Math Problem Statement

Lös förstagradsekvationen 6x - 7 = 0. Ge den exakta lösningen som svar, i bråkform om det behövs.

Solution

The equation presented in the image is a first-degree (linear) equation:

6x7=06x - 7 = 0

Step-by-step solution:

  1. Isolate xx: Add 7 to both sides of the equation to remove the constant on the left side. 6x=76x = 7

  2. Solve for xx: Now, divide both sides of the equation by 6 to isolate xx. x=76x = \frac{7}{6}

Thus, the exact solution in fraction form is: x=76x = \frac{7}{6}

Would you like further explanation or have any questions?

Here are 5 questions related to this topic:

  1. What is a first-degree (linear) equation?
  2. How do you solve a first-degree equation with fractions?
  3. What does it mean to solve an equation exactly?
  4. Can first-degree equations have more than one solution?
  5. How would you check if your solution is correct?

Tip: Always check your solution by substituting the value back into the original equation.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

Linear equation: ax + b = 0

Theorems

Basic principles of solving linear equations

Suitable Grade Level

Grades 7-9