Question

Which ordered pair (c,d) is the solution to the given system of linear equations?

-C+2d=13
|-9c-4d=-15

Answer 1

(-1, 6)

Explanation:

{-c + 2d = 13

{-9c - 4d = -15

-⅑[-9c - 4d = -15]

{-c + 2d = 13

{c + 4⁄9d = 1⅔ >> New equation

______________

2 4⁄9d = 14⅔

______ _____

2 4⁄9 2 4⁄9

d = 6 [Plug this back into both equations to get the c-value of -1]; -1 = c

I am joyous to assist you anytime.

Answer 2

(-1,6)

Explanation:

We are given that system of linear equations

`-c+2d=13`

`-9c-4d=-15`

We have to find the value of ordered pair (c,d).

Equation first multiply by 2 then add to equation second

We get

`-9c-4d-2c+4d=26-15`

`-11c=11`

`c=(11)/(-11)=-1`

Substitute the value of c in equation first then, we get

`-(-1)+2d=13`

`1+2d=13`

`2d=13-1=12`

`d=(12)/(2)=6`

Hence, the ordered pair (-1,6) is the solution of given system of linear equations.