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Which of the following are the solutions of the equation 2x + 3y = 13?
- a)(4 , 2)
- b)(2, 3)
- c)(2 , 2)
- d)(3, 3)
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Which of the following are the solutions of the equation 2x + 3y = 13?...
Understanding the Equation
The equation given is 2x + 3y = 13. We need to find which of the provided options (a, b, c, d) satisfies this equation.
Substituting the Options
To determine the solutions, we will substitute each pair (x, y) into the equation:
Conclusion
Upon evaluating all the options, only option B (2, 3) satisfies the equation 2x + 3y = 13. Thus, option B is the correct answer.
This method of substitution can be used to verify solutions for linear equations effectively.
The equation given is 2x + 3y = 13. We need to find which of the provided options (a, b, c, d) satisfies this equation.
Substituting the Options
To determine the solutions, we will substitute each pair (x, y) into the equation:
- Option A: (4, 2)
- 2(4) + 3(2) = 8 + 6 = 14 (Not a solution)
- Option B: (2, 3)
- 2(2) + 3(3) = 4 + 9 = 13 (This is a solution)
- Option C: (2, 2)
- 2(2) + 3(2) = 4 + 6 = 10 (Not a solution)
- Option D: (3, 3)
- 2(3) + 3(3) = 6 + 9 = 15 (Not a solution)
Conclusion
Upon evaluating all the options, only option B (2, 3) satisfies the equation 2x + 3y = 13. Thus, option B is the correct answer.
This method of substitution can be used to verify solutions for linear equations effectively.
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Community Answer
Which of the following are the solutions of the equation 2x + 3y = 13?...
The given linear equation is 2x + 3y = 13
Now substituting the values of x and y from option in equation (i), we see
For (a) 2 × 4 + 3 × 2 = 8 + 6 = 14 ≠ 13
∴ (a) is not correct option.
Again 2 × 2 + 3 × 3 = 4 + 9 = 13 = 13
∴ (b) is required answer.
Now substituting the values of x and y from option in equation (i), we see
For (a) 2 × 4 + 3 × 2 = 8 + 6 = 14 ≠ 13
∴ (a) is not correct option.
Again 2 × 2 + 3 × 3 = 4 + 9 = 13 = 13
∴ (b) is required answer.
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