To solve the equation \(2x + 5y = -22\) for \(x\) or \(y\), or to express one variable in terms of the other, follow these steps:

### Solving for \(x\) in terms of \(y\):
\[
2x + 5y = -22
\]
Subtract \(5y\) from both sides:
\[
2x = -22 - 5y
\]
Now, divide both sides by 2:
\[
x = \frac{-22 - 5y}{2}
\]
Simplify if possible:
\[
x = -11 - \frac{5y}{2}
\]

### Solving for \(y\) in terms of \(x\):
\[
2x + 5y = -22
\]
Subtract \(2x\) from both sides:
\[
5y = -22 - 2x
\]
Now, divide both sides by 5:
\[
y = \frac{-22 - 2x}{5}
\]
Simplify if possible:
\[
y = -\frac{22}{5} - \frac{2x}{5}
\]

### If you want a specific solution (numerical values for \(x\) and \(y\)):
You would need a second equation to solve for both \(x\) and \(y\) simultaneously.

Would you like to solve this equation further, such as finding specific values for \(x\) and \(y\), or is this what you needed?

---

Here are 5 related questions you might find interesting:
1. How do you solve a system of linear equations?
2. What is the geometric interpretation of the equation \(2x + 5y = -22\)?
3. How can you determine if a system of equations has no solution or infinitely many solutions?
4. What is the slope-intercept form of a linear equation?
5. How do you graph the equation \(2x + 5y = -22\) on a coordinate plane?

**Tip:** When solving for a variable, always check if you can simplify the equation further to make calculations easier.

Learn how to solve the linear equation 2x + 5y = -22 step-by-step with clear explanations and examples. This problem involves solving for variables using equation techniques. 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