document.write( "Question 142284: Use elimination to solve the system of equations.
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document.write( "4x-9y=15
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document.write( "3x-4y=14 \n" );
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Algebra.Com's Answer #107789 by aswathytony(47)![]() ![]() ![]() You can put this solution on YOUR website! 4x - 9y = 15 ...........(1) \n" ); document.write( "3x - 4y = 14 ..........(2) \n" ); document.write( "elimination by equating coefficient method, make coefficient of any of the variable same & equating for the other.\r \n" ); document.write( "\n" ); document.write( "i.e coefficient of x made equal by 3 x (1) & 4 x (2)\r \n" ); document.write( "\n" ); document.write( "(1) x 3 \n" ); document.write( " 4x * 3 - 9y * 3 = 15 *3 \n" ); document.write( " 12x - 27 y = 45 ...............(3) \n" ); document.write( "(2)x 4 \n" ); document.write( " 3x * 4 - 4y *4 = 14* 4 \n" ); document.write( " 12x - 16y = 56 ................(4)\r \n" ); document.write( "\n" ); document.write( "in eq: (3) & (4) coefficient of x are same , so eliminate it by subtracting (3) & (4)\r \n" ); document.write( "\n" ); document.write( " 12x -27y = 45 ........(3) \n" ); document.write( " 12x - 16y = 56 ...........(4)\r \n" ); document.write( "\n" ); document.write( "(3) -(4) \n" ); document.write( " 0 - 11 y = -11 \r \n" ); document.write( "\n" ); document.write( " -11y = -11 \r \n" ); document.write( "\n" ); document.write( " y = -11 /- 11 \n" ); document.write( " = 1.\r \n" ); document.write( "\n" ); document.write( "put y=1 in (1) & find x \n" ); document.write( " 4x -9y = 15 \n" ); document.write( " 4x - 9 *1 = 15 \n" ); document.write( " 4x -9 = 15 \n" ); document.write( " 4x= 15+9 = 24 \n" ); document.write( " x = 24/ 4 = 6 .\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |