document.write( "Question 90853: What is the answer for thes:
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document.write( "2+x/7=y/4
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document.write( "3+y/5=x/3 \n" );
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Algebra.Com's Answer #66020 by chitra(359)![]() ![]() You can put this solution on YOUR website! The given equations are: \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Taking LCM, this can be written as:\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now cross multiplying and writing x and y terms on one side, we get: \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "56 + 4x = 7y ----------(1)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "45 - 5x = - 3y ---------(2) \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now lets solve both the equations simultaneously, Multiply eqn (1) by 3 and (2) by 7. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "We get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "168 + 12x = 21y\r \n" ); document.write( "\n" ); document.write( "315 - 35x = - 21y\r \n" ); document.write( "\n" ); document.write( "on solving them we get -23x = -483\r \n" ); document.write( "\n" ); document.write( "==> x = 21\r \n" ); document.write( "\n" ); document.write( "substituting the value of x we get the value of y\r \n" ); document.write( "\n" ); document.write( "==> y = 20\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "thus the solution\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |