SSC CGL 2022 PYQ — Question 52

SSC CGL Tier II - Quant - 3 Feb 2022 • Quantitative Aptitude • Q52

The graphs of the equations 7x + 11y = 3 and 8x + y = 15 intersect at the point P, which also lies on the graph of the equation:

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 3x + 5y = 1.

The line which passes through the intersection point of the given two lines will also be satisfied by the point of intersection.

7x + 11y = 3...............(1)

8x + y = 15.................(2)

On solving equation (1) and (2) we get,

x = 2 and y = -1.

(2, -1) satisfy only option 3.