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2 years ago

x+2y+2z=3. 2x-2y-z=3. x-2z=-5

Mathematics

1 answer:

d1i1m1o1n [39]2 years ago

8 0

Answer:

x = 1, y = -2, z = 3.

Step-by-step explanation:

x + 2y + 2z = 3 A

2x -2y - z = 3 B

x - 2z = -5 C

If we add equations A and B we eliminate y:

3x + z = 6 E

Multiply E by 2 :

6x + 2z = 12 F

Adding C and F we get:

7x = 7

x = 1.

Plug this into equaton C:

1 - 2z = -5

-2z = -5 - 1 = -6

z = 3.

Now plugging x = 1 and z = 3 in equation A:

1 + 2y + 2(3) = 3

2y = 3 - 1 - 6 = -4

y = -2.

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2 years ago

x+2y+2z=3. 2x-2y-z=3. x-2z=-5​

x+2y+2z=3. 2x-2y-z=3. x-2z=-5