Solve the simultaneous equation..

[tex]x - 2y = 1 \\ y {}^{2} - 3xy + 8 = 0[/tex]

Answers

Answer 1
x-2y = 1 -----> equation (1)

y²-3xy + 8 = 0 -----> equation (2)


so equation (1) is x = 1 + 2y

now we will put equation (1) in equation (2)

y² - 3xy + 8 = 0

y² - 3 (1+2y) y + 8 = 0

y² - 3y - 6y² + 8 = 0

-5y² - 3y + 8 = 0

5y² + 3y - 8 = 0

(5y+8) (y-1) = 0

5y + 8 = 0
5y = -8
y = -⁸/₅


y-1 = 0

y = 1


so y = -⁸/₅ and y = 1

for y₁
x = 1 + 2y

x = 1 + 2(-⁸/₅)

x = 1 - ¹⁶/₅

x = -¹¹/₅

for y = 1

x = 1 + 2y

x = 1 + 2(1)

x = 1 + 2

x = 3




so (x₁,y₁) = (-¹¹/₅ , -⁸/₅)

and (x₂,y₂) = (3 , 1)

Related Questions

What is the range?
0 0 -8
-3 -9
-9 0
Submit

Answers

Answer:

9

Step-by-step explanation:

in order to find the range of a given set of numbers, you find the difference between the biggest and smallest numbers. So here, it would be -9 and 0. The range is 9.

60% of what number is 21

Answers

Answer:

35

Step-by-step explanation:

21/3=7, which would be 20% of your number

7×5=35 (20% goes into 100 5 times)

Answer: 35.

60% times x = 21

what’s the equation of the line shown above?

Answers

Answer:

answer is B)y=3x+2

Step-by-step explanation:

here ya go, have a nice day

btw if you can give me brainliest it will help a lot, thanks

How make minutes are in 2/3 ?

Answers

Answer:

To find 2/3 of an hour first we will divide 1 hour that is 60 minutes into 3 parts. So we will get 20 minutes. So we 2parts out of 3 parts of an hour so we get 20X2=40minutes

Step-by-step explanation:

the percent of sales tax is 6%. what is the total cost for a skateboard that cost $98. also, what is the sales tax?

Answers

$98×6/100

sales tax =$5.88

$98+$5.88

total cost =$103.88

Why did investors start using ticker symbols?
A. It was faster to move news using telegraphs with short names
B. Investors liked to use "Text Speak" to communicate in code
C. To confuse "casual investors and keep trading to professionals
D. It makes it faster to look up multiple companies at a time on a computer

Answers

Answer:

D?

Step-by-step explanation:

The company names were shortened down to 1-5 character because there were hundred of companies being traded and prices being updated every minute so to make it easier they made ticker symbols. It’s either A or D but i’m pretty sure it’s D..

8
If u =
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Answers

Let's solve for v.

v=−7i+11

Answer:v=−7i+11

Step-by-step explanation: Hope you understand. Hope this help :)

Let's simplify step-by-step.

11i+7j

There are no like terms.

Answer:=11i+7j

Find the measure of the angle x. Please help!

Answers

360 - (75 + 75 + 105) = 105

First to answer gets brainliest

Answers

Answer:

Answer choice three is correct

:) ur welcome!

52% of what number of 109

Answers

Answer:

209.615384

Step-by-step explanation:

Answer:

if you buy an item at $109 with $52 discounts, you will pay $57 and get 47.71% discount.

Step-by-step explanation:

there are some some coloured pins in a bag.
the pins can be green, yellow, purple or grey.

Answers

Answer:

the probabilyty of picking green three times is 1/3 i dont know the rest

Step-by-step explanation: have a nice day

Please help in this

Answers

Explanation is in the file

tinyurl.com/wpazsebu

What type of punishment did the police officer give to the air pollution?

Answers

Answer:

Mistm Demeanor I think.. Hope this helps, tell me if it's incorrect!

Step-by-step explanation:

A police officer can not punish air pollution but can enforce laws and regulations to protect the environment.

What is air pollution?

Air pollution means the presence of harmful substances in the air that can cause harm to all living beings.

We have,

Air pollution is not a living being so it can not be punished by a police officer.

A police officer or government authorities can enforce laws and regulations to reduce air pollution to protect all living beings and the environment.

Some of the measures are:

- Setting emissions standards for automobile and related industries

- Promoting the use of clean energy resources.

- Encouraging individuals and entities to adopt sustainable practices

Thus,

A police officer can not punish air pollution but can enforce laws and regulations to protect the environment.

Learn more about air pollution here:

https://brainly.com/question/18951513

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What is the measure of angle x?

Answers

Answer:

x = 47

Step-by-step explanation:

Because the angles of a triangle add up to 180, you can just use subtraction to find out what the missing angle is.

i need it rn plzzzzzzzzzzzzzzzzzzzzzzzzzzzzz

Answers

9514 1404 393

Answer:

  ∠B = ∠C = 138°

  ∠D = 42°

Step-by-step explanation:

Angles between the parallel bases are supplementary:

  ∠B = 180° -∠A = 180° -42° = 138°

Right-side angles are the same measure as their mirrors across the line of symmetry.

  ∠C = ∠B = 138°

  ∠D = ∠A = 42°

are the ratios 2:3 and 10:18 equivalent


YES OR NO​

Answers

Answer:

NO

Step-by-step explanation:

an equivalent ration to 2:3 would be 10:15. because when you simpliy 10:15 the most you can you would get 2:3. where as 10:18 is not equal

Yes they are equivalent

Can somebody help with this please stuck on it

Answers

Answer:

The Answer is 400

Step-by-step explanation:

how many hours is one quarter of a day?​

Answers

Answer:

6

Step-by-step explanation:

24/4 is 6, making there be six hours in a quarter of a day

4^(5 )Identify the base and the exponent in the following expression.

4 is the ______ and the 5 is the _______

Answers

Answer:

4 is the BASE and 5 is the EXPONENT

Step-by-step explanation:

Thx i needed this answer :P

The number 5 is the exponent or power and the number 4 is the base of the expression.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The exponential expression is given as,

⇒ (4)⁵

In the exponential expression aⁿ, the n is the exponent or power and a is the base of the expression.

Then in the exponential expression (4)⁵, the number 5 is the exponent or power and the number 4 is the base of the expression.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

write an equation with slope of negative 2 for (3, -4)​

Answers

Answer:

y = - 2x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 2 , then

y = - 2x + c ← is the partial equation

To find c substitute (3, - 4) into the partial equation

- 4 = - 6 + c ⇒ c = - 4 + 6 = 2

y = - 2x + 2 ← equation of line

Which Quadrant does the point (-3, 4) belong to? A. Quadrant I B. Quadrant II C. Quadrant III D. Quadrant IV

Answers

We need a graph or picture then I can answer

Answer:

4

Step-by-step explanation:

An unfair coin with a probability of tails as 0.55 is tossed 8 times. Find the probability that a tail shows up more than 2 times.

Answers

Answer:

0.9115

Step-by-step explanation:

Using a binomial probability function :

P(x =x) = nCx * p^x * (1 - p)^(n - r)

Probability of success, p = 0.55

1 - p = 1 - 0.55 = 0.45

n = 8

x = 2

P(x > 2 ) = p(x = 3) + p(x = 4) + p(x = 5) + p(x = 6) + p(x = 7) + p(x =8)

To save computation time, we could use the binomial probability calculator :

P(x > 2 ) = 0.9115

What is the arc length of the partial circle?

Answers

Answer:

pi/2

Step-by-step explanation:

The arc length is based on the circumference

c = 2 * pi *r

C = 2 * pi *1 = 2pi

This is 1/4 of the circle so the arc length given is 1/4 of the arc length

arc length = 1/4 ( 2pi)

                  = pi /2

Solve the inequality. (Enter your answer using interval notation.)
x^2 ≤ 81

Answers

Answer

the answer is -9≤x≤9

Answer:

x = (-9,9)

Step-by-step explanation:

|x |< 9 - seperate the inequality into 2 possible cases

1. x<9, x>0   -x<9, x<0

find the intersection

x = (0,9)    -x<9, x<0

find the intersection again

x = (0,9)   x = (-9,0)

find the union

x = (-9,9)

In the figure shown below, if line l is parallel to line m, then x =
е l
200
65°
m

Answers

Answer:

115

Step-by-step explanation:

c

Answer:

Step-by-step explanation:

A piece rare worker is paid __

Answers

The worker is paid a fixed rate for each item produced or each action performed

I need to do this no silly answers tho I’ll mark ❗️Brainlyist❗️ if answered correctly!!!

Answers

Answer:

that will be 270 ÷ 3 boy.....

Answer:

A

Step-by-step explanation:

[tex]3x \geqslant 270 \\ x \geqslant \frac{270}{3} \\ x \geqslant 90[/tex]

Plz help plz
What specific measure of a geometric figure is shown in the image?

A. A 15° angle

B. A 180 mm side length

C. A 165 mm side length

D. A 165° angle

Answers

Answer:

A 165° angle

Step-by-step explanation:

I zoomed in on the picture and it was a 165° angle

Find the slope of the line that passes through -3,62 and 93,82

Answers

Answer:

5/24

Step-by-step explanation:

What is the perimeter of the triangle?

Answers

Answer:

30

Step-by-step explanation:

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