Question

Solve for w. 5w + 9z = 2z + 3w w = z w = z w = –2z w = –7z

Answer 1

5w + 9z = 2z + 3w

Subtract 2Z from each side:

5w + 7z = 3w

Subtract 5w from each side:

7z = -2w

Divide both sides by -2:

w = 7z / -2

Answer 2

We have been given an equation and we are asked to find value of w from our given equation.

`5w+9z=2z+3w`

First of all we will subtract 3w from both sides of our equation.

`5w-3w+9z=2z+3w-3w`

`5w-3w+9z=2z`

Now let us subtract 9z from both sides of our equation.

`5w-3w+9z-9z=2z-9z`

`5w-3w=2z-9z`

`(5-3)w=(2-9)z`

`2w=-7z`

Now let us divide both sides of our equation by 2.

`(2w)/(2)= (-7z)/(2)`

Upon cancelling 2 from left side of our equation we will get,

`w=(-7)/(2) z`

Therefore, we can see that
`w=(-7z)/(2)`.