Posted by boss on Friday, October 19, 2012 at 1:24am.
the mid point of a segment joining (a,b) and (3,4b) is (2,3a+4).find a & b.

algebra  Reiny, Friday, October 19, 2012 at 8:48am
for the xcoordinate:
(a3)/2 = 2
a3 = 4
a = 7
for the ycoordinate:
(b + 4b)/2 = 3a + 4
5b = 6a + 8
5b = 42+8 = 50
b = 10
check:
is (2,25) the midpoint of (7,10) and (3,40) ?
Yes, it is