If equation of line p is x + y = 5 and that of line q is x - y = 3, what are the coordinates of the point common to both the lines?

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SSC CHSL Exam 2024 Tier-I Official Paper (Held On: 01 Jul, 2024 Shift 1)
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  1. (4, 1)
  2. (2, 3)
  3. (1, 4)
  4. (2, 1)

Answer (Detailed Solution Below)

Option 1 : (4, 1)
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SSC CHSL Exam 2023 Tier-I Official Paper (Held On: 02 Aug 2023 Shift 1)
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100 Questions 200 Marks 60 Mins

Detailed Solution

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Given:

Equation of line p: x + y = 5

Equation of line q: x - y = 3

Formula Used:

To find the coordinates of the intersection point, solve the system of equations:

1. x + y = 5

2. x - y = 3

Calculation:

Adding equations 1 and 2:

x + y + x - y = 5 + 3

⇒ 2x = 8

⇒ x = 8 / 2

⇒ x = 4

Substituting x = 4 into equation 1:

4 + y = 5

⇒ y = 5 - 4

⇒ y = 1

Coordinates of the point common to both lines:

(4, 1)

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