Math Problem Statement

X-y=4

Solution

To solve the equation Xy=4X - y = 4, we need to isolate one of the variables in terms of the other. This equation represents a linear relationship between XX and yy.

Step 1: Solve for yy in terms of XX

y=X4y = X - 4

This equation now expresses yy in terms of XX, showing that for any value of XX, you can find the corresponding value of yy by subtracting 4 from XX.

Solution Set

The solution set of this equation is all pairs (X,y)(X, y) such that y=X4y = X - 4. Graphically, this equation represents a line with a slope of 1 and a y-intercept of -4.

Would you like to see a graph, further details, or explore any specific aspect of this equation?

Related Questions

  1. How do you find the intersection of two lines given in slope-intercept form?
  2. What is the slope and intercept form for other similar linear equations?
  3. How can we represent this equation in terms of standard form?
  4. How do we find the distance between two points on a line?
  5. What are the implications of slope in terms of real-world applications?

Tip: Understanding the slope of a line can help in analyzing how one variable changes in relation to another in real-world problems, such as speed or cost.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

X - y = 4
y = X - 4

Theorems

Linear equation theorem

Suitable Grade Level

Grades 7-9