54.0k views
3 votes
Rearrange the equation so u is the independent variable,
4u + 8w = -3u + 2w

W=

2 Answers

2 votes

Final answer:

To make w the independent variable in the equation 4u + 8w = -3u + 2w, combine like terms and solve for w to obtain the rearranged equation w = -7u/6.

Step-by-step explanation:

To rearrange the given equation 4u + 8w = -3u + 2w in terms of w as the independent variable, we need to isolate w on one side of the equation. We can do this by first combining like terms. We'll move all the terms involving u to one side and all the terms involving w to the other.

First, add 3u to both sides of the equation: 4u + 3u + 8w = 2w, which simplifies to 7u + 8w = 2w. Next, subtract 8w from both sides: 7u = 2w - 8w. Combining the w terms gives us 7u = -6w. Finally, to solve for w, divide both sides by -6: w = -7u/6. This gives us w in terms of u, making u the independent variable.

User Anstrong
by
5.3k points
1 vote

Answer:

w=-1.16u

Step-by-step explanation:

first you want to put the W's on one side and the U's on the other. we can do this by subtracting 4u from the left side and the right side making the equations 8w=-7u+2w.

next we want to subtract 2w from both sides making the equation 6w=-7u then we divide by 6 to get w=-1.16u

User Butters
by
5.2k points