For the line x - y = 8, which point is obtained when y = 3?
Answer and explanation
Correct answer: (11, 3)
The governing concept is generating an ordered pair from a linear equation. Since y = 3, substitute this value into x - y = 8: x - 3 = 8. Adding 3 to both sides gives x = 11. The ordered pair must be written in the order (x, y), so it is (11, 3), which is option B. Option A reverses the coordinates. Option C uses 8 as the x-coordinate without solving the equation, while option D incorrectly subtracts 3 from 8 instead of adding it when isolating x. Substitution verifies the result: 11 - 3 = 8.
Frequently asked questions
What is the correct answer to this question?
(11, 3)
Why is this the correct answer?
The governing concept is generating an ordered pair from a linear equation. Since y = 3, substitute this value into x - y = 8: x - 3 = 8. Adding 3 to both sides gives x = 11. The ordered pair must be written in the order (x, y), so it is (11, 3), which is option B. Option A reverses the coordinates. Option C uses 8 as the x-coordinate without solving the equation, while option D incorrectly subtracts 3 from 8 instead of adding it when isolating x. Substitution verifies the result: 11 - 3 = 8.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Pair of Linear Equations in Two Variables. Topic: Graphical method of finding solutions..
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