Solve 5 x minus 2 y equals 155x−2y=15 for y

To solve the equation \( 5x - 2y = 15 \) for \( y \), follow these steps:

1. **Isolate the term with \( y \) on one side:**
   
   \[ 5x - 2y = 15 \]

2. **Subtract \( 5x \) from both sides to move the \( x \)-term to the right side:**

   \[ -2y = 15 - 5x \]

3. **Divide both sides by \(-2\) to solve for \( y \):**

   \[ y = \frac{15 - 5x}{-2} \]

4. **Simplify the expression:**

   \[ y = -\frac{15}{2} + \frac{5x}{2} \]

   Or equivalently,

   \[ y = \frac{5x}{2} - \frac{15}{2} \]

So the solution for \( y \) in terms of \( x \) is:

\[ y = \frac{5x}{2} - \frac{15}{2} \]

Would you like more details or have any questions?

Here are 5 related questions to consider:
1. How would you solve the equation \( 3x + 4y = 20 \) for \( y \)?
2. What is the slope-intercept form of the equation \( 5x - 2y = 15 \)?
3. How can you graph the equation \( 5x - 2y = 15 \)?
4. If \( x = 4 \), what is the value of \( y \) in the equation \( 5x - 2y = 15 \)?
5. How do you determine if a point \((x, y)\) is a solution to the equation \( 5x - 2y = 15 \)?

**Tip:** When solving for a variable, always aim to isolate that variable on one side of the equation to simplify the process.

Learn how to solve the linear equation 5x - 2y = 15 for y with a detailed step-by-step solution. Understand the process of isolating variables and performing fraction operations. Suitable for students in Grades 7-9.

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