document.write( "Question 177885: 2x+3y=35
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document.write( "5x+4y=7
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document.write( "please solve please thank you! \n" );
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Algebra.Com's Answer #132874 by madhan_math(34)![]() ![]() You can put this solution on YOUR website! 2x+3y=35 \n" ); document.write( "5x+4y=7 \n" ); document.write( "Ans: \n" ); document.write( " Given equations are 2x+3y=35-------(1) \n" ); document.write( " 5x+4y=7 -------(2) \n" ); document.write( " \n" ); document.write( " Equation (1)mutliplied with 4 and equation (2) mutliplied with 3. \n" ); document.write( " (Since if mutliply with these numbers we get the coefficient of y term as same and we neglect y to find the x value easily) \n" ); document.write( " \n" ); document.write( " (1) becomes, 8x + 12y = 140-----(3) \n" ); document.write( " 15x + 12y = 21-----(4)\r \n" ); document.write( "\n" ); document.write( "Now we subtract equation (3)with (4),We have \n" ); document.write( " \n" ); document.write( " -7x = 119 \n" ); document.write( "This implies, \n" ); document.write( " -x = 119/7 \n" ); document.write( " = 17 \n" ); document.write( " \n" ); document.write( " Therefore, x = -17 -------(*)\r \n" ); document.write( "\n" ); document.write( " Now we substitute this x value in any of the given equations. \n" ); document.write( " \n" ); document.write( " 2(-17)+3y = 35\r \n" ); document.write( "\n" ); document.write( " -34 + 3y = 35 \n" ); document.write( " 3y = 69 ( 35+34)\r \n" ); document.write( "\n" ); document.write( " y = 23 ------ (**)\r \n" ); document.write( "\n" ); document.write( "(*) and (**) are the solutions. \n" ); document.write( " \n" ); document.write( " i.e., x = -17 \n" ); document.write( " y = 23 (If u like the check the answer is correct, \n" ); document.write( " sub. this x and y values in any of the \n" ); document.write( " given equation you will get equality.) \n" ); document.write( " |