document.write( "Question 345434: A salesperson's weekly paycheck is 25% less than her coworker's paycheck. The two paychecks total $655. Find the amount of each paycheck. (Round your answer to 2 decimal places.) \n" ); document.write( "
Algebra.Com's Answer #247043 by haileytucki(390)![]() ![]() You can put this solution on YOUR website! x+y=655_x=3y\r \n" ); document.write( "\n" ); document.write( "Move all terms containing variables to the left-hand side of the equation. \n" ); document.write( "x+y=655_x-3y=0\r \n" ); document.write( "\n" ); document.write( "Multiply the first equation by -1 to make the coefficients of x have opposite signs. \n" ); document.write( "-(x+y)=-(655)_x-3y=0\r \n" ); document.write( "\n" ); document.write( "Multiply -1 by the 655 inside the parentheses. \n" ); document.write( "-(x+y)=-655_x-3y=0\r \n" ); document.write( "\n" ); document.write( "Multiply -1 by each term inside the parentheses. \n" ); document.write( "-x-y=-655_x-3y=0\r \n" ); document.write( "\n" ); document.write( "Add the two equations together to eliminate x from the system. \n" ); document.write( " x-3y=0_- x-y=-655_ -4y=-655\r \n" ); document.write( "\n" ); document.write( "Divide each term in the equation by -4. \n" ); document.write( "y=(655)/(4)\r \n" ); document.write( "\n" ); document.write( "Substitute the value found for y into the original equation to solve for x. \n" ); document.write( "-x-((655)/(4))=-655\r \n" ); document.write( "\n" ); document.write( "Multiply -1 by each term inside the parentheses. \n" ); document.write( "-x-(655)/(4)=-655\r \n" ); document.write( "\n" ); document.write( "Move all terms not containing x to the right-hand side of the equation. \n" ); document.write( "-x=-(1965)/(4)\r \n" ); document.write( "\n" ); document.write( "Multiply -x by -1 to get x. \n" ); document.write( "x=-(1965)/(4)*-1\r \n" ); document.write( "\n" ); document.write( "Divide each term in the equation by -1. \n" ); document.write( "x=(1965)/(4)\r \n" ); document.write( "\n" ); document.write( "This is the final solution to the independent system of equations. \n" ); document.write( "y=(655)/(4)_x=(1965)/(4)\r \n" ); document.write( "\n" ); document.write( "(655)/(4)\r \n" ); document.write( "\n" ); document.write( "The approximate value of (655)/(4) is 163.75. \n" ); document.write( "$163.75\r \n" ); document.write( "\n" ); document.write( "(1965)/(4)\r \n" ); document.write( "\n" ); document.write( "The approximate value of (1965)/((4)) is 491.25. \n" ); document.write( "491.25\r \n" ); document.write( "\n" ); document.write( "491.25+163.75\r \n" ); document.write( "\n" ); document.write( "To check the answers of 163.75 AND 491.25:\r \n" ); document.write( "\n" ); document.write( "Add 163.75 to 491.25 to get 655. \n" ); document.write( "655 \n" ); document.write( " |