Question

Rearrange the equation so u is the the independent variable. 4u+8w=-3u+2w

Answer 1

Answer:

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$u=\frac{-6}{7}w$  OR $w=\frac{-7}{6} u$

Step-by-step explanation:

$4u+8w=-3u+2w$

$4u-(-3u)+8w=2w$

$4u+3u=2w-8w$

$7u=-6w$

$u=\frac{-6}{7}w$ OR $w=\frac{-7}{6} u$

Answer 2

Independent variable is the variable you change.

Dependent variable is the variable you measure that results/depends on the independent variable.

Since u is the independent variable, you need to set the equation equal to w by isolating/getting the variable "w' by itself in the equation:

[This is because u is the variable you change, and w is the variable you measure that depends on the independent variable(u)]

4u + 8w = -3u + 2w       Subtract 2w on both sides to get "w" on one side of the equation

4u + 6w = -3u        Subtract 4u on both sides

6w = -7u     Divide 6 on both sides to get "w" by itself

$w=\frac{-7u}{6}$