QuestionSolve for $u$ in the equation: $12 - \frac{1}{3} u = 2$ .

Studdy Solution

STEP 1

Assumptions1. The given equation is $12-\frac{1}{3} u=$

STEP 2

First, we need to isolate the term with the variable $u$ . We can do this by subtracting12 from both sides of the equation.
$12-\frac{1}{} u -12 =2 -12$

STEP 3

implify the equation.
$-\frac{1}{3} u =2 -12$

STEP 4

Calculate the right side of the equation.
$-\frac{1}{3} u = -10$

STEP 5

Now, to solve for $u$ , we need to get rid of the fraction. We can do this by multiplying both sides of the equation by $-3$ .
$-3 \times -\frac{1}{3} u = -3 \times -10$

STEP 6

implify the equation.
$u = -3 \times -10$

STEP 7

Calculate the value of $u$ .
$u =30$ So, the solution to the equation $12-\frac{1}{3} u=2$ is $u =30$ .

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QuestionSolve for $u$ in the equation: $12 - \frac{1}{3} u = 2$ .

Studdy Solution

STEP 1

Assumptions1. The given equation is $12-\frac{1}{3} u=$

STEP 2

First, we need to isolate the term with the variable $u$ . We can do this by subtracting12 from both sides of the equation.
$12-\frac{1}{} u -12 =2 -12$

STEP 3

implify the equation.
$-\frac{1}{3} u =2 -12$

STEP 4

Calculate the right side of the equation.
$-\frac{1}{3} u = -10$

STEP 5

Now, to solve for $u$ , we need to get rid of the fraction. We can do this by multiplying both sides of the equation by $-3$ .
$-3 \times -\frac{1}{3} u = -3 \times -10$

STEP 6

implify the equation.
$u = -3 \times -10$

STEP 7

Calculate the value of $u$ .
$u =30$ So, the solution to the equation $12-\frac{1}{3} u=2$ is $u =30$ .

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QuestionSolve for uuu in the equation: 12−13u=212 - \frac{1}{3} u = 212−31​u=2.

Studdy Solution

STEP 1

Assumptions1. The given equation is 12−13u=12-\frac{1}{3} u=12−31​u=

STEP 2

First, we need to isolate the term with the variable uuu. We can do this by subtracting12 from both sides of the equation.12−1u−12=2−1212-\frac{1}{} u -12 =2 -1212−1​u−12=2−12

STEP 3

implify the equation.−13u=2−12-\frac{1}{3} u =2 -12−31​u=2−12

STEP 4

Calculate the right side of the equation.−13u=−10-\frac{1}{3} u = -10−31​u=−10

STEP 5

Now, to solve for uuu, we need to get rid of the fraction. We can do this by multiplying both sides of the equation by −3-3−3.−3×−13u=−3×−10-3 \times -\frac{1}{3} u = -3 \times -10−3×−31​u=−3×−10

STEP 6

implify the equation.u=−3×−10u = -3 \times -10u=−3×−10

STEP 7

Calculate the value of uuu.u=30u =30u=30So, the solution to the equation 12−13u=212-\frac{1}{3} u=212−31​u=2 is u=30u =30u=30.

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QuestionSolve for $u$ in the equation: $12 - \frac{1}{3} u = 2$ .

Assumptions1. The given equation is $12-\frac{1}{3} u=$

First, we need to isolate the term with the variable $u$ . We can do this by subtracting12 from both sides of the equation.
$12-\frac{1}{} u -12 =2 -12$

implify the equation.
$-\frac{1}{3} u =2 -12$

Calculate the right side of the equation.
$-\frac{1}{3} u = -10$

Now, to solve for $u$ , we need to get rid of the fraction. We can do this by multiplying both sides of the equation by $-3$ .
$-3 \times -\frac{1}{3} u = -3 \times -10$

implify the equation.
$u = -3 \times -10$

Calculate the value of $u$ .
$u =30$ So, the solution to the equation $12-\frac{1}{3} u=2$ is $u =30$ .