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Alex17521 [72]
4 years ago
12

Eliminate the y in the following system of equations. What is the result when you add the two equations?

Mathematics
2 answers:
inysia [295]4 years ago
5 0

Answer:

C

Step-by-step explanation:

x + y = 2

Subtract x from both sides;

y = -x + 2

3x - 4y = 27

Substitute y;

3x - 4(-x + 2) = 27

Distribute;

3x + 4x - 8 = 27

7x - 8 = 27

Add 8 to both sides;

7x = 35

Divide both sides by 7;

x = 5

SOVA2 [1]4 years ago
4 0
C is the answer. x=5
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\bf \stackrel{\textit{\underline{t} varies inversely with \underline{r}}}{t = \cfrac{k}{r}} \qquad \qquad \qquad \textit{we also know that } \begin{cases} t=2.5\\ r=400 \end{cases} \\\\\\ 2.5=\cfrac{k}{400}\implies 1000=k~\hfill \boxed{t = \cfrac{1000}{r}} \\\\\\ \textit{when r = 500, what is \underline{t}?}\qquad \qquad t = \cfrac{1000}{500}\implies t=2

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Shkiper50 [21]

Answer:

-(x^2-3)(x^2+7) Is the answer

Step-by-step explanation:

The first term is,  x4  its coefficient is  1 .

The middle term is,  +4x2  its coefficient is  4 .

The last term, "the constant", is  -21

Step-1 : Multiply the coefficient of the first term by the constant   1 • -21 = -21

Step-2 : Find two factors of  -21  whose sum equals the coefficient of the middle term, which is   4 .

     -21    +    1    =    -20

     -7    +    3    =    -4

     -3    +    7    =    4    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -3  and  7

                    x4 - 3x2 + 7x2 - 21

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x2 • (x2-3)

             Add up the last 2 terms, pulling out common factors :

                   7 • (x2-3)

Step-5 : Add up the four terms of step 4 :

                   -(x^2-3)(x^2+7)

            Which is the desired factorization

(Hope this helps can I pls have brainlist (crown) ☺️)

5 0
3 years ago
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