Respuesta :

Answer:

[tex]\Large \boxed{w=\frac{2u+9}{6} }[/tex]

Step-by-step explanation:

[tex]-2u+6w=9[/tex]

Adding 2u to both sides.

[tex]6w=9+2u[/tex]

Dividing both sides by 6.

[tex]\displaystyle w=\frac{2u+9}{6}[/tex]

Answer:

So we have this equation:

[tex]-2u + 6w = 9[/tex]

And we need to rearrange it to make the w an independent variable.

That means we need to solve the equation for w:

[tex]-2u + 6w = 9[/tex]

First thing we need to do is passing the [tex]-2u[/tex] to the right summing:

[tex]6w = 9 + 2u[/tex]

Next, we can pass the 6 (which is multiplying the w) to the right dividing:

[tex]w = \frac{9+2u}{6}[/tex]

we can also write it as this:

[tex]w = \frac{9}{6}+\frac{2u}{6}=\frac{3}{2}+\frac{u}{3}[/tex]

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