%28ax%29%2F3\"\r
\n" ); document.write( "\n" ); document.write( "\"23%2F7+-2%2F3=+6ax%2F7-ax%2F3\"...........multiply by \"21\"\r
\n" ); document.write( "\n" ); document.write( "\"69-14+=18ax-7ax+\"\r
\n" ); document.write( "\n" ); document.write( "\"55+=11ax+\"\r
\n" ); document.write( "\n" ); document.write( "\"x=55%2F11a\"\r
\n" ); document.write( "\n" ); document.write( "\"x=5%2Fa\"\r
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\n" ); document.write( "\n" ); document.write( "\"y+=+2%2F3-%28ax%29%2F3\"..........substitute \"x\"\r
\n" ); document.write( "\n" ); document.write( "\"y+=+2%2F3-%28a%285%2Fa%29%29%2F3\"\r
\n" ); document.write( "\n" ); document.write( "\"y+=+2%2F3-5%2F3\"\r
\n" ); document.write( "\n" ); document.write( "\"y+=+-3%2F3\"\r
\n" ); document.write( "\n" ); document.write( "\"y+=+-1\"\r
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\n" ); document.write( "\n" ); document.write( "solution set: (\"5%2Fa\",\"+-1\") where \"a%3C%3E0\"\r
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