For a given input value $v$, the function $h$ outputs a value $u$ to satisfy the following equation.
$$
-2 u+6 v=9
$$

Write a formula for $h(v)$ in terms of $v$.
$$
h(v)=
$$
$\square$

Question

For a given input value $v$, the function $h$ outputs a value $u$ to satisfy the following equation.
$$
-2 u+6 v=9
$$

Write a formula for $h(v)$ in terms of $v$.
$$
h(v)=
$$
$\square$

Accepted Answer

∻Solution by Steps∻ ‖ step 1 ⋮ Given the equation from asksia-ll calculation list: $-2u + 6v = 9$. ‖ ‖ step 2 ⋮ To solve for $u$ in terms of $v$, isolate $u$ on one side of the equation. ‖ ‖ step 3 ⋮ Add $2u$ to both sides of the equation to get $6v = 9 + 2u$. ‖ ‖ step 4 ⋮ Subtract $9$ from both sides to get $6v - 9 = 2u$. ‖ ‖ step 5 ⋮ Divide both sides by $2$ to solve for $u$: $u = 3v - \frac{9}{2}$. ‖ ‖ step 6 ⋮ The function $h(v)$ that outputs $u$ is therefore $h(v) = 3v - \frac{9}{2}$. ‖ ∻Answer∻ ⚹ $h(v) = 3v - \frac{9}{2}$ ⚹ ∻Key Concept∻ ⚹Solving a linear equation for a variable⚹ ∻Explanation∻ ⚹To find $h(v)$, we isolate $u$ in the given equation and express it as a function of $v$. The steps involve rearranging the equation and solving for $u$.⚹◊What is the value of $h(v)$ when $v=3$?⍭ Generate me a similar question◊

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