Please help. I’ll mark you as brainliest if correct

(a)

dependent

(b)

x = -3t - 12

y = -5t - 16

z = t

Step-by-step explanation:

2x - 3y - 9z = 24       Eq. 1

x + 3z = -12                Eq. 2

-3x + y - 4z = 20        Eq. 3

      2x - 3y - 9z = 24

(+)  -9x + 3y - 12x = 60     3 * Eq. 3

     -7x           -21z = 84     Eq. 4

       7x + 21z = -84          7 * Eq. 2

(+)    -7x - 21z = 84            Eq. 4

                  0  = 0

(a) The system is dependent.

(b)

z = t

x + 3z = -12                Eq. 2

x + 3t = -12

x = -3t - 12

2x - 3y - 9z = 24       Eq. 1

2(-3t - 12) - 3y - 9t = 24

-6t - 24 - 3y - 9t = 24

-3y - 15t = 48

-y - 5t = 16

-y = 5t + 16

y = -5t - 16

x = -3t - 12

y = -5t - 16

z = t

distance covered by pamela in 9 l of fuel = 99km

let us apply unitary method here.

distance covered by pamela in 1 l of fuel =99/9 =11 km

now let us find distance covered by pamela if she has 12 l of fuel.

distance covered in 12 l = distance covered in 1 l of fuel * 12

we know that distance covered by here in 1 l is 11 km.

so distance covered in 12 l of fuel = 11*12 = 132 km.

the line of