ardillacuervo
ardillacuervo ardillacuervo
  • 11-11-2021
  • Mathematics
contestada

30. What is the solution to the system of equations?

3x + 3y - Z=1
Z=8
-X-3y + 2z = 13


A: (3, 0, 8)

B: (3, 0, -8)

C: (-3, 0,8)

D: (3, 2, 8)

Respuesta :

anasweeney43 anasweeney43
  • 11-11-2021

Answer:

x = 3

y = 0

z = 8

Step-by-step explanation:

a) 3x + 3y - z = 1

b) z = 8

c) -x -3y + 2z = 13

a) 3x + 3y - 8 = 1 (substitution)

a) 3x + 3y = 9

c) - x - 3y + 2(8) = 13 (substitution)

c) -x - 3y + 16 = 13

c) -x - 3y = -3

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

= 2x = 6

x = 3

a) 3(3) + 3y - 8 = 1

9 + 3y - 8 = 1

y = (1 -9 + 8)/3

y = 0

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