Math Problem Statement

𝑥 − 𝑦 = 10 solve for y

Solution

To solve the equation xy=10x - y = 10 for yy:

  1. Start with the given equation: xy=10x - y = 10
  2. Subtract xx from both sides to isolate y-y: y=10x-y = 10 - x
  3. Now, multiply both sides by 1-1 to solve for yy: y=x10y = x - 10

So, the solution is: y=x10y = x - 10

Would you like more details or have any questions?

Here are 5 related questions to consider:

  1. What happens if x=15x = 15? What is the value of yy?
  2. How would you graph the equation xy=10x - y = 10?
  3. What is the solution to xy=0x - y = 0?
  4. If xx is negative, how does the value of yy change?
  5. Can you express xx in terms of yy?

Tip: When solving for a variable, always ensure that all terms involving the variable are isolated on one side of the equation.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Isolating Variables

Formulas

x − y = 10
y = x − 10

Theorems

Basic principles of equation solving

Suitable Grade Level

Grades 6-8