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.