To solve the equation \( 3x - 10 = 4y - 6 \), we can aim to express either \( x \) or \( y \) in terms of the other variable. Let’s solve for \( x \) in terms of \( y \).

### Steps:
1. Start with the equation:
   \[
   3x - 10 = 4y - 6
   \]
2. Add 10 to both sides to eliminate the constant on the left:
   \[
   3x = 4y - 6 + 10
   \]
   Simplifying the right-hand side:
   \[
   3x = 4y + 4
   \]
3. Now, divide both sides by 3 to isolate \( x \):
   \[
   x = \frac{4y + 4}{3}
   \]
   
This is the solution for \( x \) in terms of \( y \):
\[
x = \frac{4y + 4}{3}
\]

Would you like to solve for \( y \) in terms of \( x \) or need further details?

### Related questions:
1. How would you solve \( 4y - 6 = 2x + 5 \) for \( y \)?
2. Can you find the value of \( x \) when \( y = 2 \) in the equation \( 3x - 10 = 4y - 6 \)?
3. How can you graph the relationship between \( x \) and \( y \) from this equation?
4. If \( x = 5 \), what is the value of \( y \)?
5. How can this equation be rewritten as a linear equation in the form \( y = mx + b \)?

### Tip:
Always check your work by plugging values of \( x \) and \( y \) back into the original equation to verify the solution.

This page provides a step-by-step solution to the linear equation 3x - 10 = 4y - 6, demonstrating how to solve for x in terms of y. Explore key algebraic concepts such as linear equations and properties of equality, making it suitable for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation