Math Problem Statement

Find an ordered pair (x, y) that is a solution to the equation 2x - y = 6.

Solution

To find an ordered pair (x,y)(x, y) that is a solution to the equation 2xy=62x - y = 6, we can select a value for xx, substitute it into the equation, and solve for yy.

Let's choose x=0x = 0: 2(0)y=6y=6y=62(0) - y = 6 \quad \Rightarrow \quad -y = 6 \quad \Rightarrow \quad y = -6 Thus, one possible solution is (x,y)=(0,6)(x, y) = (0, -6).

Would you like more details on this, or have any other questions?

Here are 5 related questions:

  1. Can you find another ordered pair solution by selecting a different value for xx?
  2. What is the slope of the line represented by the equation 2xy=62x - y = 6?
  3. How would the graph of this equation look on a coordinate plane?
  4. What is the y-intercept of the equation 2xy=62x - y = 6?
  5. How can you express yy in terms of xx from the equation 2xy=62x - y = 6?

Tip: When solving linear equations, choosing simple values for one variable can help you quickly find corresponding values for the other.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

2x - y = 6

Theorems

Linear equation solution by substitution

Suitable Grade Level

Grades 7-9