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uranmaximum [27]
3 years ago
6

Answer asap please and rhanks

Mathematics
2 answers:
Sloan [31]3 years ago
8 0

Answer:

(x, y, z ) = (4, 8, 12 )

Step-by-step explanation:

Given

x + y + z = 24 → (1)

5x + 3y + z = 56 → (2)

x + y - z = 0 → (3)

Eliminating z from the equations

Add (1) and (3) term by term

2x + 2y = 24 → (4)

Subtract (1) from (2) term by term

4x + 2y = 32 → (5)

Subtract (4) from (5) term by term

2x = 8 ( divide both sides by 2 )

x = 4

Substitute x = 4 into (4)

2(4) + 2y = 24

8 + 2y = 24 ( subtract 8 from both sides )

2y = 16 ( divide both sides by 2 )

y = 8

Substitute x = 4, y = 8 into (1)

4 + 8 + z = 24, that is

12 + z = 24 ( subtract 12 from both sides )

z = 12

Solution is x = 4, y = 8, z = 12

Amanda [17]3 years ago
4 0
X is 9 Y is 3 and Z is 12
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