Posted by Shaila on .
Solve the linear system in two space
[x,y] = [12,7] + s[8,5]
[x,y] = [2,1] + t[3,2]

Math  Solving Linear systems 
Reiny,
Set the x's equal and the y's equal to each other .....
12 + 8s = 2 + 3t  8s  3t = 14 #1
7  5s = 1  2t > 5s  2t = 6 #2
#1x2 > 16s  6t = 28
#2x3 > 15s  6t = 18
subtract:
s = 46
8(46)  3t = 14
t = 118
check:
for those values first line [356,237]
and the second line [356,237]
They intersect at the point (356,237)
You can use the same method for the other post which I answered as "anonymous"