To solve the equation \(40 - w = 155\), follow these steps:

1. Start by isolating \(w\). Subtract 40 from both sides:

\[
-w = 155 - 40
\]

\[
-w = 115
\]

2. Now, to solve for \(w\), multiply both sides by \(-1\):

\[
w = -115
\]

The solution is \(w = -115\).

Would you like further details on any part of the process?

Here are 5 related questions you could explore:
1. What happens if you change the equation to \(40 - w = 200\)?
2. How would the solution change if the equation was \(40 + w = 155\)?
3. Can you express this equation graphically?
4. How do you solve for \(w\) if the equation is \(40 - 2w = 155\)?
5. What if the equation included fractions, such as \(40 - \frac{w}{2} = 155\)?

**Tip**: Always check your solution by substituting it back into the original equation!

Learn how to solve the linear equation 40 - w = 155 with a detailed, step-by-step guide. This problem teaches key algebraic techniques like isolating variables and using the properties of equality. Ideal for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation