document.write( "Question 1167524: Given a rational equation below find some strategies you could try for solving it ×+1/2×=10 \n" ); document.write( "
Algebra.Com's Answer #792126 by Theo(13342)\"\" \"About 
You can put this solution on YOUR website!
the equation is x + 1/2 * x = 10\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "strategy is as follows:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "place all values of x under a common denominator.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "x + 1/2 * x = 10 becomes 2/2 * x + 1/2 * x = 10\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "combine like terms.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "2/2 * x + 1/2 * x = 10 becomes 3/2 * x = 10\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "multiply both sides of the equation by the reciprocal of the fraction.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "3/2 * x = 10 becomes 2/3 * 3/2 * x = 2/3 * 10\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "simplify the equation by performing the operations indicated.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "2/3 * 3/2 * x = 2/3 * 10 becomes x = 20/3\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "confirm the solution is correct by replacing the value of x with its value.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "x + 1/2 * x = 10 becomes 20/3 + 1/2 * 20/3 = 10\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "simplify the equation further by performing the operations indicated.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "20/3 + 1/2 * 20/3 = 10 becomes 20/3 + 10/3 = 10\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "combine like terms.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "20/3 + 10/3 = 10 becomes 30/3 = 10\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "perform a final simplification.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "30/3 = 10 becomes 10 = 10\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "test to see if the equation is true.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "10 = 10 is true.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "report the solution.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "x = 20/3\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );