What are the values of c and d in the matrix [[6,8],[-11,15]]-[[c+2,3],[-5, d-4]]=[[22,5],[-6,17]]

c = - 18

d = 2

Step-by-step explanation:

[[6,8],[-11,15]]-[[c+2,3],[-5, d-4]]=[[22,5],[-6,17]]

First we arrange the subtraction to clear the unknowns

- [[c+2,3],[-5, d-4]] = [[22,5],[-6,17]] - [[6,8],[-11,15]]

[[c+2,3],[-5, d-4]] = [[6,8],[-11,15]] - [[22,5],[-6,17]]

Now we solve what can be done

[[c+2,3],[-5, d-4]] = [[6-22, 8-5],[-11+6, 15-17]]

[[c+2,3],[-5, d-4]] = [[-16, 3], [-5, - 2]

we match each term with its corresponding one and we will obtain

c + 2 = - 16 d - 4 = - 2

c = - 16 - 2 d = - 2 + 4

c = - 18 d = 2