Factor out the common term 4
-4(2x - y) = 24
Divide both sides by -4
2x-y= - 24/4
Simplify24/4 to 6
2x -y = -6
Subtract 2x from both sides
-y = -6 - 2x
Multiply both sides by -1
y = 6 + 2x
It is a bit tedious to write 6 equations, but it is a straightforward process to substitute the given point values into the form provided.
For segment ab. (x1, y1) = (1, 1); (x2, y2) = (3, 4).
... x = 1 + t(3-1)
... y = 1 + t(4-1)
ab = {x=1+2t, y=1+3t}
For segment bc. (x1, y1) = (3, 4); (x2, y2) = (1, 7).
... x = 3 + t(1-3)
... y = 4 + t(7-4)
bc = {x=3-2t, y=4+3t}
For segment ca. (x1, y1) = (1, 7); (x2, y2) = (1, 1).
... x = 1 + t(1-1)
... y = 7 + t(1-7)
ca = {x=1, y=7-6t}
FOIL first outer inner last it’s distribution
Days in a week n(S)=7
DAYS to not getting monday n(M)=6
probability P(M)=n(M)/n(S)
=6/7(ans)