document.write( "Question 268747: (2 over x) plus (1 over x) equals 3 \n" ); document.write( "
Algebra.Com's Answer #197108 by persian52(161)![]() ![]() You can put this solution on YOUR website! (2)/(x)+(1)/(x)=3\r \n" ); document.write( "\n" ); document.write( "Find the LCD (least common denominator) of (2)/(x)+(1)/(x)+3. \n" ); document.write( "Least common denominator: x\r \n" ); document.write( "\n" ); document.write( "Multiply each term in the equation by x in order to remove all the denominators from the equation. \n" ); document.write( "(2)/(x)*x+(1)/(x)*x=3*x\r \n" ); document.write( "\n" ); document.write( "Simplify the left-hand side of the equation by canceling the common terms. \n" ); document.write( "3=3*x\r \n" ); document.write( "\n" ); document.write( "Multiply 3 by x to get 3x. \n" ); document.write( "3=3x\r \n" ); document.write( "\n" ); document.write( "Since x is on the right-hand side of the equation, switch the sides so it is on the left-hand side of the equation. \n" ); document.write( "3x=3\r \n" ); document.write( "\n" ); document.write( "Divide each term in the equation by 3. \n" ); document.write( "(3x)/(3)=(3)/(3)\r \n" ); document.write( "\n" ); document.write( "Simplify the left-hand side of the equation by canceling the common terms. \n" ); document.write( "x=(3)/(3)\r \n" ); document.write( "\n" ); document.write( "Simplify the right-hand side of the equation by simplifying each term. \n" ); document.write( "Answer: x=1 \n" ); document.write( " |