Class 9 Exam > Class 9 Questions > For a line whose equation is 2x + y = 5, whic... Start Learning for Free
For a line whose equation is 2x + y = 5, which one of the following points lies on it ?
- a)(3, 2)
- b)(1, 2)
- c)(2, 1)
- d)(-2, 1)
Correct answer is 'C'. Can you explain this answer?
Most Upvoted Answer
For a line whose equation is 2x + y = 5, which one of the following po...
Given information:
The equation of the line is 2x + y = 5.
Explanation:
To determine which point lies on the line, we can substitute the x and y values of each point into the equation and check if it satisfies the equation.
Let's substitute the values of each point into the equation and check:
a) (3, 2)
Substituting x = 3 and y = 2 into the equation:
2(3) + 2 = 5
6 + 2 = 5
8 ≠ 5
b) (1, 2)
Substituting x = 1 and y = 2 into the equation:
2(1) + 2 = 5
2 + 2 = 5
4 ≠ 5
c) (2, 1)
Substituting x = 2 and y = 1 into the equation:
2(2) + 1 = 5
4 + 1 = 5
5 = 5
d) (-2, 1)
Substituting x = -2 and y = 1 into the equation:
2(-2) + 1 = 5
-4 + 1 = 5
-3 ≠ 5
Conclusion:
From the above calculations, we can see that only point (2, 1) satisfies the equation 2x + y = 5. Therefore, the correct answer is option 'C' (2, 1).
The equation of the line is 2x + y = 5.
Explanation:
To determine which point lies on the line, we can substitute the x and y values of each point into the equation and check if it satisfies the equation.
Let's substitute the values of each point into the equation and check:
a) (3, 2)
Substituting x = 3 and y = 2 into the equation:
2(3) + 2 = 5
6 + 2 = 5
8 ≠ 5
b) (1, 2)
Substituting x = 1 and y = 2 into the equation:
2(1) + 2 = 5
2 + 2 = 5
4 ≠ 5
c) (2, 1)
Substituting x = 2 and y = 1 into the equation:
2(2) + 1 = 5
4 + 1 = 5
5 = 5
d) (-2, 1)
Substituting x = -2 and y = 1 into the equation:
2(-2) + 1 = 5
-4 + 1 = 5
-3 ≠ 5
Conclusion:
From the above calculations, we can see that only point (2, 1) satisfies the equation 2x + y = 5. Therefore, the correct answer is option 'C' (2, 1).
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Community Answer
For a line whose equation is 2x + y = 5, which one of the following po...
Option C is correct answer.
For the given point (2,1)
x = 2 and y = 1
Putting value in 2x + y = 5
2 (2) +1 = 5
5 = 5
Putting value in 2x + y = 5
2 (2) +1 = 5
5 = 5
So point (2,1) lies on the line 2x + y = 5
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