Math Problem Statement

2x-3y=8 solve for y

Solution

To solve the equation 2x3y=82x - 3y = 8 for yy, follow these steps:

  1. Isolate the term involving yy by subtracting 2x2x from both sides: 3y=82x-3y = 8 - 2x

  2. Divide both sides by 3-3 to solve for yy: y=82x3y = \frac{8 - 2x}{-3}

  3. Simplify the expression (if needed): y=8+2x3y = \frac{-8 + 2x}{3} or y=2x83y = \frac{2x - 8}{3}

So, the solution for yy is: y=2x83y = \frac{2x - 8}{3}

Would you like more details on any part of this process, or do you have any other questions?

Here are 5 related questions to expand your understanding:

  1. How would the solution change if the equation were 2x+3y=82x + 3y = 8?
  2. Can you express xx in terms of yy from the original equation?
  3. What happens to the equation if you substitute a specific value for xx?
  4. How would you graph the equation 2x3y=82x - 3y = 8?
  5. What is the slope of the line represented by the equation 2x3y=82x - 3y = 8?

Tip: When solving for a variable, it's important to perform the inverse operations in the correct order to isolate the variable effectively.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

Linear equation formula ax + by = c

Theorems

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Suitable Grade Level

Grades 7-9