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Katena32 [7]
3 years ago
13

Identify the constants in the following

Mathematics
1 answer:
Aliun [14]3 years ago
3 0
A) 7 is the constant
b) 3 is the constant
c) -1 is the constant


a constant in math is when there’s no variable attached to the number (so there’s no x y z, whatever attached to it). it’s just a simple number like 1 2 3 4 5....
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X+ y + z = -3<br> 3y - Z = 4<br> 2x- y - 2z = -5
snow_lady [41]

Answer:

  • (-3, 1, -1)

Step-by-step explanation:

  • x + y + z = -3  --> (1)
  • 3y - z = 4   --> (2)
  • 2x - y - 2z = -5 --> (3)

<u>Add up (1) and (2)</u>

  • x + 3y + y + z - z = -3 + 4 ⇒ x + 4y = 1  --> (4)

<u>Double (2) and subtract from (3)</u>

  • 2x - y - 2z - 2(3y - z) = -5 - 2(4) ⇒ 2x - y - 2z - 6y + 2z = -5 - 8
  • 2x - 7y = -13 --> (5)

<u>Double (4) and subtract (5)</u>

  • 2(x + 4y) - 2x + 7y = 2 + 13 ⇒ 2x + 8y - 2x + 7y = 15 ⇒ 15y = 15 ⇒ y = 1

<u>Finding x</u>

  • x + 4(1) = 1 ⇒ x = 1 - 4  ⇒ x = -3

<u>Finding z</u>

  • -3 + 1 + z = -3 ⇒ z = -1

<u>So the answer is: </u>

  • (-3, 1, -1)

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