document.write( "Question 1028181: Translate this situation into a system of equation of the first degree in two clear variables: To complete a team project, Yvon spent only 3/4 of the time that Peter spent on the project. The difference between the number of hours each of them worked is 20. \n" ); document.write( "
Algebra.Com's Answer #643341 by Theo(13342)![]() ![]() You can put this solution on YOUR website! \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "let x = the number of hours that yvonne worked. \n" ); document.write( "let y = the number of hours that peter worked.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you get x = 3/4 * y \n" ); document.write( "y - x = 20\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "those are your two equations that you want to solve simultaneously.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "replace x with 3/4 * y in the second equation to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y - 3/4 * y = 20\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "combine like terms to get 1/4 * y = 20\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "solve for y to get y = 80.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "in the equation of y - x = 20, replace y with 80 to get 80 - x = 20 and solve for x to get x = 60.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you get y = 80 and x = 60\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y is the number of hours that peter worked. \n" ); document.write( "x is the number of hours that yvonne worked.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 3/4 * y \n" ); document.write( "y - x = 20\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the requirements of the problem were satisfied and that's your solution.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |