Y = A system of equations. Y equals StartFraction 2 over 3 EndFraction x plus 3. X equals negative 2.X + 3 x = –2

Answers

Answer 1

Answer: The solution is the pair (-2, 5/3)

Step-by-step explanation:

The system of equations is:

y = (2/3)*x + 3

x = -2

When we have a system of equations, we usually start by isolating one of the variables in one of the equations and then replacing it in the other ones (in that way, we can "remove" variables, until we have only one and we can solve the problem)

In this case, we have already isolated the variable x in the second equation, then we can just replace it in the first one, to get:

y = (2/3)*(-2) + 3

y = -4/3 + 3 = -4/3 + 9/3 = (-4 + 9)/3 = 5/3

y = 5/3

Then the solution of this system is

x = -2

y = 5/3

Which also can be represented with the ordered pair (-2, 5/3)


Related Questions

Write an algebraic expression for each situation for 22 divided by s

Answers

Answer:

s/22? i think thats one way

Step-by-step explanation:

pls help i will give brainliest

Answers

Answer:

A

Step-by-step explanation:

Pls check my answers i don’t know if they’re correct

Answers

Answer:

Yes, you have it right

Step-by-step explanation:

The ratio is 2-1, with the length being 1, and the width being 2. The width is always going to be 2 times the amount of length. And you have done it right here. Nice job!

Need a little with this math Question

Answers

Answer:

it would be the third one ( 0,3)

On average, a car will depreciate by about 21% of its value each year. If a
new car costs $20,000, which equation can be used to find the
approximate number of years, n, the car takes to reach a value of $7,790?

Answers

Answer: D

Step-by-step explanation:

i need help
4x+2=2(x+6)

Answers

Answer:

x = 5

Step-by-step explanation:

Answer:

X=5

Step-by-step explanation:

Hi!!! CLICK HERE!!! please answer this question well :)) i'll try to give brainliest when i can! thanks guys.

Answers

Step-by-step explanation:

its too blurry I can't see the numbers

Can you please take an image that is more clear than this? I barely see the numbers and I don’t want to answer you question wrongly

Sally is 4 years older than Brody. Evelyn is 3 times older than Brody. If Brody's age is represented by x, create an expression that represents the total age of all three people.
A.4x+4
B. 5x
C.5x+4
D.7x

Answers

Answer:

Its C. 5x +4

Step-by-step explanation:

The expression that represents the total age of all three people is f(x) = 5x + 4.

What is a mathematical function, equation and expression?function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.

Given is that Sally who is 4 years older than Brody. Evelyn is 3 times older than Brody.

Assume that Brody's age is represented by [x]. Then, the age of Evelyn will be (3x) and the age of Sally would be (x + 4). The expression that represents the total age of all three people is -

f(x) = x + (x + 4) + 3x = 5x + 4

f(x) = 5x + 4

Therefore, the expression that represents the total age of all three people is f(x) = 5x + 4.

To solve more questions on functions, expressions and polynomials, visit the link below -

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every day of the week sam's swim shop offers a different deal to its loyal customers. if the total price neil paid was $92.30 and it would normally cost $142.00, what percent off was the daily deal?

Answers

Answer:

$48.60

it would cost up to that much because

Move values to the lines to complete the sentence about triangle p’ q’ r’

Answers

Do u have an attachment?? :)

GOOD AT MATH!! PLEASE HELPPP

Answers

Square root of 13^2 - 12^2 = 5

Answer:

B. 5

Step-by-step explanation:

Use the pythagorean theorem to solve: [tex]a^{2}[/tex]+[tex]b^{2}[/tex]=[tex]c^{2}[/tex].

[tex]a^{2}[/tex]+[tex]12^{2}[/tex]=[tex]13^{2}[/tex]

[tex]a^{2}[/tex]+144=169

Subtract 144 from 169.

[tex]a^{2}[/tex]-144=169-144

[tex]a^{2}[/tex]=25

Square root to get a.

[tex]\sqrt{a}[/tex]=[tex]\sqrt{25}[/tex]

a= 5

Subtract 4x2 – 7x +6 from 2x2 – 5x – 4. Express as a trinomial

Answers

Answer: -2x²+2x-10

Step-by-step explanation:

Rephrase the expression

Subtract 4x²-7x+6 from 2x²-5x-4

(2x²-5x-4)-(4x²-7x+6)

Expand parenthesis

2x²-5x-4-4x²+7x-6

Put like terms together

(2x²-4x²)+(7x-5x)-(4+6)

Combine like terms

-2x²+2x-10

Hope this helps!! :)

Please let me know if you have any questions

You have purchased a 30-pound case of lemons that has a count size of 96. About how many ounces would each lemon weigh?

Answers

Answer:

I think it would be 3.2 ounces because 96 divided by 30 is 3.2

Step-by-step explanation:

A boxer punches a sheet of paper in midair and brings it from rest up to a speed of 20m/s in 0.044 S

Answers

Complete Question:

A boxer punches a sheet of paper in midair and brings it from rest up to a speed of 20m/s in 0.044 Seconds.

a. what acceleration is imparted to the paper?

b. if the mass of the paper is 0.003 kg, what force does the boxer exert on it?

c. how much force does the paper exert on the boxer?

Answer:

a. Acceleration = 454.55m/s².

b. Force = 1.36N

c. Force = -1.36N

Step-by-step explanation:

Given the following data;

Final velocity = 20m/s

Time = 0.044 seconds.

Since the paper is at rest, we know that it's initial velocity is equal to 0m/s.

a. To find acceleration;

Mathematically, acceleration is given by the equation;

[tex]Acceleration (a) = \frac{final \; velocity - initial \; velocity}{time}[/tex]

Substituting into the equation, we have;

[tex]a = \frac{20 - 0}{0.044}[/tex]

[tex]a = \frac{20}{0.044}[/tex]

Acceleration = 454.55m/s²

b. To find the force exerted by the boxer;

Mass = 0.003kg

Force = mass * acceleration

Force = 0.003 * 454.55

Force = 1.36N

c. To find the force exerted by the paper;

According to Newton's third law of motion which states that, for every action there is an equal and opposite reaction. Therefore, the paper exerts an equal but opposite force on the boxer.

Force = -1.36N

In the zoo, there are 12 elephants, 8 giraffes, 9 lions, 10 seals, and 16 otters.

What is the ratio of elephants to all the animals at the zoo?

Answers

Answer:

12:55

Step-by-step explanation:

12 + 8+ 9 + 10 + 16 = 55

hope this helps :)

Answer:

16/55  

Step-by-step explanation:

If you add all the animals together then put it in fraction form you have 16/55

Help needed ASAP!
Write a polynomial equation of degree 4 that has the following roots: -1 repeated three times and 4.

Answers

Answer:

[tex] {x}^{4} - {x}^{3} - {9x}^{2} - {11x}^{2} - 4 [/tex]

Step-by-step explanation:

Since the roots are -1,-1,-1 and 4 we can that as.

[tex](x + 1)(x + 1)(x + 1)(x - 4)[/tex]

x+1=0, x equal -1, and x-4=0 and x equal 4. Then apply the foil method to one at a time and you equal the answer above.

96/38n X 25/45 (multiplying rational expressions .simplify.)

Answers

Alegbra problems

[tex] \frac{96}{38} \frac{25}{45} [/tex]

That's my answer I hope it helps #brainliestbunch - _ - ;)
Alegbra problems

[tex] \frac{96}{38} \frac{25}{45} [/tex]

That's my answer I hope it helps #brainliestbunch - _ - ;)

Help ASAP please Ahhhhh

Answers

Answer:its A

Step-by-step explanation:

Answer:

Your answer would be A. Your welcome

who do you solve this? ​

Answers

Answer:18

Step-by-step explanation: the other side is 20 and there the same length so y is 18 because 18+2=20

What expressions are equivalent to X+2y+X+2
A. 2(x+y+1)
B. 2x+4y+4
C. None of the above
Plz help

Answers

The answer should be A because if you simplify X+2y+X +2 your answer would be 2x+2y+2 and if you calculate A it is the same.

Evaluate 2x + 4 if x=5. Please help me I will give your 5 stars !!!

Answers

Answer:

14

Step-by-step explanation:

2(5)+4

10+4

14

Answer:

2x + 4

x = 5

2(5) + 4

10 + 4

14

Answer is 14.

Step-by-step explanation:

Just substitute 5 for x :)

Nine friends share 8 bags of trail mix equally.what fraction of a bag of trail mix does each friend get?

Answers

Answer:

By doing 3 divided by 5, you will get 3/5 of trail mix per person.

Step-by-step explanation:

The fraction of a bag of trail mix each friend gets will be 8/9.

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.

Nine friends share 8 bags of trail mix equally.

Then the fraction of a bag of trail mix each friend gets will be given by the division of the number 8 by 9. Then the fraction is given as,

⇒ 8 / 9

The fraction of a bag of trail mix each friend gets will be 8/9.

More about the Algebra link is given below.

https://brainly.com/question/953809

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The sum of two numbers is 55. The smaller number is 13 less than the larger number. What are the numbers?

Answers

Answer:

21 and 34.

Step-by-step explanation:

21 is 13 less than 34 and the sum of them is 55.

Help guys?
What is the length of QR if thetaθ = 56° and RS = 31? Round to the nearest hundredth.

Answers

Answer:

dufjrjgjfjfjcjcjcjcjfjf

Step-by-step explanation:

fjfjdjfjfjfjfux

their ifug if do live Oro oe8. rock rocket ka for el of since iritable fist

Answer:i dunnoStep-by-step explanation:


Lucy uses a code to open a lock.
The code is a letter followed by a 2-digit number.
The letter is L or U.
The number is a prime number between 20 and 30
Write down all the possibilities for Lucy's code.

Answers

Answer:

L23

L29

U23

U29

Step-by-step explanation:

We have two elements for the code:

Letter: The options are L and U.

Number: A prime number between 20 and 30, the options here are:

23, 29 (These are the only two prime numbers between 20 and 30)

Then the possible combinations are:

L23

L29

U23

U29

Level 1
Question
1
T is inversely proportional to N.
When T = 30, N = 5.
(a) Find an equation connecting T and N.
(b) Work out the value of T when N = 10
(C) Work out the value of N when T = 25
*

Answers

T ∝1/N
T=k/N
30=k/5
K=150
T=150/N thats a
T=150/10 T is 15 for b
25=150/N N is 6 for c

Answer:

a)T=k/N

b)T=15

c)N=6

Step-by-step explanation:

kindly see attached


Simplify:
3 (2x - 4)

Answers

Answer:

Step-by-step explanation:

Solve for x

5/6 = x/4

Answers

Answer:

hi

Step-by-step explanation:

hi

Answer:

it would be x= 10/3

Step-by-step explanation: If this answer is incorrect my apologies.

In ΔSTU, the measure of ∠U=90°, TS = 41, UT = 9, and SU = 40. What is the value of the sine of ∠S to the nearest hundredth?

Answers

Answer:

Step-by-step explanation:

sinS = 9/41 ≅ 0.22°

PLease HELLLPPPPP I NEED HELP

Answers

Answer: I don’t know...... sorry

Step-by-step explanation:

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