Question

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

Answer 1

Answer:

(-1, 6)

Step-by-step 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

Answer:

(-1,6)

Step-by-step 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

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

$-11c=11$

$c=\frac{11}{-11}=-1$

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

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

$1+2d=13$

$2d=13-1=12$

$d=\frac{12}{2}=6$

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