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]