document.write( "Question 18338: 1. Find the value of C if 2xy-6x+7y+c is factorable \n" ); document.write( "
Algebra.Com's Answer #8781 by Earlsdon(6294)\"\" \"About 
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Find the value of c that will make \"2xy-6x%2Bc\" factorable.\r
\n" ); document.write( "\n" ); document.write( "Try factoring by grouping.\r
\n" ); document.write( "\n" ); document.write( "\"%282xy-6x%29+%2B+%287y%2Bc%29\" Factor 2x from the left set of parentheses.
\n" ); document.write( "\"2x%28y-3%29+%2B+%287y%2Bc%29\" Factor a 7 from the second set of parentheses.
\n" ); document.write( "\"2x%28y-3%29+%2B+7%28y%2Bc%2F7%29\" Now set \"%28y%2Bc%2F7%29+=+%28y-3%29\" and solve for c.\r
\n" ); document.write( "\n" ); document.write( "\"y%2Bc%2F7+=+y-3\" Subtract y from both sides.
\n" ); document.write( "\"c%2F7+=+-3\" Multiply both sides by 7.
\n" ); document.write( "\"c+=+-21\"\r
\n" ); document.write( "\n" ); document.write( "Answer: c = -21\r
\n" ); document.write( "\n" ); document.write( "Check: Factor by grouping;\r
\n" ); document.write( "\n" ); document.write( "\"%282xy-6x%29%2B%287y-21%29+=+2x%28y-3%29+%2B+7%28y-3%29\" = \"%282x%2B7%29%28y-3%29\"
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