SarkariPYQ

SSC CGL 2022 PYQ — Question 67

SSC CGL Tier II - Quant - 29 Jan 2022 • Quantitative Aptitude • Q67

Back to paper

The graphs of the equations 

4x+13\frac{1}{3}y=83\frac{8}{3}and 12\frac{1}{2}x+34\frac{3}{4}y +52\frac{5}{2}=0 intersect at a point P. The point P also lies on the graph of the equations:-

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 3x - y - 7 = 0

 4x+13\frac{1}{3}y=83\frac{8}{3} can be written as 12x + y = 8...........(1)

 12\frac{1}{2}x+34\frac{3}{4}y +52\frac{5}{2}=0 can be written as 2x + 3y = -10 ..........(2)

on solving eq (1) and (2) we get,

x = 1and y = -4

(1,-4) satisfy the equation in option 2.

So one can say that , 3x - y - 7 = 0 will be the line which passes through (1, -4).

-