QuestionSolve the equation $3v - 3 = 4v + 8$ for $v$ and express your answer as an integer or simplified fraction.

Studdy Solution

STEP 1

Assumptions1. The equation is linear, which means there is only one variable and it is not raised to any power other than1. . The equation is in the form of $3v -3 =4v +8$ .

STEP 2

The goal is to isolate the variable $v$ on one side of the equation. We can start by subtracting $4v$ from both sides of the equation to get rid of $4v$ on the right side.
$v -4v =4v -4v +8$

STEP 3

implify the left side of the equation by combining like terms.
$-v =8$

STEP 4

Now, we need to get rid of the negative sign on the left side of the equation. We can do this by multiplying both sides of the equation by -1.
$-1 \times -v = -1 \times8$

STEP 5

implify both sides of the equation.
$v = -8$ The solution to the equation $3v -3 =4v +8$ is $v = -8$ .

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QuestionSolve the equation $3v - 3 = 4v + 8$ for $v$ and express your answer as an integer or simplified fraction.

Studdy Solution

STEP 1

Assumptions1. The equation is linear, which means there is only one variable and it is not raised to any power other than1. . The equation is in the form of $3v -3 =4v +8$ .

STEP 2

The goal is to isolate the variable $v$ on one side of the equation. We can start by subtracting $4v$ from both sides of the equation to get rid of $4v$ on the right side.
$v -4v =4v -4v +8$

STEP 3

implify the left side of the equation by combining like terms.
$-v =8$

STEP 4

Now, we need to get rid of the negative sign on the left side of the equation. We can do this by multiplying both sides of the equation by -1.
$-1 \times -v = -1 \times8$

STEP 5

implify both sides of the equation.
$v = -8$ The solution to the equation $3v -3 =4v +8$ is $v = -8$ .

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QuestionSolve the equation 3v−3=4v+83v - 3 = 4v + 83v−3=4v+8 for vvv and express your answer as an integer or simplified fraction.

Studdy Solution

STEP 1

Assumptions1. The equation is linear, which means there is only one variable and it is not raised to any power other than1. . The equation is in the form of 3v−3=4v+83v -3 =4v +83v−3=4v+8.

STEP 2

The goal is to isolate the variable vvv on one side of the equation. We can start by subtracting 4v4v4v from both sides of the equation to get rid of 4v4v4v on the right side.v−4v=4v−4v+8v -4v =4v -4v +8v−4v=4v−4v+8

STEP 3

implify the left side of the equation by combining like terms.−v=8-v =8−v=8

STEP 4

Now, we need to get rid of the negative sign on the left side of the equation. We can do this by multiplying both sides of the equation by -1.−1×−v=−1×8-1 \times -v = -1 \times8−1×−v=−1×8

STEP 5

implify both sides of the equation.v=−8v = -8v=−8The solution to the equation 3v−3=4v+83v -3 =4v +83v−3=4v+8 is v=−8v = -8v=−8.

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QuestionSolve the equation $3v - 3 = 4v + 8$ for $v$ and express your answer as an integer or simplified fraction.

Assumptions1. The equation is linear, which means there is only one variable and it is not raised to any power other than1. . The equation is in the form of $3v -3 =4v +8$ .

The goal is to isolate the variable $v$ on one side of the equation. We can start by subtracting $4v$ from both sides of the equation to get rid of $4v$ on the right side.
$v -4v =4v -4v +8$

implify the left side of the equation by combining like terms.
$-v =8$

Now, we need to get rid of the negative sign on the left side of the equation. We can do this by multiplying both sides of the equation by -1.
$-1 \times -v = -1 \times8$

implify both sides of the equation.
$v = -8$ The solution to the equation $3v -3 =4v +8$ is $v = -8$ .