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
We have been given an equation and we are asked to find value of w from our given equation.
[tex]5w+9z=2z+3w[/tex]
First of all we will subtract 3w from both sides of our equation.
[tex]5w-3w+9z=2z+3w-3w[/tex]
[tex]5w-3w+9z=2z[/tex]
Now let us subtract 9z from both sides of our equation.
[tex]5w-3w+9z-9z=2z-9z[/tex]
[tex]5w-3w=2z-9z[/tex]
[tex](5-3)w=(2-9)z[/tex]
[tex]2w=-7z[/tex]
Now let us divide both sides of our equation by 2.
[tex]\frac{2w}{2}= \frac{-7z}{2}[/tex]
Upon cancelling 2 from left side of our equation we will get,
[tex]w=\frac{-7}{2} z[/tex]
Therefore, we can see that [tex]w=\frac{-7z}{2} [/tex].
