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3 years ago

Solve the system by substitution. − x − y − z = − 8 − 4 x + 4 y + 5 z = 7 2 x + 2 z = 4

Mathematics

1 answer:

LekaFEV [45]3 years ago

7 0

Answer:

The answer to your question is:

x = 3

y = 6

z = - 1

Step-by-step explanation:

- x - y - z = - 8 (I)

- 4x + 4y + 5z = 7 (II)

2x + 2z = 4 (III)

2z = 4 - 2x

z = 2 - x (IIIA)

Substitute IIIA in I

- x - y - (2 - x) = - 8 - x - y - 2 + x = -8 - y - 2 = -8 - y = -8 + 2 y = 6

Substitute IIIA and y in II

- 4x + 4(6) + 5(2 - x) = 7

-4x + 24 + 10 - 5x = 7

-9x = 7 -34

-9x = -27

x = 3

Substitute x in IIIA

z = 2 - 3

z = - 1

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