document.write( "Question 178231: 13) Solve 2/(x – 3) = 4/(x + 3) + 8/(x2 – 9)
\n" ); document.write( "
\n" ); document.write( "14) Solve 13/(y – 1) – 3 = 1/(y – 1)
\n" ); document.write( "
\n" ); document.write( "15) Solve (x + 3)/(x –1) = (x + 2)/(x – 3)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "thanks thanks thanks!!!
\n" ); document.write( " \n" ); document.write( "
Algebra.Com's Answer #133256 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
13) Solve
\n" ); document.write( "\"2%2F%28x-3%29\" = \"4%2F%28x%2B3%29\" + \"8%2F%28x%5E2-9%29\"
\n" ); document.write( "Note that the third denominator is the \"difference of squares\"; factors to:
\n" ); document.write( "\"2%2F%28x-3%29\" = \"4%2F%28x%2B3%29\" + \"8%2F%28%28x-3%29%28x%2B3%29%29\"
\n" ); document.write( "this is includes the other two denominators multiply equation by (x-3)(x+3)
\n" ); document.write( "2(x+3) = 4(x-3) + 8
\n" ); document.write( ":
\n" ); document.write( "2x + 6 = 4x - 12 + 8
\n" ); document.write( ":
\n" ); document.write( "2x + 6 = 4x - 4
\n" ); document.write( ":
\n" ); document.write( "2x - 4x = -4 - 6
\n" ); document.write( ":
\n" ); document.write( "-2x = -10
\n" ); document.write( ":
\n" ); document.write( "x = +5
\n" ); document.write( ":
\n" ); document.write( "always check solutions by substituting for the variable in the original equation
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "14) Solve
\n" ); document.write( "\"13%2F%28y-1%29\" – 3 = \"1%2F%28y-1%29\"
\n" ); document.write( "Multiply equation by (y-1), results:
\n" ); document.write( "13 - 3(y-1) = 1
\n" ); document.write( ":
\n" ); document.write( "13 - 3y + 3 = 1
\n" ); document.write( ";
\n" ); document.write( "-3y + 13 = 1
\n" ); document.write( ":
\n" ); document.write( "-3y = 1 - 13
\n" ); document.write( ":
\n" ); document.write( "-3y = -12
\n" ); document.write( ":
\n" ); document.write( "y = +4
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "15) Solve
\n" ); document.write( "\"%28x%2B3%29%2F%28x-1%29\" = \"%28x%2B2%29%2F%28x-3%29\"
\n" ); document.write( "Cross multiply and you have:
\n" ); document.write( "(x+3)*(x-3) = (x-1)*(x+2)
\n" ); document.write( "FOIL
\n" ); document.write( "x^2 - 9 = x^2 + x - 2
\n" ); document.write( ":
\n" ); document.write( "x^2 - x^2 - x = -2 + 9
\n" ); document.write( ":
\n" ); document.write( "-x = +7
\n" ); document.write( "which is
\n" ); document.write( "x = -7
\n" ); document.write( ":
\n" ); document.write( ": Be sure to check all these solutions in the original equation \n" ); document.write( "
\n" );