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maw [93]
3 years ago
8

Solve the following system of equations -7x+2y=9, -8x+9y=17

Mathematics
2 answers:
emmasim [6.3K]3 years ago
5 0
\left\{\begin{array}{ccc}-7x+2y=9&|\cdot9\\-8x+9y=17&|\cdot(-2)\end{array}\right\\  \left\{\begin{array}{ccc}-63x+18y=81\\16x-18y=-34\end{array}\right\ |\text{add both sides of equations}\\-47x=47\ \ \ |:(-47)\\.\ \ \ \ x=-1\\\\\text{substitute the value of x to the first equation}\\\\-7(-1)+2y=9\\7+2y=9\ \ \ |-7\\2y=2\ \ \ |:2\\y=1\\\\\text{Answer:}\ x=-1\ and\ y=1\to(-1;\ 1)
umka21 [38]3 years ago
3 0
<span>-7x+2y=9  | * 9</span>
<span>-8x+9y=17  | *(-2)
</span>

<span>-63x + 18y = 81</span>
<span>16x -18y = -34
</span>
<span>_______________ +
</span>
<span>-47x = 47 ⇒ x = -1
</span>

<span>7+2y=9 ⇒ 2y = 9-7 ⇒ y = 1
</span>
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12 x (3 + 2 to the second power) divied by 2 - 10
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Answer:

<h2><u><em>32</em></u></h2>

Step-by-step explanation:

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2 years ago
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Andreyy89

Answer:

I think its 4 because all the other ones are adding half of the original number

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5 0
3 years ago
The length of a rectangular deck is 4 times it’s width. If the deck’s perimeter is 30ft, what is the deck’s area?
ioda

Try this solution (note, this is not the shortest way):

1. if the given length is 'l' and the width is 'w', then according to the condition 4*l=w;

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3. if to substitute '4*l' instead of 'w', the formula of the perimeter (from item no. 2) will be as 2(4*l+l)=30 or 10*l=30 ⇒ l=3 ft. The length is 3 ft.!

4. if l=3 ft., then w=4*3=12 ft. The width is 12 ft.!

5. Area is

A=w*l; A=12*3=<u>36 ft²</u>

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