For a given input value u, the function h outputs a value v to satisfy the following equation. 4u+8v=-3u+2v Write a formula for h(u) in terms of u.

Respuesta :

Answer:

h(u) = -7u/6

Step-by-step explanation:

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The formula for h(u) is [tex]h(u) = \frac{-7u}{6}[/tex]

We have for a given input value u, the function h outputs a value v to satisfy the following equation.

[tex]4u+8v=-3u+2v\\4u+3u=2v-8v\\7u=-6v\\v=\frac{-7u}{6}\\h(u)= \frac{-7u}{6}\\[/tex]

Therefore the formula for h(u) is [tex]h(u) = \frac{-7u}{6}[/tex]

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