document.write( "Question 92703: solve the equation w+(3)=9 \n" ); document.write( "
Algebra.Com's Answer #67480 by bucky(2189)![]() ![]() ![]() You can put this solution on YOUR website! Given the equation: \n" ); document.write( ". \n" ); document.write( "w + (3) = 9 \n" ); document.write( ". \n" ); document.write( "To solve this equation means to find the value of w that will make both sides of this \n" ); document.write( "equation equal to each other. \n" ); document.write( ". \n" ); document.write( "For this equation you can ask yourself, \"What number when I add three to it will equal 9?\" \n" ); document.write( ". \n" ); document.write( "In asking this question you may be able to do the math in your head to come up with the \n" ); document.write( "answer that if w was 6 you could add 3 to it and the answer would be 9, the same as the \n" ); document.write( "right side of the equation. \n" ); document.write( ". \n" ); document.write( "But to solve the equation using a more general approach we need to get w by itself on \n" ); document.write( "one side of the equation and everything else on the other side. Then we will know what \n" ); document.write( "w is equal to. \n" ); document.write( ". \n" ); document.write( "So what we need to do in this problem is to get rid of the + 3 on the left side so that \n" ); document.write( "we just have w by itself. We can do this by subtracting 3 from the left side. But in \n" ); document.write( "equations, whatever we do to one side, we also have to do to the other side to keep the \n" ); document.write( "equation in balance. So if we subtract 3 from one side we must also subtract 3 from the \n" ); document.write( "other side. When we subtract 3 from the left side and from the right side, the equation \n" ); document.write( "becomes: \n" ); document.write( ". \n" ); document.write( "w + 3 - 3 = 9 - 3 \n" ); document.write( ". \n" ); document.write( "Notice on the left side that the + 3 and the - 3 cancel each other out by becoming \n" ); document.write( "zero. Therefore, on the left side we are just left with w. On the right side the \n" ); document.write( "subtraction of 3 from 9 results in 6. And what we are left with is just: \n" ); document.write( ". \n" ); document.write( "w = 6 \n" ); document.write( ". \n" ); document.write( "And that's the answer to the problem. You can check the answer by returning to the original \n" ); document.write( "problem of: \n" ); document.write( ". \n" ); document.write( "w + 3 = 9 \n" ); document.write( ". \n" ); document.write( "and replace w with your answer of 6 to get: \n" ); document.write( ". \n" ); document.write( "6 + 3 = 9 \n" ); document.write( ". \n" ); document.write( "This obviously is true because 6 + 3 does equal 9. So our answer is correct. \n" ); document.write( ". \n" ); document.write( "One additional comment. Don't let the parentheses in +(3) confuse you. Since they are \n" ); document.write( "preceded by a + sign, you can just erase the parentheses to get + 3. If there were a \n" ); document.write( "-(3) then in removing the parentheses you would get - 3. \n" ); document.write( ". \n" ); document.write( "Hope this helps you to understand the problem. \n" ); document.write( ". \n" ); document.write( " |