SSC CHSL 2024 PYQ — Question 67

SSC CHSL - 02 July 2024 - Shift 4 • Quantitative Aptitude • Q67

If the point of intersection of lines x + y = 2 and 2x - y = 1 lies on y = kx + 5. What is the value of k?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. - 4. 

Given that

The point of intersection of lines x + y = 2 and 2x - y = 1 lies on y = kx + 5.

Let x = 2 - y

Substituting this value of x in 2x - y = 1 we get = 2 × ( 2 - y ) - y = 1

Solving for y we get = y = 1

Hence, the value of x = 1

Now, putting these values in y = kx + 5 we get,

1 = k + 5

⇒k = - 4

Hence, the value of k is - 4.