Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Feb 28, 2024

Solve the equation $-17=-2v-13$ and express the solution as an integer, simplified fraction, or decimal rounded to two decimal places.

STEP 1

Assumptions
1. We are given the linear equation $-17=-2v-13$ .
2. We need to solve for $v$ .
3. The solution should be expressed as an integer, simplified fraction, or decimal rounded to two decimal places.

STEP 2

First, we want to isolate the variable $v$ on one side of the equation. To do this, we can start by adding $13$ to both sides of the equation to eliminate the constant term on the right side.
$-17 + 13 = -2v - 13 + 13$

STEP 3

Perform the addition on both sides of the equation.
$-4 = -2v$

STEP 4

Now, we will divide both sides of the equation by $-2$ to solve for $v$ .
$\frac{-4}{-2} = \frac{-2v}{-2}$

STEP 5

Perform the division to find the value of $v$ .
$v = \frac{-4}{-2} = 2$
The solution to the equation is $v = 2$ .

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