SOLUTION: I need to know how to both solve this and teach my daughter how to solve this for her homework w+1/2 = w/4+2

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I need to know how to both solve this and teach my daughter how to solve this for her homework w+1/2 = w/4+2      Log On


   

Question 640548: I need to know how to both solve this and teach my daughter how to solve this for her homework w+1/2 = w/4+2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
w%2B1%2F2=w%2F4%2B2 Start with the given equation.


Multiply EVERY term by the LCD 4 to clear out the fractions.


4w%2B2=w%2B8 Multiply and simplify.


4w=w%2B8-2 Subtract 2 from both sides.


4w-w=8-2 Subtract w from both sides.


3w=8-2 Combine like terms on the left side.


3w=6 Combine like terms on the right side.


w=%286%29%2F%283%29 Divide both sides by 3 to isolate w.


w=2 Reduce.


----------------------------------------------------------------------

Answer:

So the solution is w=2