document.write( "Question 147516: I had help with a previous question, and it was not a solvable problem. I need to see the steps on how the elimination process is done. Could you please help?
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document.write( "7r-4s=7
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document.write( "4r+7s=69
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document.write( "I need to solve using the elimination method. I think I need to solve for x, and use that answer in the 2nd equation. Your help is greatly apprecieated. \n" );
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Algebra.Com's Answer #107890 by Alan3354(69443) You can put this solution on YOUR website! 7r-4s=7 eqn 1 \n" ); document.write( "4r+7s=69 eqn 2 \n" ); document.write( "This is 2 equations in 2 unknowns, r and s. You can solve for both r and s. \n" ); document.write( "To eliminate one of the variables, you multiply both eqns by a number that will give the same coefficient for one of the variables. This is similar to finding the LCD, Least Common Denominator. \n" ); document.write( "To eliminate the r terms, multiply eqn 1 by 4 and eqn 2 by 7. \n" ); document.write( "---------- \n" ); document.write( "28r - 16s = 28 \n" ); document.write( "28r + 49s = 483 \n" ); document.write( "Subtract (2) from (1) \n" ); document.write( "0r - 65s = -455 \n" ); document.write( "s = 7 \n" ); document.write( "---------- \n" ); document.write( "Substitute s into either eqn to find r. \n" ); document.write( "7r -4*7 = 7 \n" ); document.write( "7r = 35 \n" ); document.write( "r = 5 \n" ); document.write( "---------- \n" ); document.write( "Check both eqns. \n" ); document.write( "7*5 - 4*7 = 7 so eqn 1 is good. \n" ); document.write( "4*5 + 7*7 = 69 so they both check.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |