Question

Compute the following linear combinations.

a. 4(-2, 3) - 2(6, -7)

b. (79.4, 58.1) + 3(-0.8, 6.3)

Answer 1

let's take the x-coordinates first

a) 4(-2) - 2(6) = ?

Answer 2

-20

Answer 3

awesome, now the y-coordinates

4(3) - 2(-7) = ?

Answer 4

-2

Answer 5

26*

Answer 6

awesome so putting the x and y together we get

(-20,26) as the solution for a)

would you like to try b) using the same line of reasoning? I can help you out if you get stuck

Answer 7

yeah sure i will do it

Answer 8

79.4+3(-0.8)=77
58.1+3(6.3)=77
(77,77)

Answer 9

perfect