document.write( "Question 1210543: USE THE SUBSTITUTION METHOD TO SOLVE a-2b=a, 2a+3b=4 \n" ); document.write( "
Algebra.Com's Answer #853559 by ikleyn(53558) You can put this solution on YOUR website! . \n" ); document.write( "USE THE SUBSTITUTION METHOD TO SOLVE a-2b=a, 2a+3b=4 \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "Your starting equations are\r\n" ); document.write( "\r\n" ); document.write( " a - 2b = a, (1)\r\n" ); document.write( "\r\n" ); document.write( " 2a + 3b = 4. (2)\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "In equation (1), cancel the identical terms 'a' in both sides.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "You will get -2b = 0, which tells you that b = 0.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Substitute b= 0 into equation (2)\r\n" ); document.write( "\r\n" ); document.write( " 2a + 3*0 = 4,\r\n" ); document.write( "\r\n" ); document.write( " 2a = 4\r\n" ); document.write( "\r\n" ); document.write( " a = 4/2 = 2.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "ANSWER. a = 2, b = 0.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "You may check it on your own that (a,b) = (2,0) satisfies the given equations.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "At this point, the problem is solved completely. \n" ); document.write( "We found the unique solution to the given system of equations.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |