Question

. In the diagram, the line AC has equation 2x + 3y = 17 and the line AB has equation 4x – y = 6. The lines BC and AB intersect at B(1, −2). The lines AC and BC intersect at C(4, 3). (a) Use algebra to find the coordinates of the point A.

Answer 1

Answer:

Step-by-step explanation:

AC and AB intersect at A. The solution of these two equations will be the co-ordinates of  A.

2x + 3y = 17 -----------(1)

4x -  y = 6 --------------(2)

(1) * 2

4x + 6y = 34 ------------(3)

(3) - (1)

7y = 28

y = 4

Substitute y = 4 in (2)

4x - 4 = 6

4x = 10

x = 2.5

Co-ordinates of A (2.5,4)