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maks197457 [2]
3 years ago
8

How can I solve this system of equation with substitution u+6y=32 and u+3y=17

Mathematics
2 answers:
Ne4ueva [31]3 years ago
6 0

U+6y=32 U+3y=17

Solve U+6y=32 for u

Add -6y to both sides

U+6y-6y=32-6y U= -6y+32

Substitute -6y+32 for U in U+3y=17 U+3y=17 -6y+32+3y=17

Simplify both sides of the equation -3y+32=17

Add -32 to both sides -3y+32-32=17-32 -3y=-15

Divide both sides by -3 -3y/-3 = -15/-3 Y=5

Substitute 5 for y in U=-6y+32 U= -6y+32

U= (-6)(5)+32 u= -30 +32 U= 2

Answer : U= 2 and Y=5

I hope that's help and have a great night !

gayaneshka [121]3 years ago
5 0
U= 32 - 6y
u = 17 - 3y

Step 1
32 - 6y = 17 - 3y

Step 2
-6y + 3y = 17 - 32

Step 3
-3y = - 15

Step 4
3y = 15

Step 5
y = 15/3

Step 6
y = 5
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3 years ago
On Texas Avenue between University Drive and George Bush Drive, accidents occur according to a Poisson process at a rate of thre
Zarrin [17]

Answer:

(a) The probability is 0.6514

(b) The probability is 0.7769

Step-by-step explanation:

If the number of accidents occur according to a poisson process, the probability that x accidents occurs on a given day is:

P(x)=\frac{e^{-at}*(at)^{x} }{x!}

Where a is the mean number of accidents per day and t is the number of days.

So, for part (a), a is equal to 3/7 and t is equal to 1 day, because there is a rate of 3 accidents every 7 days.

Then, the probability that a given day has no accidents is calculated as:

P(x)=\frac{e^{-3/7}*(3/7)^{x}}{x!}

P(0)=\frac{e^{-3/7}*(3/7)^{0}}{0!}=0.6514

On the other hand the probability that February has at least one accident with a personal injury is calculated as:

P(x≥1)=1 - P(0)

Where P(0) is calculated as:

P(x)=\frac{e^{-at}*(at)^{x} }{x!}

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