To transpose the equation \(4y + 3x - 6 = 0\), we want to solve for \(y\) in terms of \(x\). Here's the step-by-step process:

1. **Start with the given equation:**

   \[
   4y + 3x - 6 = 0
   \]

2. **Isolate the \(y\)-term on one side:**

   \[
   4y = -3x + 6
   \]

3. **Solve for \(y\) by dividing each term by 4:**

   \[
   y = \frac{-3x + 6}{4}
   \]

4. **Simplify the equation if possible:**

   \[
   y = -\frac{3}{4}x + \frac{6}{4}
   \]

5. **Simplify further:**

   \[
   y = -\frac{3}{4}x + \frac{3}{2}
   \]

So, the equation solved for \(y\) is:

\[
y = -\frac{3}{4}x + \frac{3}{2}
\]

Would you like more details or have any questions?

---

Here are 5 related questions:

1. How do you graph the equation \(y = -\frac{3}{4}x + \frac{3}{2}\)?
2. What is the slope and y-intercept of the equation \(y = -\frac{3}{4}x + \frac{3}{2}\)?
3. How would the equation change if you wanted to solve for \(x\) instead of \(y\)?
4. What does the equation \(y = -\frac{3}{4}x + \frac{3}{2}\) represent in a coordinate plane?
5. How can this linear equation be used to find the x-intercept and y-intercept?

**Tip:** When transposing equations, always aim to isolate the variable you need on one side of the equation by performing inverse operations systematically.

Learn how to transpose the equation 4y + 3x - 6 = 0 to solve for y in terms of x with a detailed step-by-step solution. This problem covers key algebraic concepts such as linear equations and equation solving. 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