Math Problem Statement

isolate y

2x+5y-10=5

Solution

To isolate yy in the equation 2x+5y10=52x + 5y - 10 = 5, follow these steps:

  1. Move the constant term to the other side of the equation:

    2x+5y=5+102x + 5y = 5 + 10

    2x+5y=152x + 5y = 15

  2. Move the term involving xx to the other side:

    5y=152x5y = 15 - 2x

  3. Divide by 5 to solve for yy:

    y=152x5y = \frac{15 - 2x}{5}

  4. Simplify the equation:

    y=32x5y = 3 - \frac{2x}{5}

So, the isolated form of yy is:

y=32x5y = 3 - \frac{2x}{5}

Would you like more details or have any questions?

Here are 5 related questions:

  1. How do you isolate yy when there are more terms?
  2. What happens if you need to isolate xx instead of yy?
  3. Can you explain how to handle equations with fractions?
  4. How do you check if your isolated yy equation is correct?
  5. What are the steps for isolating yy in a quadratic equation?

Tip: When isolating a variable, always perform inverse operations to move terms step by step.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

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Theorems

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Suitable Grade Level

Grades 7-9