document.write( "Question 325908: -x+y=5
\n" );
document.write( "x-5y=-9
\n" );
document.write( "Solving systems by elimination \n" );
document.write( "
Algebra.Com's Answer #233290 by Apathious(24)![]() ![]() You can put this solution on YOUR website! x+y=5_x-5y=-9\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)=-(5)_x-5y=-9\r \n" ); document.write( "\n" ); document.write( "Multiply -1 by the 5 inside the parentheses. \n" ); document.write( "-(x+y)=-5_x-5y=-9\r \n" ); document.write( "\n" ); document.write( "Multiply -1 by each term inside the parentheses. \n" ); document.write( "-x-y=-5_x-5y=-9\r \n" ); document.write( "\n" ); document.write( "Add the two equations together to eliminate x from the system. \n" ); document.write( " x-5y=-9_- x-y=-5_ -6y=-14\r \n" ); document.write( "\n" ); document.write( "Divide each term in the equation by -6. \n" ); document.write( "y=(7)/(3)\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-((7)/(3))=-5\r \n" ); document.write( "\n" ); document.write( "Multiply -1 by each term inside the parentheses. \n" ); document.write( "-x-(7)/(3)=-5\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=-(8)/(3)\r \n" ); document.write( "\n" ); document.write( "Multiply -x by -1 to get x. \n" ); document.write( "x=-(8)/(3)*-1\r \n" ); document.write( "\n" ); document.write( "Divide each term in the equation by -1. \n" ); document.write( "x=(8)/(3)\r \n" ); document.write( "\n" ); document.write( "This is the final solution to the independent system of equations. \n" ); document.write( "y=(7)/(3)_x=(8)/(3) \n" ); document.write( " |