Question Solve the linear equation $\frac{u}{4} + -2 = 2$ for $u$ .

Studdy Solution

STEP 1

Assumptions
1. We are given the equation $\frac{u}{4} + (-2) = 2$ .
2. We need to solve for the variable $u$ .

STEP 2

First, we want to isolate the term containing $u$ on one side of the equation. To do this, we will add $2$ to both sides of the equation to cancel out the $-2$ on the left side.
$\frac{u}{4} + (-2) + 2 = 2 + 2$

STEP 3

Perform the addition on both sides of the equation.
$\frac{u}{4} = 4$

STEP 4

Now, to solve for $u$ , we need to eliminate the fraction. We can do this by multiplying both sides of the equation by $4$ .
$4 \times \frac{u}{4} = 4 \times 4$

STEP 5

The $4$ on the left side cancels out the denominator of the fraction, leaving us with $u$ on the left side.
$u = 4 \times 4$

STEP 6

Multiply $4$ by $4$ to find the value of $u$ .
$u = 16$
The solution to the equation is $u = 16$ .

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Question Solve the linear equation $\frac{u}{4} + -2 = 2$ for $u$ .

Studdy Solution

STEP 1

Assumptions
1. We are given the equation $\frac{u}{4} + (-2) = 2$ .
2. We need to solve for the variable $u$ .

STEP 2

First, we want to isolate the term containing $u$ on one side of the equation. To do this, we will add $2$ to both sides of the equation to cancel out the $-2$ on the left side.
$\frac{u}{4} + (-2) + 2 = 2 + 2$

STEP 3

Perform the addition on both sides of the equation.
$\frac{u}{4} = 4$

STEP 4

Now, to solve for $u$ , we need to eliminate the fraction. We can do this by multiplying both sides of the equation by $4$ .
$4 \times \frac{u}{4} = 4 \times 4$

STEP 5

The $4$ on the left side cancels out the denominator of the fraction, leaving us with $u$ on the left side.
$u = 4 \times 4$

STEP 6

Multiply $4$ by $4$ to find the value of $u$ .
$u = 16$
The solution to the equation is $u = 16$ .

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Question Solve the linear equation u4+−2=2\frac{u}{4} + -2 = 24u​+−2=2 for uuu.

Studdy Solution

STEP 1

Assumptions1. We are given the equation u4+(−2)=2\frac{u}{4} + (-2) = 24u​+(−2)=2.2. We need to solve for the variable uuu.

STEP 2

First, we want to isolate the term containing uuu on one side of the equation. To do this, we will add 222 to both sides of the equation to cancel out the −2-2−2 on the left side.u4+(−2)+2=2+2\frac{u}{4} + (-2) + 2 = 2 + 24u​+(−2)+2=2+2

STEP 3

Perform the addition on both sides of the equation.u4=4\frac{u}{4} = 44u​=4

STEP 4

Now, to solve for uuu, we need to eliminate the fraction. We can do this by multiplying both sides of the equation by 444.4×u4=4×44 \times \frac{u}{4} = 4 \times 44×4u​=4×4

STEP 5

The 444 on the left side cancels out the denominator of the fraction, leaving us with uuu on the left side.u=4×4u = 4 \times 4u=4×4

STEP 6

Multiply 444 by 444 to find the value of uuu.u=16u = 16u=16The solution to the equation is u=16u = 16u=16.

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Question Solve the linear equation $\frac{u}{4} + -2 = 2$ for $u$ .

Assumptions
1. We are given the equation $\frac{u}{4} + (-2) = 2$ .
2. We need to solve for the variable $u$ .

First, we want to isolate the term containing $u$ on one side of the equation. To do this, we will add $2$ to both sides of the equation to cancel out the $-2$ on the left side.
$\frac{u}{4} + (-2) + 2 = 2 + 2$

Perform the addition on both sides of the equation.
$\frac{u}{4} = 4$

Now, to solve for $u$ , we need to eliminate the fraction. We can do this by multiplying both sides of the equation by $4$ .
$4 \times \frac{u}{4} = 4 \times 4$

The $4$ on the left side cancels out the denominator of the fraction, leaving us with $u$ on the left side.
$u = 4 \times 4$

Multiply $4$ by $4$ to find the value of $u$ .
$u = 16$
The solution to the equation is $u = 16$ .