Solved on Jan 23, 2024

Find the number of solutions to the equation $6-7j=-8j$ .

STEP 1

Assumptions
1. The equation given is $6 - 7j = -8j$ .
2. We are looking for the number of solutions to the equation.
3. The variable $j$ represents an unknown that we need to solve for.

STEP 2

Isolate the variable $j$ on one side of the equation by adding $7j$ to both sides of the equation.
$6 - 7j + 7j = -8j + 7j$

STEP 3

Simplify both sides of the equation.
$6 = -j$

STEP 4

Now, solve for $j$ by dividing both sides of the equation by $-1$ .
$j = \frac{6}{-1}$

STEP 5

Calculate the value of $j$ .
$j = -6$

STEP 6

Since we found a value for $j$ , the equation $6 - 7j = -8j$ has exactly one solution.
The equation has 1 solution.

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Find the number of solutions to the equation $6-7j=-8j$ .

STEP 1

Assumptions
1. The equation given is $6 - 7j = -8j$ .
2. We are looking for the number of solutions to the equation.
3. The variable $j$ represents an unknown that we need to solve for.

STEP 2

Isolate the variable $j$ on one side of the equation by adding $7j$ to both sides of the equation.
$6 - 7j + 7j = -8j + 7j$

STEP 3

Simplify both sides of the equation.
$6 = -j$

STEP 4

Now, solve for $j$ by dividing both sides of the equation by $-1$ .
$j = \frac{6}{-1}$

STEP 5

Calculate the value of $j$ .
$j = -6$

STEP 6

Since we found a value for $j$ , the equation $6 - 7j = -8j$ has exactly one solution.
The equation has 1 solution.

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Find the number of solutions to the equation 6−7j=−8j6-7j=-8j6−7j=−8j.

STEP 1

Assumptions1. The equation given is 6−7j=−8j6 - 7j = -8j6−7j=−8j.2. We are looking for the number of solutions to the equation.3. The variable jjj represents an unknown that we need to solve for.

STEP 2

Isolate the variable jjj on one side of the equation by adding 7j7j7j to both sides of the equation.6−7j+7j=−8j+7j6 - 7j + 7j = -8j + 7j6−7j+7j=−8j+7j

STEP 3

Simplify both sides of the equation.6=−j6 = -j6=−j

STEP 4

Now, solve for jjj by dividing both sides of the equation by −1-1−1.j=6−1j = \frac{6}{-1}j=−16​

STEP 5

Calculate the value of jjj.j=−6j = -6j=−6

STEP 6

Since we found a value for jjj, the equation 6−7j=−8j6 - 7j = -8j6−7j=−8j has exactly one solution.The equation has 1 solution.

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Find the number of solutions to the equation $6-7j=-8j$ .

Assumptions
1. The equation given is $6 - 7j = -8j$ .
2. We are looking for the number of solutions to the equation.
3. The variable $j$ represents an unknown that we need to solve for.

Isolate the variable $j$ on one side of the equation by adding $7j$ to both sides of the equation.
$6 - 7j + 7j = -8j + 7j$

Simplify both sides of the equation.
$6 = -j$

Now, solve for $j$ by dividing both sides of the equation by $-1$ .
$j = \frac{6}{-1}$

Calculate the value of $j$ .
$j = -6$

Since we found a value for $j$ , the equation $6 - 7j = -8j$ has exactly one solution.
The equation has 1 solution.