Answer:
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[tex]u=\frac{-6}{7}w[/tex] OR [tex]w=\frac{-7}{6} u[/tex]
Step-by-step explanation:
[tex]4u+8w=-3u+2w[/tex]
[tex]4u-(-3u)+8w=2w[/tex]
[tex]4u+3u=2w-8w[/tex]
[tex]7u=-6w[/tex]
[tex]u=\frac{-6}{7}w[/tex] OR [tex]w=\frac{-7}{6} u[/tex]
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
[tex]w=\frac{-7u}{6}[/tex]
