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user100 [1]
2 years ago
7

Ss below. help would be appreciated.

Mathematics
2 answers:
Arada [10]2 years ago
7 0

Answer:

(3,0,0)

Step-by-step explanation:

3x + 5y + z = 9     --------------(I)

-4y - z = 0   -------------------(II)

    z = -4y

2x + 3y  - 4z  = 6    (III)

Substitute  z = -4y      in equation (I) and (III)

3x  +5y - 4y = 9

3x + y = 9      -----------------------(a)

2x + 3y - 4*(-4y) = 6

2x + 3y + 16y = 6

2x + 19y = 6 -------------------(b)

Multiply equation (a) by (-19) and then add. So, y will be eliminated and we can get the value of x

(a)*(-19)            -57x - 19y  = -171

(b)                       2x  + 19y =   6

                       -55x           = -165

x = -165/-55

x = 3

Plugin x = 3 in equation (a)

3*3 + y = 9

9  + y = 9

        y = 9 - 9

y = 0

Plug in y = 0 in equation (II)

-4*0 - z = 0

         z = 0

Step-by-step explanation:

sergeinik [125]2 years ago
5 0

Answer:

(3,0,0)

Step-by-step explanation:

3x + 5y + z = 9     --------------(I)

-4y - z = 0   -------------------(II)

     z = -4y

2x + 3y  - 4z  = 6    (III)

Substitute  z = -4y      in equation (I) and (III)

3x  +5y - 4y = 9

3x + y = 9      -----------------------(a)

2x + 3y - 4*(-4y) = 6

2x + 3y + 16y = 6

2x + 19y = 6 -------------------(b)

Multiply equation (a) by (-19) and then add. So, y will be eliminated and we can get the value of x

(a)*(-19)            -57x - 19y  = -171

(b)                    <u>   2x  + 19y =   6 </u>

                        -55x           = -165

x = -165/-55

x = 3

Plugin x = 3 in equation (a)

3*3 + y = 9

 9  + y = 9

         y = 9 - 9

y = 0

Plug in y = 0 in equation (II)

-4*0 - z = 0

          z = 0

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