Question

What are the values of c and d in the matrix subtraction below?

Answer 1

6 - (c+2) = 22

6 - -16 = 22

c+2 = -16

c = -16 -2

c = 18

15 - (d-4) = 17

15 - -2 = 17

d-4 = -2

d =-2 + 4

d = 2

Answer 2

The correct answers are c = -18 and d = 2

Explanation:

To find this, note that when we subtract matrices, we simply look at the area they are in. So, to solve for C, we will simply look at the numbers in the top left hand corner.

6 - (c + 2) = 22

6 - c - 2 = 22

4 - c = 22

-c = 18

c = -18

And we do the same with the bottom right values to solve for d.

15 - (d - 4) = 17

15 - d + 4 = 17

19 - d = 17

-d = -2

d = 2