SOLUTION: -7(11 - 4w) - 15w = -27 - (50 - 13w) (hope I got this in the right topic)

Algebra ->  Linear-equations -> SOLUTION: -7(11 - 4w) - 15w = -27 - (50 - 13w) (hope I got this in the right topic)      Log On


   

Question 599314: -7(11 - 4w) - 15w = -27 - (50 - 13w)
(hope I got this in the right topic)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
-7%2811-4w%29-15w=-27-%2850-13w%29 Start with the given equation.


-77%2B28w-15w=-27-50%2B13w Distribute.


13w-77=-27-50%2B13w Combine like terms on the left side.


13w-77=13w-77 Combine like terms on the right side.


13w=13w-77%2B77 Add 77 to both sides.


13w-13w=-77%2B77 Subtract 13w from both sides.


0w=-77%2B77 Combine like terms on the left side.


0w=0 Combine like terms on the right side.


0=0 Simplify.


Since this equation is always true for any w value, this means w can equal any number.

So there are an infinite number of solutions.