Math Problem Statement

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

Solution

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

x5y=5x - 5y = 5

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

Step-by-step solution:

  1. Substitute x=0x = 0 into the equation:

    05y=50 - 5y = 5

  2. Simplify:

    5y=5-5y = 5

  3. Solve for yy by dividing both sides by 5-5:

    y=55=1y = \frac{5}{-5} = -1

Thus, the ordered pair (0,1)(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 x5y=5x - 5y = 5?
  2. Can you find another ordered pair that satisfies the equation?
  3. How do you graph the equation x5y=5x - 5y = 5?
  4. What happens if we set y=0y = 0? What is the corresponding xx?
  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.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

x - 5y = 5

Theorems

Basic Solution Method for Linear Equations

Suitable Grade Level

Grades 6-8