To solve the equation \( 9x - y = 45 \) for \( y \), follow these steps:

1. Start with the equation:
   \[
   9x - y = 45
   \]
   
2. Subtract \( 9x \) from both sides to isolate \( -y \) on the left:
   \[
   -y = 45 - 9x
   \]
   
3. Multiply both sides of the equation by \( -1 \) to solve for \( y \):
   \[
   y = -45 + 9x
   \]
   
Or rearranged:
   \[
   y = 9x - 45
   \]

Thus, \( y = 9x - 45 \).

Would you like a more detailed explanation, or do you have any other questions?

Here are 5 related questions for practice:
1. Solve \( 7x - y = 21 \) for \( y \).
2. Solve \( 5x - y = 15 \) for \( y \).
3. What is the value of \( y \) when \( x = 3 \) in the equation \( y = 9x - 45 \)?
4. Convert \( 3x - 2y = 12 \) to the form \( y = mx + b \).
5. Solve \( 8x - y = 32 \) for \( y \).

**Tip:** Always check the signs when solving for a variable, especially when multiplying or dividing by negative numbers!

Learn how to solve the linear equation 9x - y = 45 for y in this step-by-step guide. Understand the process of isolating variables and simplifying expressions in algebra. Perfect for students in Grades 6-8 looking to strengthen their understanding of linear equations.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation