find an ordered pair (x,y) that is a solution to the equation x-5y=5

We need to find an ordered pair \((x, y)\) that satisfies the equation:

\[
x - 5y = 5
\]

To find a solution, we can choose a value for \(x\) or \(y\) and solve for the other variable. Let's assume \(x = 0\) and solve for \(y\).

### Step-by-step solution:
1. Substitute \(x = 0\) into the equation:

   \[
   0 - 5y = 5
   \]

2. Simplify:

   \[
   -5y = 5
   \]

3. Solve for \(y\) by dividing both sides by \(-5\):

   \[
   y = \frac{5}{-5} = -1
   \]

Thus, the ordered pair \((0, -1)\) is a solution to the equation.

Would you like more details or have any questions?

Here are 5 related questions:
1. What is the general solution to the equation \(x - 5y = 5\)?
2. Can you find another ordered pair that satisfies the equation?
3. How do you graph the equation \(x - 5y = 5\)?
4. What happens if we set \(y = 0\)? What is the corresponding \(x\)?
5. How can we rewrite this equation in slope-intercept form?

**Tip**: When solving linear equations, you can choose convenient values for one variable and solve for the other to find different solutions.

Learn how to find an ordered pair (x, y) that solves the linear equation x - 5y = 5. This problem involves fundamental algebraic concepts and step-by-step solutions, suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation