To solve the equation \(-0.4 = \dfrac{g}{3} - 0.9\), follow these steps:

1. **Add 0.9** to both sides to isolate the fraction involving \( g \):
   \[
   -0.4 + 0.9 = \dfrac{g}{3}
   \]
   \[
   0.5 = \dfrac{g}{3}
   \]

2. **Multiply both sides** by 3 to solve for \( g \):
   \[
   0.5 \times 3 = g
   \]
   \[
   g = 1.5
   \]

So, the solution is \( g = 1.5 \).

Would you like further details or have any questions?

---

Here are some related questions you might find interesting:

1. How would the solution change if the equation was \(-0.4 = \dfrac{g}{5} - 0.9\)?
2. What if the initial equation had a positive constant on the left side instead of \(-0.4\)?
3. Can you solve the equation if the coefficient of \( g \) was different?
4. How does solving this equation compare to solving inequalities?
5. What would the equation look like if you started with \( g = 1.5 \) and went in reverse?

**Tip:** When solving equations with fractions, always multiply by the denominator to eliminate the fraction early in the process.

Learn how to solve the equation -0.4 = g/3 - 0.9 with a step-by-step solution. This problem covers key algebraic concepts, including equations involving fractions and basic arithmetic operations. Suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation