QuestionSolve for $j$ in the equation $3 - j = 4 + j$ .

Studdy Solution

STEP 1

Assumptions1. The given equation is $3-j=4+j$ . We are solving for the variable $j$

STEP 2

The first step in solving this equation is to get all terms involving $j$ on one side of the equation and the constants on the other side. We can do this by adding $j$ to both sides of the equation.
$-j+j=4+j+j$

STEP 3

implify both sides of the equation.
$3=+2j$

STEP 4

Next, we want to isolate the variable $j$ on one side of the equation. We can do this by subtracting4 from both sides of the equation.
$3-4=4-4+2j$

STEP 5

implify both sides of the equation.
$-1=2j$

STEP 6

Finally, we can solve for $j$ by dividing both sides of the equation by2.
$\frac{-1}{2}=\frac{2j}{2}$

STEP 7

implify both sides of the equation to get the final solution.
$j=-\frac{1}{2}$ So, the solution to the equation $3-j=4+j$ is $j=-\frac{1}{2}$ .

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QuestionSolve for $j$ in the equation $3 - j = 4 + j$ .

Studdy Solution

STEP 1

Assumptions1. The given equation is $3-j=4+j$ . We are solving for the variable $j$

STEP 2

The first step in solving this equation is to get all terms involving $j$ on one side of the equation and the constants on the other side. We can do this by adding $j$ to both sides of the equation.
$-j+j=4+j+j$

STEP 3

implify both sides of the equation.
$3=+2j$

STEP 4

Next, we want to isolate the variable $j$ on one side of the equation. We can do this by subtracting4 from both sides of the equation.
$3-4=4-4+2j$

STEP 5

implify both sides of the equation.
$-1=2j$

STEP 6

Finally, we can solve for $j$ by dividing both sides of the equation by2.
$\frac{-1}{2}=\frac{2j}{2}$

STEP 7

implify both sides of the equation to get the final solution.
$j=-\frac{1}{2}$ So, the solution to the equation $3-j=4+j$ is $j=-\frac{1}{2}$ .

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QuestionSolve for jjj in the equation 3−j=4+j3 - j = 4 + j3−j=4+j.

Studdy Solution

STEP 1

Assumptions1. The given equation is 3−j=4+j3-j=4+j3−j=4+j . We are solving for the variable jjj

STEP 2

The first step in solving this equation is to get all terms involving jjj on one side of the equation and the constants on the other side. We can do this by adding jjj to both sides of the equation.−j+j=4+j+j-j+j=4+j+j−j+j=4+j+j

STEP 3

implify both sides of the equation.3=+2j3=+2j3=+2j

STEP 4

Next, we want to isolate the variable jjj on one side of the equation. We can do this by subtracting4 from both sides of the equation.3−4=4−4+2j3-4=4-4+2j3−4=4−4+2j

STEP 5

implify both sides of the equation.−1=2j-1=2j−1=2j

STEP 6

Finally, we can solve for jjj by dividing both sides of the equation by2.−12=2j2\frac{-1}{2}=\frac{2j}{2}2−1​=22j​

STEP 7

implify both sides of the equation to get the final solution.j=−12j=-\frac{1}{2}j=−21​So, the solution to the equation 3−j=4+j3-j=4+j3−j=4+j is j=−12j=-\frac{1}{2}j=−21​.

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QuestionSolve for $j$ in the equation $3 - j = 4 + j$ .

Assumptions1. The given equation is $3-j=4+j$ . We are solving for the variable $j$

The first step in solving this equation is to get all terms involving $j$ on one side of the equation and the constants on the other side. We can do this by adding $j$ to both sides of the equation.
$-j+j=4+j+j$

implify both sides of the equation.
$3=+2j$

Next, we want to isolate the variable $j$ on one side of the equation. We can do this by subtracting4 from both sides of the equation.
$3-4=4-4+2j$

implify both sides of the equation.
$-1=2j$

Finally, we can solve for $j$ by dividing both sides of the equation by2.
$\frac{-1}{2}=\frac{2j}{2}$

implify both sides of the equation to get the final solution.
$j=-\frac{1}{2}$ So, the solution to the equation $3-j=4+j$ is $j=-\frac{1}{2}$ .