Question

The point (-4,8) is the mid point of the line joining the points (a+b,3b) and (-2a,2b-3a) find the values of a and b

Answer 1

Answer:

a=28; b=20.

Step-by-step explanation:

1) 2*(-4)=(a+b)+(-2a) and .

2) using the two equations it is possible to make up (then solve) the next system:

$\left \{ {{2*(-4)=(a+b)+(-2a)} \atop {2*8=3b+(2b-3a)}} \right. \ => \ \left \{ {{-a+b=-8} \atop {-3a+5b=16}} \right. \ => \ \left \{ {{a=28} \atop {b=20}} \right.$