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antoniya [11.8K]

4 years ago

6

-3x + 4y = 95 x + 5y = 38

1 answer:

NARA [144]4 years ago

7 0

We can solve this by elimination, in order to do this we need to multiply the bottom equation by three to cross out the X

(x+5y=38)3 3x+15y=114

-3x+4y=95
3x+15y=114

then add the two equations together and the X will cancel out

19y=209
----- -----
19 19

y=11

then plug that in into one of the equations

x+55=38
-55 -55

x= -17

your answer is (-17,11)

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kvv77 [185]

Option C: $5 x(4 x+7)(3 x+2)$ is the possible expressions for length, width and height of the prism.

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$5x[\left(12 x^{2}+8 x\right)+(21 x+14)]$

Factoring 4x from the term $12 x^{2}+8 x$ , we get,

$5x[4 x(3 x+2)+(21x+14)]$

Similarly, factoring 7x from the term $21 x+14$ , we get,

$5x[4 x(3 x+2)+7(3x+2)]$

Now, let us factor out $3x+2$ , we get,

$5 x(4 x+7)(3 x+2)$

Hence, the possible expressions for length, width and height of the prism is $5 x(4 x+7)(3 x+2)$

Therefore, Option C is the correct answer.

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3 years ago