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Kryger [21]
3 years ago
14

DIG DEEPER! Solve the 2x – y + 3z = -1 x + 2y - 4z = -1 y -- 2z = 0 The solution is

Mathematics
1 answer:
vovangra [49]3 years ago
7 0

Answer:

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

Step-by-step explanation:

Given the 3 equations

2x - y + 3z = - 1 → (1)

x + 2y - 4z = - 1 → (2)

y - 2z = 0 → (3)

Add (1) and (3) term by term

2x + z = - 1 → (4)

Multiply (1) by 2

4x - 2y + 6z = - 2 → (5)

Add (2) and (5) term by term

5x + 2z = - 3 → (6)

Multiply (4) by - 2

- 4x - 2z = 2 → (7)

Add (6) and (7) term by term

x = - 1

Substitute x = - 1 into (4)

- 2 + z = - 1 ( add 2 to both sides )

z = 1

Substitute x = - 1, z = 1 into (2)

- 1 + 2y - 4 = - 1

- 5 + 2y = - 1 ( add 5 to both sides )

2y = 4 ( divide both sides by 2 )

y = 2

solution is (x, y, z ) = (- 1, 2, 1 )

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Ne4ueva [31]

Answer:

Option B can be quadratic.

Step-by-step explanation:

Take a look at the data.

A quadratic equation is of the form ,

y = ax^{2} +bx + c,

where, a,b,c are constants.

<em>To find an unknown equation of 3 variables,</em>

<em>we need 3 points lying on the equation.</em>

here they have given, 5 points, meaning all should lie on the curve.

<em>For first option,</em> inserting first 3 points to find equation, we get equation as,

y = x^{2} -4x +11, but the rest points don't satisfy the curve.

So first option is not quadratic.

Similarly, it can be shown that option C and D are also not quadratic.

While, in option B, it is clear that for every y, x is y squared,

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6 0
3 years ago
URGENT! If you get the correct answer, you will get a BRAINLIEST!
trasher [3.6K]

Answer:

x_{1} =  - 2 -  \sqrt{2}  \\ x_{2} = - 2 +  \sqrt{2}

5 0
3 years ago
30 Points, 5 stars, thanks and Brainliest if answered correctly because I feel generous.
wlad13 [49]

Find the difference between each number:

-24/4 = -6

144/-24 = -6

The next number is multiplied by -6

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5th term = -864 x -6 = 5184

6th term = 5184 x -6 = -31,104

7th term = -31,104 x -6 = 186,624

8th term = 186,624 x -6 = -1,119,744

4 0
3 years ago
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tatuchka [14]
12x40=480
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Mercury has a freezing point of -38 degrees F. Water has a freezing point of 32 degrees F. What is the difference?
Svetlanka [38]

Answer:

70

Step-by-step explanation:

Take the absolute value of both numbers. In this case, -38 and 32. So 38 and 32.

Add: 38+32

70

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3 years ago
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