4(k + 10) + k

simplify each expression using the properties of numbers.

First distributive property of multiplication...

4 (k+10) + k =
4k + 40 + k =

Now commutative property of addition...

4k + k + 40 =
5k + 40 =
k = 40/5 = 8

B.the point lies directly on the regression

So the first thing we do is to multiply the top equation by 3. the reason i want to do this is i notice there will be a 6y on both equations and can possibly add/subtract them. so we get 6y = -3x + 27. adding that and the second equation we get 6x = 27-15 which is 12. divide by 6 and we get 2. ∴ x = 2. substituting 2 into the first equation we get 2y = -2 + 9 which is 7. divide by 2 and we get 7/2. ∴ y = 7/2, x = 2.