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Amiraneli [1.4K]
3 years ago
7

Find the value of Q in the system so that the solution to the system is

Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
8 0
 x -3y = 4  multiplie both sides by -2 => -2x +6y = -8 
2x +Qy = 8

-2x +6y = -8
 2x +Qy = 8
------------------ assume the same terms 
  0 6y +Qy = 0

6y +Qy = 0 

Qy = -6y  divide both sides by y and will get 

Q = -6
 
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The <em>algebraic</em> expression x^{10/3} is equivalent to the <em>algebraic</em> expression x^{3}\cdot \sqrt[3]{x}. Thus, the right choice is option D.

<h3>How to apply power and root properties to rewrite a given expression</h3>

In this question we must apply the following set of <em>algebraic</em> properties to simplify a given expression:

x^{m/n} = \sqrt[n]{x^{m}} = \left(\sqrt[n]{x}\right)^{m}   (1)

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Where:

  • <em>m</em>, <em>n</em> - Exponents
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And also by apply the definition of power.

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The <em>algebraic</em> expression x^{10/3} is equivalent to the <em>algebraic</em> expression x^{3}\cdot \sqrt[3]{x}. Thus, the right choice is option D.

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