Find the point of intersection of the pair of straight lines. 3x - 4y = 9
4x + 12y = 25

Question

Quizplus · Accepted Answer

To find the point of intersection of two lines, we need to solve the system of equations:

3x - 4y = 9   ...(1)
4x + 12y = 25 ...(2)

We can solve this system by elimination method:

Multiply equation (1) by 3:

9x - 12y = 27  ...(1')

4x + 12y = 25  ...(2)

Add equations (1') and (2):

13x = 52
x = 4

Substitute x = 4 into equation (1):

3(4) - 4y = 9
12 - 4y = 9
-4y = -3
y = 3/4

Therefore, the point of intersection is (4, 3/4).

The answer format is B because it provides the correct coordinates of the point of intersection.

Find the Point of Intersection of the Pair of Straight