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pishuonlain [190]
2 years ago
13

Solve for x in the following equation.

Mathematics
1 answer:
KonstantinChe [14]2 years ago
5 0

Hello,

3 {}^{a}  = 3 {}^{b} \Leftrightarrow \: a = b

3 {}^{x}  =  {3}^{2} \Leftrightarrow \: x = 2

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Whitepunk [10]

Compute the differential for both sides:

4<em>y</em> - 3<em>xy</em> + 8<em>x</em> = 0

→   4 d<em>y</em> - 3 (<em>y</em> d<em>x</em> + <em>x</em> d<em>y</em>) + 8 d<em>x</em> = 0

Solve for d<em>y</em> :

4 d<em>y</em> - 3<em>y</em> d<em>x</em> - 3<em>x</em> d<em>y</em> + 8 d<em>x</em> = 0

(4 - 3<em>x</em>) d<em>y</em> + (8 - 3<em>y</em>) d<em>x</em> = 0

When <em>x</em> = 0, we have

4<em>y</em> - 3•0<em>y</em> + 8•0 = 0   →   4<em>y</em> = 0   →   <em>y</em> = 0

and with d<em>x</em> = 0.05, we get

(4 - 3•0) d<em>y</em> + (8 - 3•0) • 0.05 = 0

→   4 d<em>y</em> + 0.4 = 0

→   4 d<em>y</em> = -0.4

→   d<em>y</em> = -0.1

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The answer is going to be 15
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4x-y=2 <br>what is the solution ​
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