document.write( "Question 1189285:
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document.write( "21x+7y=42
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document.write( "−5x+5y=10
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document.write( "what would x and y be? I am not sure how to solve these problems if the equations don't equal y. \n" );
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Algebra.Com's Answer #820604 by ikleyn(52788)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "21x+7y=42 \n" ); document.write( "−5x+5y=10 \n" ); document.write( " \n" ); document.write( "what would x and y be? I am not sure how to solve these problems if the equations don't equal y. \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( " 21x + 7y = 42 (1)\r\n" ); document.write( "\r\n" ); document.write( " −5x + 5y = 10 (2)\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "In the first equation, divide both sides by 7.\r\n" ); document.write( "\r\n" ); document.write( "In the second equation, divide both sides by 5. You will get an EQUIVALENT system of equations\r\n" ); document.write( "\r\n" ); document.write( " 3x + y = 6 (3)\r\n" ); document.write( "\r\n" ); document.write( " -x + y = 2. (4)\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "From equation (3), subtract equation (4). You will get then, after canceling the terms with \"y\"\r\n" ); document.write( "\r\n" ); document.write( " 3x - (-x) = 6 - 2\r\n" ); document.write( "\r\n" ); document.write( " 4x = 4\r\n" ); document.write( "\r\n" ); document.write( " x = 4/4 = 1.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Next, substitute x= 1 into equation (4). You will get\r\n" ); document.write( "\r\n" ); document.write( " -1 + y = 2,\r\n" ); document.write( "\r\n" ); document.write( "or y = 2 + 1 = 3.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "ANSWER. The solution to the given system opf equations is x= 1, y= 3.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "CHECK. Check it ON YOUR OWN, that the found values x= 1, y= 3 satisfy the given equations (1) and (2).\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved and explained.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "////////////\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "As I see from your post, the level of your knowledge is about zero on this subject.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "On solving systems of linear equations, see the lessons\r \n" ); document.write( "\n" ); document.write( " - Solution of the linear system of two equations in two unknowns by the Substitution method \r \n" ); document.write( "\n" ); document.write( " - Solution of the linear system of two equations in two unknowns by the Elimination method \r \n" ); document.write( "\n" ); document.write( "in this site.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |