document.write( "Question 158342: Solve the following using the elimination method.\r
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document.write( "5y - 3x = -20\r
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document.write( "3x - 3y = 14\r
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document.write( "I'm having trouble with these methods. So if you could show me how you got the numbers you got and what you did exactly, that'd be great. \n" );
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Algebra.Com's Answer #116715 by atique.ah(27)![]() ![]() ![]() You can put this solution on YOUR website! Solve the following using the elimination method.\r \n" ); document.write( "\n" ); document.write( "5y - 3x = -20..........equation (1)\r \n" ); document.write( "\n" ); document.write( "3x - 3y = 14...........equation (2)\r \n" ); document.write( "\n" ); document.write( "solution:\r \n" ); document.write( "\n" ); document.write( "first arrange te equation in the standard form(ax+by=c), ie x then y = and constant\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-3x + 5y = -20 (arranging equation 1) \n" ); document.write( " 3x - 3y = 14 (equation 2)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if you look at the two equations carefully you will notice there is -3x in equation 1 and 3x in equation 2 so if we add the two equations 3x and -3x will cancell each oter and we will be left with only \"y\". so let us do it\r \n" ); document.write( "\n" ); document.write( "5y - 3y = -20 +14 \n" ); document.write( "2y = -6 \n" ); document.write( "y = -3\r \n" ); document.write( "\n" ); document.write( "substitute this value in any equation and get te value of y. let us use equation 2\r \n" ); document.write( "\n" ); document.write( "3x - 3(-3)=14 \n" ); document.write( "3x + 9 = 14 \n" ); document.write( "3x = 14 - 9 \n" ); document.write( "3x = 5 \n" ); document.write( "x = 5/3\r \n" ); document.write( "\n" ); document.write( "Answer x = 5/3 and y = -3 \n" ); document.write( " \n" ); document.write( " |