Math Problem Statement

Solve the equation: y + 8 = -11

Solution

The problem shown in the image is:

  1. y+8=11y + 8 = -11

To solve for yy, follow these steps:

  1. Isolate yy by subtracting 8 from both sides of the equation: y+88=118y + 8 - 8 = -11 - 8

  2. Simplify both sides: y=19y = -19

So, the solution is: y=19y = -19

Would you like further details on this solution, or do you have any questions?

Here are some related questions to consider:

  1. What would change in the solution if the equation were y+8=11y + 8 = 11 instead?
  2. How would you solve the equation if it were y8=11y - 8 = -11 instead?
  3. How can we check if our solution is correct?
  4. How does the solution process differ if the unknown variable is on both sides of the equation?
  5. Can you solve similar equations with different numbers?

Tip: When solving linear equations, always aim to isolate the variable by performing inverse operations.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

To isolate a variable, perform inverse operations.

Theorems

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Suitable Grade Level

Grades 6-8