Question

two orienteering courses are a represented on suitable axes as 3x - 2y = - 17 and 3y - 4x =24 the courses have one checkpoint in the common. Determinate, algebraically the coordinates of this checkpoint​

Answer 1

3x - 2y = -17 -> 9x - 6y = -51

3y - 4x = 24 -> 6y - 8x = 48

9x - 6y = -51

6y - 8x = 48

------------------- +

x = -3

3x - 2y = -17

3(-3) - 2y = -17

-9 - 2y = -17

-2y = -8

y = 4

Coordinate : (-3, 4)