solve the simultaneous equation

Solve The Simultaneous Equation

Answers

Answer 1

Answer:

x = [tex]-\frac{11}{5}, 3[/tex]

y = [tex]-\frac{8}{5},1[/tex]

Step-by-step explanation:

3xy - y² = 8 -------(1)

x - 2y = 1 ------(2)

From equation (2),

x = 2y + 1

By substituting the value of x in equation (1),

3y(2y + 1) - y² = 8

6y² + 3y - y² = 8

5y² + 3y - 8 = 0

5y² + 8y - 5y - 8 = 0

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

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

y = [tex]-\frac{8}{5},1[/tex]

From equation (2),

x = 2y + 1

For y = [tex]-\frac{8}{5}[/tex],

x = [tex]-2(\frac{8}{5})+1[/tex]

x = [tex]-\frac{11}{5}[/tex]

For y = 1,

x = 2(1) + 1

x = 3

Therefore, x = [tex]-\frac{11}{5}, 3[/tex]

                  y = [tex]-\frac{8}{5},1[/tex]


Related Questions

3(p+5)-3(p+2) expand and simplify

Answers

Answer:

its 9

Step-by-step explanation:

Answer:

The answer should be 9.

Step-by-step explanation:

You need to distribute, subtract the numbers and combine like terms.

if i make 25 dollars in 5 hours what would be the constant rate of change

Answers

Answer:

5 would be your answer.

Step-by-step explanation:

The answer is 5 because you have to divide 25 by 5, and you will get 5.

If I'm wrong, please let me know.

Hope this helps.

Have a great day! :)

Answer:

5

Step-by-step explanation:

This is right because you would divide 25 by 5 and you would get your answer. You make $5 every hour

4a - 7 = 5
What is the answer 2 step equation

Answers

Answer:

A= 3

Step-by-step explanation:

4a - 7 = 5

move the constant to the right

4a= 5+7

divide

4a=12

Awnser:

A= 3

Helpppppppppo meeeee plsssss

Answers

Answer:

Step-by-step explanation:

[tex]38.7=[/tex] [tex]38.7 / 10^{2}[/tex]

[tex]38.7= 38.7 times 10^{3}[/tex]

[tex]38.7=38.7 times 10^{4}[/tex]

Hope this helps :)

Quadrilateral ABCD is a parallelogram. Determine the measure of _A.
OA) 96°
B) 78°
C) 52°
OD) 39°

Answers

Answer:

The measure of angle A is: m∠A = 96

Therefore, option A is true.

Step-by-step explanation:

Given

m∠C = 3x

m∠D = x+52

We know that the opposite angles of a parallelogram are also equal.

Determining m∠A

It is clear that A is the opposite angle of C.

i.e.

m∠A = m∠C

as m∠C = 3x

so m∠A = 3x

Determining  m∠B

It is also clear that B is the opposite angle of D.

i.e.

m∠B = m∠D

as m∠D = x+52

so m∠B = x+52

We know that the sum of the angles of a parallelogram is 360°.

so

m∠A + m∠B + m∠C + m∠D = 360°

3x + (x+52) + 3x + (x+52) = 360°

Group like terms

[tex]3x+x+3x+x+52+52=360^{\circ \:}[/tex]

[tex]8x+104=360^{\circ \:}[/tex]

Subtract 104 on both sides

[tex]8x+104-104=360^{\circ \:}-104[/tex]

Simplify

[tex]8x=360^{\circ \:}-104[/tex]

[tex]8x=256[/tex]

Divide both sides by 8

[tex]\frac{8x}{8}=\frac{256}{8}[/tex]

Simplify

[tex]x=32[/tex]

Thus,

The measure of the angle A is:

m∠A = 3x

substitute x = 32

m∠A = 3(32)

m∠A = 96

Hence, the measure of angle A is: m∠A = 96

Therefore, option A is true.

please help! making brainliest if correct

Answers

Answer

SAS because its a side, angle then side

how many solutions does this have? x+2y=3 x-y=6

Answers

Answer:

x = 5 , y = -1

Step-by-step explanation:

x + 2y = 3........(equation 1)

x - y = 6..........(equation 2)

make x the subject of the formula in (equation 1)

x = 3 - 2y

substitute for x in (equation 2)

3x - y = 6

(3- 2y) - y = 6

3 - 2y - y = 6

3 - 3y = 6

-3y = 6 - 3

[tex] \frac{ - 3y}{ - 3} = \frac{3}{ - 3} [/tex]

[tex]y = - 1[/tex]

substitute for y in (equation 1)

x = 3 - 2y

[tex] \times = 3 - 2( - 1)[/tex]

x = 5

Answer:

Uhhh I'll try my best.

The answer to your question is

I’ll do x.

x+2y-2y = 3-2y

(Simplify) x = 3-2y

x-y+y = 6+y

(Simplify) x = 6+y

(Set them equal to each other)

3-2y = 6+y

3-2y-6 = 6+y+2y

-3 = 3y

y = -1

x =

Step-by-step explanation: Hope this helps.

the area of an isosceles triangle is 60 CM square and its base is 10 cm find the length of the equal sides​

Answers

Step-by-step explanation:

Area = (1/2) *b*h

60 =(1/2)*10h

120 =10h

h=120/10

h= 12 cm

From the figure,

AB=BC(since the given triangle isosceles).

AE is perpendicular to BC.

BE =EC = 5cm ( since is AE bisects BC)

AB= h=12cm (height of the isosceles triangle)

Applying Pythagoras theorem in triangle ABE,

AB² = BE²+ AE²

AB² = 5²+12²

AB² = 169

AB =√169

AB= 13 cm

Hence AB=BC =13cm

Length of equal sides =13cm

What's 10 percent off of 10.35

Answers

Answer:

the answer is 9.315

If you help me I’ll give brainliest and 20 points

Answers

Answer:

I believe its 1, 2, and 4

Step-by-step explanation:

hope I helped I may be wrong tho

.................................................

Find the surface area of the prism.



The surface area is square feet.​

Answers

Answer:

10 X 5 = 50, 50 X 2 = 100

10 X 1 = 10 , 10 X 2 = 20

5 X 1 = 5 , 5 X 2 = 10

100 + 20 + 10 = 130 ft squared

Answer these two easy questions i give out brainlest

Answers

Answer: 1) true 2) false

Hello can someone PLEASE PLEASE help me with this question!!!

Answers

Answer:

(465-249) / 9 = Square Feet

Step-by-step explanation:

You do whatever is in the parenthases 1st

Find the third side in simplest radical form

Answers

Answer:

30

Step-by-step explanation:

Kelly goes to the store and buys 9 boxes of cookies. The cost of each box is represented with the letter c. Which expression could you use to show how much money Kelly spent?

Answers

Answer:

9c because you don't know how much money Kelly actually spent so instead of doing 9 x the price of each box, you replace it with c, so it's 9c

Step-by-step explanation:

a) x and y are two numbers taken from the list below.
5
6
7
8
9
10

(i) What values of x and y will make 3x - 2y equal zero?

(ii) Work out the greatest possible value of 3x - 2y.

(iii) Work out the least possible value of 3x – 2y.

b) Find the value of 5(a – 4b) when a = -7 and b = 1​

Answers

Answer:

a) i) The equation is satisfies of the values x = 6 and y=9

ii) The greatest possible value of 3x-2y is  20

iii) The least possible value of 3x – 2y is 2 and '0'

b)

The value of 5(a – 4b)  =  -55

Step-by-step explanation:

Given x and y are two numbers taken from the list below

5  6   7   8   9  10

i)

I will choose  x = 6 and y = 9

3x - 2y = 3 (6) - 2(9) = 18 - 18 = 0

The equation is satisfies of the values x = 6 and y=9

ii)  

we will choose x =10 and y = 5

3x - 2y = 3(10) - 2(5) = 30 -10 =20

The greatest possible value = 20

iii)

we will choose x =6 and y =8

3x - 2y = 3(6) -2(8) = 18-16 =2

we will choose x =6 and y =9

3x - 2y = 3 (6) - 2(9) = 18 - 18 = 0

b)

Given value of 5(a – 4b)

substitute  a = -7 and b = 1​

5(a – 4b) = 5(-7-4(1)) = 5 (-11) = -55

Suppose on an Icelandic sheep farm, there was a sheep pen next to a barn. If the length of the pen is 16 meters and the width is 9 meters, what is the area of the sheep pen?

Answers

Answer:

A = 144 m²

Step-by-step explanation:

Given that,

The length of the pen, l = 16 m

The breadth of the pen, b = 9 m

We need to find the area of the sheep pan. We know that the area of the rectangular shape is given by :

A = lb

Substituting all the values,

A = 16 m × 9 m

= 144 m²

So, the area of the sheep pen is 144 m².

Y=? X=?

HELP ASAP PLEASE

Answers

Answer:

y=1/2x-3

Step-by-step explanation:

I hope you meant slope of the line...

You can find the slope like this-

1/2x= how you move (so m for move)

-3 =where you begin (so b for begin)

So next time you find the slope, just ask yourself where you "begin" (where the line starts) and how you "move" (how the line moves)

Write the equation of the line that passes through the points (-8,3) and (3,2). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.

Answers

(-8,3)-(3,-)6 is que 16%. YES

Visit this online dictionary and search for the definition of justice. Which part of speech is the word justice? Which definition best matches the definition given by the online dictionary?

Answers

Answer:

noun and fairness

Step-by-step explanation:

Giving each person what they deserve, or, in more formal terms, their due, is what is meant by justice. Today, the terms justice and fairness are frequently used interchangeably because of their close relationship. However, there have also been more definite interpretations of the two names.

Justice is noun part of speech.

What do you mean by Speech?

Speech is the ability to articulately express ideas and thoughts through vocal sounds. It is also the act of doing so.

Justice, in its broadest sense, is the idea that people should get what they deserve. However, there are many different fields and viewpoints that have an impact on what is considered to be "deserving," including those that focus on morality as it relates to ethics, reason, law, religion, equity, and fairness. The state will occasionally make an effort to improve justice by running courts and upholding their decisions.

Therefore, Justice means fair treatment and it is noun part of speech.

Learn more about Speech, here;

https://brainly.com/question/29586134

#SPJ2

Which of the following statements is not true?
A. Consecutive angles of a rhombus are supplementary.
B. Diagonals of all parallelograms bisect each other.
C. Trapezoids have exactly one pair of parallel sides.
D. Opposite sides of trapezoids are equal.

Answers

Answer:

A (had to be 20 letters for me to send this :')

Step-by-step explanation:

123456-654321=
eeeeee

Answers

Answer:

−530865

Step-by-step explanation:

hoped I helped:)

What is the equation of the line shown in the graph?

Answers

Answer:

y=4/1x+-3

Step-by-step explanation:

I hope this helps...

19-23 and 26-29 please help
(Image attached)

Answers

Answer:

26.B

27.J

28.B

29. x=40, y=32

Step-by-step explanation:

Answer:

I think its

Step-by-step explanation:

b is 26 sos others dont know

What is 9m^2 -1 in factored form ?

Answers

( 3 m ) 2 − 1 2 i need to make this 20 characters

1 + 1 = 1

if you have 1 piece of bread in one hand and 1 piece of bread in the other hand you smack them together you have 1 BIG bread

Answers

indeed 1+1= +1 very much makes sense but at the same time I’m questioning my life
NUCEWWEWWWWEEEEEEEEEE

Of 3,400 babies in a hospital, 1244 are boys and the rest are girls. What
percentage are girls?

Answers

9514 1404 393

Answer:

  63.4% are girls

Step-by-step explanation:

The percentage that is boys is ...

  1244/3400 × 100% = 36.6%

The remaining fraction is girls:

  100% -36.6% = 63.4% . . . girls

Brainilest to who answers first

Write an
exponential function in the form y
and (2,300).
ab that goes through points (0,12)

Answers

Answer: The exponential function would be

Step-by-step explanation:

Since we have given that

We have points (0,15) and (2,24)

First we take when x= 0, y = 15.

So, our equation becomes,

and we take when x = 2 and y = 240

So, the exponential function would be

The quotient of two algebraic expressions is a fractional expression, and the quotient of two polynomials is

Answers

Answer:

rational expression

Step-by-step explanation:

From the given information:

Since the quotient of two algebraic expressions seems to be a fractional expression,

Then the quotient of two polynomials;

For example:

[tex]\dfrac{1}{w}, \dfrac{2w-1}{w+1} \ or \ \dfrac{w^2-1}{w^2+1}[/tex]  is a rational expression.

What is the solution to the system of equations below?

2x+3y=17

3x+6y=30

Answers

Answer:

Step-by-step explanation:

Multiply first equation by 2.

4x+6y=34

3x+6y = 30

Subtract the equations we get,

x = 4

SUBSTITUTE x in given 1st equation.

2(4)+3y =17

3y=17-8=9

y=3

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