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4 years ago

Solve this system of linear equations. Separate

Mathematics

1 answer:

Gelneren [198K]4 years ago

7 0

Answer:

x 2 y -4

Step-by-step explanation:

13x = -54 -20y give it is A

-10x = 60 + 20y give it is B

A + B the sum of the left side of equation is equal to the sum of the right side of equation

13 + (-10x) = -54 -20y + 60 + 20y

3x = 60-54

3x = 6

x=2

so put the x value in A or B equation you can receive y value (B is easier)

y = -4

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Subtract and simplify answer.

Schach [20]

$(s^2+5st-9t^2)-(2s^2-2st+2t^2)=\\\\=s^2+5st-9t^2-2s^2+2st-2t^2=\\\\=s^2-2s^2-9t^2-2t^2+5st+2st=\boxed{-s^2-11t^2+7st}$

7 0

3 years ago

Read 2 more answers

Tiffany earned a 90% on her math test. There were 50 questions on the test. How many questions did Tiffany answer correctly?

stellarik [79]

45/50
45 divided by 50 = 0.9
90%

3 0

3 years ago

7. A large population of ALOHA users manages to generate 60 requests/s, including originals and retransmissions. Time is slotted

Debora [2.8K]

Answer:

P(success at first attempt) = 0.1353

Step-by-step explanation:

This question follows poisson distribution. Thus, the formula is;

P(k) = (e^(-G) × (G)k)/k!

where;

G is number of frames generated in one frame transmission time(or frame slot time)

Let's find G.

To do this, we need to find number of frames generated in 1 slot time which is given as 50 ms.

Now, in 1000 ms, the number of frames generated = 50

Thus; number of frames generated in 50 ms is;

G = (50/1000) × 50

G = 2.5

To find the chance of success on the first attempt will be given by;

P(success at first attempt) = P(0) = e^(-G) = e^(-2) = 0.1353

8 0

3 years ago

Pls help me with this

nevsk [136]

Answer is C.

3x and 4x² are not like terms, as their exponents do not share the same power (3x has a power of 1, 4x² has a power of 2)

5 0

3 years ago

Phil's age is 7 years more than 1/5 times than Peter's age . Also , 4 times Phil's age is 2 years less than twice Peter's age. I

OverLord2011 [107]

Answer:

x=25

Step-by-step explanation:

we know that "x" is Peter's age

assume that "y" is Phil's age

In the sentence "Phil's age is 7 years more than 1/5 times than Peter's age" are two things: "Phil's age": y and "1/5 times Peter's age": 1/5 x

create equation with these two things

y = 1/5 x

including "7 years more"

many people make a lot of errors with it, they dont know: y+7 = 1/5 x or y=1/5 x + 7 ?

in order to avoid mistakes

read the sentence and point, which: y or 1/5 x is greater and smaller

"Phil's age is 7 years more than ..."

so y is greater, and 1/5 x smaller

y = 1/5 x

greater = smaller

we must add 7 to smaller number to make an equality

greater = smaller + 7

y = 1/5 x + 7

Second sentence:

"4 times Phil's age is 2 years less than twice Peter's age."

Two things: "4 times Phil's age": 4y and "twice Peter's age": 2x

4y = 2x

read the sentence once again

"4 times Phil's age is 2 years less than (...)" , so 4y - smaller, 2x - greater

4y = 2x

smaller = greater

including "2 years less" we add 2 to a smaller number

smaller + 2 = greater

4y + 2 = 2x

Substitute y=1/5 x + 7 to the equation 4y+2 = 2x

$4(\frac15x+7)+2=2x\\ \frac45x+28+2=2x\\ 30=2x-\frac45x\\ 30=1\frac15x\\ \frac65x=30\ \ \ |\cdot 5\\ 6x=150 \ \ \ \ |:6\\ \boxed{x=25}$

3 0

3 years ago