document.write( "Question 1161828: Which of the following would eliminate the variable on the left side of the given equation?\r
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document.write( "36 - 19w = -6w + 41\r
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Algebra.Com's Answer #785453 by Theo(13342)![]() ![]() You can put this solution on YOUR website! start with 3 - 19w = -6w + 41 \n" ); document.write( "add 19w to both sides of the equation to get: \n" ); document.write( "36 - 19w + 19w = -6w + 41 + 19w \n" ); document.write( "combine like terms to ge: \n" ); document.write( "36 = 13w + 41 \n" ); document.write( "you have just eliminated the variable from the left side of the equation. \n" ); document.write( "subtract 41 from both sides of the equation to get: \n" ); document.write( "36 - 41 = 13w + 41 - 41 \n" ); document.write( "combine like terms to get: \n" ); document.write( "-5 = 13w \n" ); document.write( "you have just eliminated all constants from the right side of the equqtion. \n" ); document.write( "divide both sides of the equation by 13 to get: \n" ); document.write( "-5/13 = 13w/13 \n" ); document.write( "simplify to get: \n" ); document.write( "-5/13 = w \n" ); document.write( "you have just solved for w. \n" ); document.write( "replace w with -5/13 and evaluate the original equation. \n" ); document.write( "you will get: \n" ); document.write( "36 - 19 * -5/13 = -6 * -5/13 + 41 \n" ); document.write( "multiply both sides of this equation by 13 to get: \n" ); document.write( "36*13 - 19 * -5 = -6 * -5 + 41 * 13 \n" ); document.write( "simplify to get: \n" ); document.write( "468 + 95 = 30 + 533 \n" ); document.write( "combine like terms to get: \n" ); document.write( "563 = 563 \n" ); document.write( "this confirms the solution is correct. \n" ); document.write( "this took it a lot further than you needed to go. \n" ); document.write( "your solution to the problem as stated would be: \n" ); document.write( "add 192 to both sides of the equation. \n" ); document.write( "that removes the variable from the left side of the equation and moves it to the right side of the equation. \n" ); document.write( " \n" ); document.write( " |