Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Feb 28, 2024

Find the value of $w$ that satisfies the equation $-9=-8w+7$ . 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 $-9=-8w+7$ .
2. We need to solve for $w$ .
3. The solution should be expressed as an integer, simplified fraction, or decimal rounded to two decimal places.

STEP 2

To isolate the variable $w$ , we first need to move the constant term on the right side of the equation to the left side. We do this by subtracting 7 from both sides of the equation.
$-9 - 7 = -8w + 7 - 7$

STEP 3

Perform the subtraction on both sides of the equation.
$-16 = -8w$

STEP 4

Now, we need to isolate $w$ by dividing both sides of the equation by the coefficient of $w$ , which is $-8$ .
$\frac{-16}{-8} = \frac{-8w}{-8}$

STEP 5

Perform the division to solve for $w$ .
$w = \frac{-16}{-8} = 2$
The solution to the equation is $w=2$ .

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