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Question Solve the linear equation 10−6v=−10410-6v=-104 for the variable vv.

Studdy Solution

STEP 1

Assumptions
1. We have a linear equation in one variable, vv.
2. The equation is 10−6v=−10410 - 6v = -104.
3. We need to solve for vv.

STEP 2

First, we will isolate the term containing the variable vv on one side of the equation. To do this, we need to move the constant term without vv to the other side of the equation.
10−6v=−104⇒−6v=−104−1010 - 6v = -104 \Rightarrow -6v = -104 - 10

STEP 3

Now, subtract 1010 from both sides of the equation to isolate the term with vv.
−6v=−104−10-6v = -104 - 10

STEP 4

Simplify the right side of the equation by combining the constants.
−6v=−114-6v = -114

STEP 5

To solve for vv, we need to divide both sides of the equation by the coefficient of vv, which is −6-6.
v=−114−6v = \frac{-114}{-6}

STEP 6

Now, divide −114-114 by −6-6 to find the value of vv.
v=−114−6=19v = \frac{-114}{-6} = 19
The solution to the equation 10−6v=−10410 - 6v = -104 is v=19v = 19.

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