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Finger [1]
3 years ago
11

8y - 1 = x 3x = 2y Solve the system of equations by substitution. (1/33, 1/11) (1/11, 3/22) no solution coincident

Mathematics
1 answer:
Len [333]3 years ago
3 0
Hello!

8y - 1 = x
3x = 2y

Put what x equals in the first equation in place of x in the second equatoin

3(8y - 1) = 2y

Distribute the 3

24y - 3 = 2y

Subtract 24y from both sides

-3 = -22y

Divide both sides by -22

y = 3/22

Now we put y into the first equation

8(3/22) - 1 = x

Multiply

12/11 - 1 = x

Subtract

1/11 = x

The answer is (1/11, 3/22)

Hope this helps!
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I need a answer asap Please!!
Ganezh [65]

Answer:

The ordered pairs (3 , 6) , (5 , 10) show a proportional relationship ⇒ last answer

Step-by-step explanation:

* Lets explain how to sole the problem

- Proportional relationship describes a simple relation between

 two variables

- In direct proportion if one variable increases, then the other variable

 increases and if one variable decreases, then the other variable

 decreases

- In inverse proportion if one variable increases, then the other variable

 decreases and if one variable decreases, then the other variable

 increases

- The ratio between the two variables is always constant

- Ex: If x and y are in direct proportion, then x = ky, where k

 is constant

 If x and y in inverse proportion, then x = k/y, where k is constant

* Lets solve the problem

# Last table

∵ x = 3 and y = 6

∴ x/y = 3/6 = 1/2

∵ x = 5 and y = 10

∴ x/y = 5/10 = 1/2

∵ 1/2 is constant

∵ x/y = constant

∴ x and y are proportion

* The ordered pairs (3 , 6) , (5 , 10) show a proportional relationship

7 0
3 years ago
Find the length of side x in the simplest radical form with a rational denominator​
barxatty [35]

Answer: 10√3 / 3

Step-by-step explanation:

cos 30 = 5 / x

x = 5 / cos 30

= 5 / √3 / 2

= 10 √3

= 10√3 / 3

3 0
3 years ago
Read 2 more answers
Help plssssssssssssss
Svet_ta [14]
I believe it is option 2, sorry if incorrect
4 0
3 years ago
Dawn comma Sergio comma Tyrone comma and Jim have all been invited to a dinner party. They arrive randomly and each person arriv
professor190 [17]

Answer:

a. 24

b. 2

c. 0.0833 = 8.33%

Step-by-step explanation:

a.

The first "slot" of person to arrive has 4 possibilities, then the second "slot" will have 3 possibilities, as one has already arrived, then the third "slot" has 2 possibilities, and the fourth "slot" has just 1 possibility.

So, multiplying all these combinations, we have 4*3*2*1 = 24 possible ways they can arrive

b.

If the first and the last person are already "locked", we just have possibilities for the second and third person. The second will have 2 possibilities (Sergio or Tyrone), and the third will have only 1 (the person that wasn't the second between Sergio and Tyrone). So, the number of possibilities is 2*1 = 2

c.

If we have 2 cases where Dawn is first and Jim is last, from a total of 24 possible cases, the probability is 2/24 = 1/12 = 0.0833 = 8.33%

3 0
3 years ago
Q(–1, a) is 4 5 units away from P(3, –2). Find all possible values of a
Natali [406]

Answer:

Step-by-step explanation:

Using the formula for calculating the distance between 2 points.

D = √(x2-x1)²+(y2-y1)²

Given

D = 45 units

The coordinates Q(–1, a) and P(3,2)

45 = √(3-(-1))²+(-2-a)²

45 = √4²+(-2-a)²

45 = √16+(-2-a)²

45² = 16+(-2-a)²

45² = 16+4+4a+a²

45² = 20+4a+a²

a²-4a+20-2025 = 0

a²+4a-2005 = 0

a = -4±√16+4(2005)/2

a = -4±√16+8020/2

a = -4±√8036/2

a =  -4±90/2

a = -4+90/2

a = 86/2

a = 43

The possible values of a is 43

5 0
3 years ago
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