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Svetradugi [14.3K]
4 years ago
10

​−8x+4y=24 ​−7x+7y=28 ​​ What is the solution?

Mathematics
1 answer:
SVETLANKA909090 [29]4 years ago
5 0
​−8x + 4y = 24 -- (1)
​−7x + 7y = 28 -- (2)

Eqn (1) & (2) are simplified as

y - 2x = 6 -- (3)
y - x = 4 -- (4)

By making y the subject of formula in (4), we have

y = x + 4 -- (5)

Substitute x + 4 for y in (3), then

x + 4 - 2x = 6
x - 2x = 6 - 4
- x = 2
x = - 2.

Substitute - 2 for x in (5), then

y = - 2 + 4
y = 2.

Therefore, (x, y) = (- 2, 2) ...Ans.
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Plese read the complete procedure below:

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The polynomial is p(a) = (a^4 - 6a^3 + 3a^2 + 26a – 24)

a)

1   -6   3   26   -24    |<u>  1     </u>

<u>      1   -5   -2    24</u>

1   -5   -2   24    0

The remainder is zero, then (a-1) is a factor of the polynomial

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1   -6   3   26   -24    |<u>  2     </u>

<u>      2  -8   10    72</u>

1   -4   5   36    48

When p(a) is divided by (a-2) the remainder 28/p(a)

1   -6   3   26   -24    |<u> - 4     </u>

<u>    -4  40  172  -792</u>

1   -10  43  198  -816

When p(a) is divided by (a-2) the remainder -816/p(a)

c) I attached an image of the long division below:

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C

Step-by-step explanation:

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Read 2 more answers
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