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3 years ago

Artaud noticed that if he takes the opposite of his age and adds 40 he gets the number 28. How old Artaud?

Mathematics

2 answers:

igor_vitrenko [27]3 years ago

6 0

Answer:

Step-by-step explanation:

x + 40 = 28

x = -12

exis [7]3 years ago

4 0

Answer: Artaud is 12 years old.

Step-by-step explanation: I started by finding the difference between 40 and 28.

40 - 28 = 12

So since he is taking the opposite of his age he must have done -12 because:

-12 + 40 = 28

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Answer:

$(x,y,z)=(1477, 1464, 1437)$

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Consider the selling of the units positive earning and the purchasing of the units negative earning.

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Thus our system of equations is

$\begin{cases}3x + 5y - 4z = 6000\\2x - 3y + z = 0\\ - x + 4y + 6z = 13000\end{cases}$

Solving the system of equations:

we will consider elimination method to solve the system of equations. To do so ,separate the equation in two parts which yields:

$\begin{cases}3x + 5y - 4z = 6000\\2x - 3y + z = 0\end{cases}\\\begin{cases}2x - 3y + z = 0\\ - x + 4y + 6z = 13000\end{cases}$

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$\implies\begin{cases}11x-7y=6000\\-13x+22y=13000\end{cases}$

Solving the equation for x and y yields:

$\implies\begin{cases}x= \dfrac{223000}{151}\\\\y= \dfrac{221000}{151}\end{cases}$

plug in the value of x and y into 2x - 3y + z = 0 and simplify to get z. hence,

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Tasya [4]

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