document.write( "Question 478503: Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this.-x + 2y = 8 and -x + 10y = 48 \n" ); document.write( "
Algebra.Com's Answer #327864 by cleomenius(959) You can put this solution on YOUR website! -x + 2y = 8 \n" ); document.write( "-x + 10y = 48\r \n" ); document.write( "\n" ); document.write( "I multiplied equation 1 by -1.\r \n" ); document.write( "\n" ); document.write( "x - 2y = -8\r \n" ); document.write( "\n" ); document.write( "then add to equation 2.\r \n" ); document.write( "\n" ); document.write( "x - 2y = -8 \n" ); document.write( "-x + 10y = 48\r \n" ); document.write( "\n" ); document.write( "Next we add the two equations to obtain:\r \n" ); document.write( "\n" ); document.write( "8y = 40 \n" ); document.write( "y = 5\r \n" ); document.write( "\n" ); document.write( "Now we can solve for x in equation one. \n" ); document.write( "-x + 2(5) = 8 \n" ); document.write( "x = 2\r \n" ); document.write( "\n" ); document.write( "So x = 2 and y = 5.\r \n" ); document.write( "\n" ); document.write( "We can check this in equation 2.\r \n" ); document.write( "\n" ); document.write( "-(2) + (10)(5) = 48,\r \n" ); document.write( "\n" ); document.write( "Cleomenius.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |