Math Problem Statement

Tentukan himpunan penyelesaian dari persamaan linear berikut (Find the solution set for the following linear equations):

Solution

The image contains a series of linear equations, and you are asked to determine the solution set for each equation. I will solve a few equations step-by-step to get you started. Let's proceed!


1. x+2=0x + 2 = 0

  • x=2x = -2

2. 5x=155x = 15

  • x=155=3x = \frac{15}{5} = 3

3. 3x=24-3x = -24

  • x=243=8x = \frac{-24}{-3} = 8

4. 2x=10-2x = -10

  • x=102=5x = \frac{-10}{-2} = 5

5. 2x=52x = 5

  • x=52x = \frac{5}{2}

Let me know if you'd like me to solve the next set of equations or the more complex ones further down the list (e.g., fractions or systems of equations).


Here are five follow-up questions you might find helpful:

  1. How do you handle linear equations with fractions?
  2. What is the best method for solving a system of equations?
  3. Can linear equations have no solutions? If so, when does that happen?
  4. What is the graphical representation of these solutions?
  5. How can you verify your solution is correct?

Tip: For systems of linear equations, substitution or elimination methods are usually the most effective ways to find the solution.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Solving Systems of Equations

Formulas

ax + b = 0 (linear equation in one variable)
Solving systems of equations using substitution or elimination

Theorems

Basic linear equation properties
Methods for solving systems of linear equations

Suitable Grade Level

Grades 9-12