Two straight lines have equations y = px + 4 and py = qx - 7 where p and q are constants. The two lines meet at the point (3,1). What is the value of q?

Given:

Equations of two lines are

where, p and q are constants.

The two lines meet at the point (3,1).

To find:

The value of q.

Solution:

We have,

          ...(i)

         ...(ii)

The two lines meet at the point (3,1). It means both equations must be satisfied by the point (3,1).

Putting x=3 and y=1 in (i), we get

The value of p is -1.

Now, putting p=-1, x=3 and y=1 in (ii), we get

Therefore, the value of q is 2.

the answer is 24

step-by-step explanation: