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5. WHAT IS THE SOLUTION TO THE SYSTEM?
5x – 2y + z = 0
2x – y + z = 3
3x + 4y = 18

User MhagnumDw
by
8.3k points

1 Answer

4 votes

Answer:

x= 2/5 y - 1/5 z

x= 3/2 + 1/2 y -1/2 z

x = 6 - 4/3 y

Explanation:

5x – 2y + z = 0

5x=2y-z

* Moving variables to the right side and changing their signs

* divide both sides by 5

Answer: x= 2/5 y - 1/5 z

2x - y + z = 3

2x = 3 + y - 2

Answer: x= 3/2 + 1/2 y -1/2 z

* move variables to the right sides and change their signs

* divide both sides by 2

3x + 4 y = 18

3x/3 = 18 - 4/3

Answer: x = 6 - 4/3 y

* Move variables to the right side and change its sign

* divide both sides by 3

User Maxim Korobov
by
8.5k points

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