Math Problem Statement

△/5=△-12, △=?

Solution

To solve the equation:

5=12\frac{\triangle}{5} = \triangle - 12

Let's follow these steps:

  1. Multiply both sides of the equation by 5 to eliminate the fraction:

55=(12)5\frac{\triangle}{5} \cdot 5 = (\triangle - 12) \cdot 5 =560\triangle = 5\triangle - 60

  1. Subtract \triangle from both sides to get all the \triangle terms on one side:

=560\triangle - \triangle = 5\triangle - \triangle - 60 0=4600 = 4\triangle - 60

  1. Add 60 to both sides:

60=460 = 4\triangle

  1. Divide both sides by 4:

=604\triangle = \frac{60}{4} =15\triangle = 15

So, =15\triangle = 15.

If you have any questions or need further details, feel free to ask!

Here are 5 questions you can ask next:

  1. How do you solve systems of linear equations?
  2. What is the process for finding the roots of a quadratic equation?
  3. Can you explain the concept of the derivative in calculus?
  4. How do you evaluate definite integrals?
  5. What are the steps to simplify complex fractions?

Tip: When solving equations involving fractions, multiplying both sides by the denominator can help eliminate the fraction and simplify the equation.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

-

Theorems

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Suitable Grade Level

Grades 6-8