Question Solve for $u$ in the equation $3u = u + 8$ . Simplify the solution.

Studdy Solution

STEP 1

Assumptions
1. We have the equation $3u = u + 8$ .
2. We need to solve for the variable $u$ .

STEP 2

To solve for $u$ , we need to isolate the variable on one side of the equation. We can do this by subtracting $u$ from both sides of the equation.
$3u - u = u + 8 - u$

STEP 3

Simplify both sides of the equation by combining like terms.
$2u = 8$

STEP 4

Now, to solve for $u$ , divide both sides of the equation by the coefficient of $u$ , which is 2.
$\frac{2u}{2} = \frac{8}{2}$

STEP 5

Simplify the equation to find the value of $u$ .
$u = 4$
The solution for $u$ is $u = 4$ .

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Question Solve for $u$ in the equation $3u = u + 8$ . Simplify the solution.

Studdy Solution

STEP 1

Assumptions
1. We have the equation $3u = u + 8$ .
2. We need to solve for the variable $u$ .

STEP 2

To solve for $u$ , we need to isolate the variable on one side of the equation. We can do this by subtracting $u$ from both sides of the equation.
$3u - u = u + 8 - u$

STEP 3

Simplify both sides of the equation by combining like terms.
$2u = 8$

STEP 4

Now, to solve for $u$ , divide both sides of the equation by the coefficient of $u$ , which is 2.
$\frac{2u}{2} = \frac{8}{2}$

STEP 5

Simplify the equation to find the value of $u$ .
$u = 4$
The solution for $u$ is $u = 4$ .

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Question Solve for uuu in the equation 3u=u+83u = u + 83u=u+8. Simplify the solution.

Studdy Solution

STEP 1

Assumptions1. We have the equation 3u=u+83u = u + 83u=u+8.2. We need to solve for the variable uuu.

STEP 2

To solve for uuu, we need to isolate the variable on one side of the equation. We can do this by subtracting uuu from both sides of the equation.3u−u=u+8−u3u - u = u + 8 - u3u−u=u+8−u

STEP 3

Simplify both sides of the equation by combining like terms.2u=82u = 82u=8

STEP 4

Now, to solve for uuu, divide both sides of the equation by the coefficient of uuu, which is 2.2u2=82\frac{2u}{2} = \frac{8}{2}22u​=28​

STEP 5

Simplify the equation to find the value of uuu.u=4u = 4u=4The solution for uuu is u=4u = 4u=4.

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Question Solve for $u$ in the equation $3u = u + 8$ . Simplify the solution.

Assumptions
1. We have the equation $3u = u + 8$ .
2. We need to solve for the variable $u$ .

To solve for $u$ , we need to isolate the variable on one side of the equation. We can do this by subtracting $u$ from both sides of the equation.
$3u - u = u + 8 - u$

Simplify both sides of the equation by combining like terms.
$2u = 8$

Now, to solve for $u$ , divide both sides of the equation by the coefficient of $u$ , which is 2.
$\frac{2u}{2} = \frac{8}{2}$

Simplify the equation to find the value of $u$ .
$u = 4$
The solution for $u$ is $u = 4$ .