https://file.aiquickdraw.com/mathbot/file/17274516239883qgmn731.jpg

The question in the image asks to find the point that satisfies the equation \(2x + y = 6\). Let's check the points provided:

Given equation:  
\[
2x + y = 6
\]

Now, let's evaluate each option:

- **Option A: (1, 2)**  
  Substituting \(x = 1\) and \(y = 2\) into the equation:
  \[
  2(1) + 2 = 2 + 2 = 4 \neq 6
  \]
  So, option A is incorrect.

- **Option B: (2, 1)**  
  Substituting \(x = 2\) and \(y = 1\) into the equation:
  \[
  2(2) + 1 = 4 + 1 = 5 \neq 6
  \]
  So, option B is incorrect.

- **Option C: (1, 1)**  
  Substituting \(x = 1\) and \(y = 1\) into the equation:
  \[
  2(1) + 1 = 2 + 1 = 3 \neq 6
  \]
  So, option C is incorrect.

- **Option D: (2, 2)**  
  Substituting \(x = 2\) and \(y = 2\) into the equation:
  \[
  2(2) + 2 = 4 + 2 = 6
  \]
  So, option D is correct.

Thus, the correct point that satisfies the equation \(2x + y = 6\) is \((2, 2)\), which is **Option D**.

Would you like more details or have any questions?

Here are 5 related questions to expand on this:

1. How do we solve linear equations with multiple variables?
2. What is the geometric representation of the equation \(2x + y = 6\)?
3. How can we find the intersection point of two linear equations?
4. What is the general form of a linear equation in two variables?
5. How can we check if a given point lies on a line represented by a linear equation?

**Tip**: Always verify the solution by substituting values into the original equation to avoid calculation errors.

यदि 2x + y = 6 को संतुष्ट करने वाला बिंदु है: (A) (1, 2), (B) (2, 1), (C) (1, 1), (D) (2, 2)

Solve for the correct point that satisfies the equation 2x + y = 6. Learn about linear equations and substitution method. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation