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g100num [7]
3 years ago
5

851.643 as a mixed number

Mathematics
1 answer:
Scorpion4ik [409]3 years ago
8 0

Answer:

851 and 643/1000

Step-by-step explanation:

use a calculator yeet actually just like take the second part and put it over thousandths

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Are the equations 2x - y = - 4 and 3x + y = -1 dependent, independent or neither
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Answer:

From the above calculations, it is clear that the consistent system has exactly one solution i.e. x = -1, y =2, therefore, it is independent.

Step-by-step explanation:

Given the system of equations

\begin{bmatrix}2x-y=-4\\ 3x+y=-1\end{bmatrix}

\mathrm{Multiply\:}2x-y=-4\mathrm{\:by\:}3\:\mathrm{:}\:\quad \:6x-3y=-12

\mathrm{Multiply\:}3x+y=-1\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:6x+2y=-2

\begin{bmatrix}6x-3y=-12\\ 6x+2y=-2\end{bmatrix}

6x+2y=-2

-

\underline{6x-3y=-12}

5y=10

so the system of equations becomes

\begin{bmatrix}6x-3y=-12\\ 5y=10\end{bmatrix}

solving 5y = 10 for y

5y=10

Divide both sides by 5

\frac{5y}{5}=\frac{10}{5}

simplify

y=2

\mathrm{For\:}6x-3y=-12\mathrm{\:plug\:in\:}y=2

6x-3\cdot \:2=-12

6x-6=-12

Adding 6 to both sides

6x-6+6=-12+6

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x=-1

Therefore, the solution to the system of equations be:

x=-1,\:y=2

From the above calculations, it is clear that the consistent system has exactly one solution i.e. x = -1, y =2, therefore, it is independent.

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