Question

The coordinates of the vertices of the triangle are (4,-3) (-5,2) and (x,y). if the centre of gravity of the triangle is at the origin, find x,y​

Answer 1

Answer:

To start, double the first equation

2(2a+3b+4c)=(2×35)⟹4a+6b+8c=70

Then subtract the second equation from that.

4a+6b+8c−3a−5b−7c=70−30

⟹(4a−3a)+(6b−5b)+(8c−7c)=40

a+b+c=40