MATHEMATICS_algebra
posted by PDF .
X is a point between A(5,2) and B(5,13) such that AX:XB = 2:3. Find the coordinates of X.

let the point X be X(a,b)
by ratios
(a+5)/5a) = 3/2
2a+10 = 153a
5a=5
a=1
(b+2)/(13b) = 3/2
2b+4 = 39  3b
5b = 35
b = 7
make a sketch to verify