Question
Download Solution PDFIf 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?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
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)
Last updated on May 28, 2025
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