document.write( "Question 133463: Suppose 1/(2x – 4) + 1/(x – 2) = 3/2. What is x?
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document.write( "This is a question from my teacher. I think I'm supposed to add the first two equations, then cross multiply that answer by 3/2 to get the answer, but I'ts just not coming together for me. \n" );
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Algebra.Com's Answer #97644 by checkley71(8403) ![]() You can put this solution on YOUR website! 1/(2X-4)+1/(X-2)=3/2 COMBINE THE 2 FRACTIONS BY FINDING A COMMON DENOMINATOR WHICH IS (2X-4)(X-2). \n" ); document.write( "(X-2+2X-4)/(2X-4)(X-2)=3/2 \n" ); document.write( "(3X-6)/(2X^2-8X+8)=3/2 NOW CROSS MULTIPLY \n" ); document.write( "3(2X^2-8X+8)=2(3X-6) \n" ); document.write( "6X^2-24X+24=6X-12 \n" ); document.write( "6X^2-24X-6X+24+12=0 \n" ); document.write( "6X^2-30X+36=0 \n" ); document.write( "6(X^2-5X+6)=0 \n" ); document.write( "6(X-3)(X-2)=0 \n" ); document.write( "X-3=0 \n" ); document.write( "X=3 ANSWER. \n" ); document.write( "X-2=0 \n" ); document.write( "X=2 ANSWER.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |