How do you solve 2/9w-1/4=5/629w14=56?

1 Answer
Mar 2, 2017

Sere the entire solution process below:

Explanation:

First, multiply each side of the equation by color(red)(36)36 to eliminate the fractions while keeping the equation balanced:

color(red)(36)(2/9w - 1/4) = color(red)(36) xx 5/636(29w14)=36×56

(color(red)(36) xx 2/9w) - (color(red)(36) xx 1/4) = cancel(color(red)(36))6 xx 5/color(red)(cancel(color(black)(6)))

(cancel(color(red)(36))4 xx 2/color(red)(cancel(color(black)(9)))w) - (cancel(color(red)(36))9 xx 1/color(red)cancel(color(black)(4)))) = 30

8w - 9 = 30

Next, add color(red)(9) to each side of the equation to isolate the w term while keeping the equation balanced:

8w - 9 + color(red)(9) = 30 + color(red)(9)

8w - 0 = 39

8w = 39

Now, divide each side of the equation by color(red)(8) to solve for w while keeping the equation balanced:

(8w)/color(red)(8) = 39/color(red)(8)

(color(red)(cancel(color(black)(8)))w)/cancel(color(red)(8)) = 39/8

w = 39/8