Pick 2 pairs of equations t<span>hen use addition and subtraction to eliminate </span>the same variable<span> from both pairs of equations then it is left with 2 variables
</span>Pick two pairs
<span><span>4x - 3y + z = - 10</span><span>2x + y + 3z = 0
</span></span>eliminate the same variable from each system
<span><span>4x - 3y + z = - 10</span>
<span>2x + y + 3z = 0</span>
<span>4x - 3y + z = - 10</span>
<span>-4x - 2y - 6z = 0</span>
<span>-5y - 5z = - 10</span>
<span>2x + y + 3z = 0</span>
<span>- x + 2y - 5z = 17</span>
<span>2x + y + 3z = 0</span>
<span>-2x + 4y - 10z = 34</span>
<span>5y - 7z = 34
</span></span>Solve the system of the two new equations:
<span><span>-5y - 5z = - 10</span>
<span>5y - 7z = 34</span>
<span>-12z = 24</span>
which is , <span>z = - 2</span>
<span>-5y - 5(- 2) = - 10</span>
<span>-5y = - 20</span>
wich is , <span>y = 4
</span></span>substitute into one of the original equations
<span>- x + 2y - 5z = 17</span>
<span>- x + 2(4) - 5(- 2) = 17</span>
<span>- x + 18 = 17</span>
<span>- x = - 1</span>
<span>x = 1</span>
<span>which is , </span><span>(x, y, z) = (1, 4, - 2)</span><span>
</span>Does 2(1) + 4 + 3(- 2) = 0<span> ? Yes</span><span>
</span>
Using the geometric mean concept, it is found that the value of a is 18.
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The geometric mean, of a data-set of n elements, 
, is given by:
![G = \sqrt[n]{n_1 \times n_2 \times ... \times n_n}](https://tex.z-dn.net/?f=G%20%3D%20%5Csqrt%5Bn%5D%7Bn_1%20%5Ctimes%20n_2%20%5Ctimes%20...%20%5Ctimes%20n_n%7D)
That is, the nth root of the multiplication of all elements.
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In this question:
- Two elements(n = 2), a and 34.
Thus:
We find the square of each side, so:
Simplifying both sides by 17:
The value of a is 18.
A similar example is given at brainly.com/question/15010240
Answer:
what is the full question?
Step-by-step explanation:
Answer:
226.2
Step-by-step explanation:
32.5+42.9=75.4
75.4*3=226.2
226.2 is the answer.
Answer: -8x + 12
Step-by-step explanation:
12 will be y-intercept because it crosses the y-axis.
-8 will be slope because it is the rate of change.
