document.write( "Question 102022: Solve the formula for the specified variable.
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document.write( "16) P = 2L + 2W for L \n" );
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Algebra.Com's Answer #74164 by bucky(2189)![]() ![]() ![]() You can put this solution on YOUR website! Given: \n" ); document.write( ". \n" ); document.write( "P = 2L + 2W \n" ); document.write( ". \n" ); document.write( "This is to be solved for L \n" ); document.write( ". \n" ); document.write( "To do this, you must first get the term containing L separated on one side of the equation and \n" ); document.write( "everything else on the other side of the equation. Notice that on the right side of the \n" ); document.write( "given equation that the term containing L is not by itself. There is also a term that contains \n" ); document.write( "the variable W. We need to get rid of that term with the W. You can do this by subtracting \n" ); document.write( "2W from the right side. But whenever you do something such as this to one side of the equation \n" ); document.write( "you must also do the same thing to the other side of the equation to keep the equation in \n" ); document.write( "balance. \n" ); document.write( ". \n" ); document.write( "So in this problem if we subtract 2W from the right side, we must also subtract 2W from the \n" ); document.write( "left side. By subtracting 2W from the right side, we make the 2W disappear from the right \n" ); document.write( "side. And by subtracting 2W from the left side, we make a -2W appear on the left side. Therefore, \n" ); document.write( "the subtraction of 2W from both sides results in the given equation becoming: \n" ); document.write( ". \n" ); document.write( "P - 2W = 2L \n" ); document.write( ". \n" ); document.write( "This tells us what two times L equals ... it equals P - 2W. Since we need to know what \n" ); document.write( "L is we can do that by dividing the right side by 2. That will make the right side become \n" ); document.write( "L. But since we divide the right side by 2 we also must divide the entire left side (all \n" ); document.write( "terms) by 2. This leads to the answer: \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "If you prefer, you can transpose this equation ... put the left side on the right side \n" ); document.write( "and put the right side on the left side ... and you can do this without any mathematical \n" ); document.write( "changes. This puts the equation into a little more \"standard\" form with the variable that \n" ); document.write( "you have solved for on the left side, and all the other variables on the right side. In \n" ); document.write( "this form the answer is: \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "Hope this helps you to get the basic idea of how to solve an equation for one of the variables \n" ); document.write( "in terms of the other variables. \n" ); document.write( ". \n" ); document.write( " |