Math Problem Statement

solve x-2y=11 for y

Solution

To solve the equation x2y=11x - 2y = 11 for yy, follow these steps:

  1. Start with the given equation: x2y=11x - 2y = 11

  2. Isolate the term with yy by subtracting xx from both sides: 2y=11x-2y = 11 - x

  3. Divide both sides of the equation by 2-2 to solve for yy: y=11x2y = \frac{11 - x}{-2}

  4. Simplify the expression:

    \quad \text{or} \quad y = -\frac{x}{2} + \frac{11}{2}$$

So, the solution is: y=x2+112y = -\frac{x}{2} + \frac{11}{2}

Would you like further details on how I solved this equation or have any other questions?

Here are 5 related questions:

  1. How would you solve x+3y=9x + 3y = 9 for yy?
  2. How can you graph y=x2+112y = -\frac{x}{2} + \frac{11}{2}?
  3. What are the x-intercept and y-intercept of the equation y=x2+112y = -\frac{x}{2} + \frac{11}{2}?
  4. How do you find the slope of the line y=x2+112y = -\frac{x}{2} + \frac{11}{2}?
  5. What happens if you solve for xx in the equation x2y=11x - 2y = 11?

Tip: When solving for a variable, always isolate the term involving the variable first before performing other operations.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Solving for a Variable

Formulas

y = (-x + 11) / 2

Theorems

Linear equation solving techniques

Suitable Grade Level

Grades 6-8