4y - 9 - 6y = 2(y + 5) - 3 solve for y

Answers

Answer 1

Answer:

[tex] \huge{ \boxed{ \bold{ \tt{y = - 4}}}}[/tex]

Step-by-step explanation:

[tex] \sf{4y - 9 - 6y = 2(y + 5) - 3}[/tex]

Subtract like terms : 6y from 4y

[tex] \longrightarrow{ \sf{ - 2y - 9 = 2(y + 5) - 3}}[/tex]

Distribute 2 through the parentheses

[tex] \longrightarrow{ \sf{ - 2y - 9 = 2 *y + 2 *5 \: - 3}}[/tex]

[tex] \longrightarrow{ \sf{ - 2y - 9 = 2y + 10 - 3}}[/tex]

Subtract 3 from 10

[tex] \longrightarrow{ \sf{ - 2y - 9 = 2y + 7}}[/tex]

Move 2y to left hand side and change it's sign

[tex] \longrightarrow{ \sf{ - 2y - 2y - 9 = 7}}[/tex]

Move 9 to right hand side and change it's sign

[tex] \longrightarrow{ \sf{ - 2y - 2y = 7 + 9}}[/tex]

Combine like terms

[tex] \longrightarrow{ \sf{ - 4y =7 + 9}}[/tex]

Add the numbers : 7 and 9

[tex] \longrightarrow{ \sf{ - 4y = 16}}[/tex]

Divide both sides by -4

[tex] \longrightarrow{ \sf{ \frac{ - 4y}{ - 4} = \frac{16}{ - 4}}} [/tex]

Remember : Dividing a positive integer by any negative integer gives a negative integer.

[tex] \longrightarrow{ \boxed{ \sf{y = - 4}}}[/tex]

------------------------------------------------------------

Let's check whether the value of y is -4 or not.

Verification

L.H.S : [tex] \sf{4y - 9 - 6y}[/tex]

plug the value of y and simplify

[tex] \dashrightarrow{ \sf{4 * (- 4 )- 9 - 6 * (- 4)}}[/tex]

[tex] \dashrightarrow{ \sf{ - 16 - 9 - ( - 24)}}[/tex]

[tex] \dashrightarrow{ \sf{ - 16 - 9 + 24}}[/tex]

[tex] \dashrightarrow{ \sf{ - 16 + 15}}[/tex]

[tex] \dashrightarrow{ \sf{ - 1}}[/tex]

R.H.S :[tex] \sf{2(y + 5) - 3}[/tex]

plug the value of y and simplify

[tex] \dashrightarrow{ \sf{2( - 4 + 5) - 3}}[/tex]

[tex] \dashrightarrow{ \sf{2 *1 - 3}}[/tex]

[tex] \dashrightarrow{ \sf{2 - 3 }}[/tex]

[tex] \dashrightarrow{ \sf{ - 1}}[/tex]

∴ L.H.S = R.H.S

The value of y is -4

And we're done!

------------------------------------------------------------

Rules for solving an equationIf any equation contains fractions , multiply each term by the LCM of denominators.Remove the brackets , if any.Collect the terms with the variable to left hand side and constant terms to the right side by changing their signs ' + ' into ' - ' and ' - ' into ' + '.Simplify and get the single term on each side.Divide each side by the coefficient of variable and then get the value of variable.

Hope I helped!

Best regards! :D

~TheAnimeGirl


Related Questions

HELP PLEASEEEEEEE ASP!!
WILL GIVE BRAINLIEST ❤️

Find the slope of the line passing through the given
points using the slope formula. Describe the slope as
positive, negative, zero, or undefined.
(-7, -18) and (-7,-4)

Answers

Answer:

Step-by-step explanation:

Slope formula= rise over run, or y2-y1 over x2-x1

y2=-4 y1=-18 x2=-7 x1=-7

-4-(-18)/-7-(7)

-22/-14 negative

Answer:

7/11

Step-by-step explanation:

the slope is positive. tell me what happens

5 to the 2 power
help

Answers

Answer:

25

Step-by-step explanation:

5²=25

Answer:

25

Step-by-step explanation:

it is like 5 times 5

Which of the following best describes the function shown below?
a.Linear
b.Quadratic
c.Exponential Growth
d.Exponential Decay

Answers

Answer: I need to see the picture of the work first to tell u

Step-by-step explanation:

Quadratic because I feels what I feels

rt - 2n = y solve for t

Answers

Answer:

[tex]t=\frac{y+2n}{r}[/tex]

General Formulas and Concepts:

Pre-Alg

Equality Properties

Step-by-step explanation:

Step 1: Define equation

rt - 2n = y

Step 2: Solve for t

Add 2n to both sides:                    rt = y + 2nDivide both sides by r:                   t = (y + 2n)/r

-2 (-3x + 3) + 2x = 58

Answers

Answer:

x = 8

Step-by-step explanation:

Given

- 2(- 3x + 3) + 2x = 58 ← distribute and simplify left side

6x - 6 + 2x = 58

8x - 6 = 58 ( add 6 to both sides )

8x = 64 ( divide both sides by 8 )

x = 8

Two parallel lines are cut by a transversal. Which statements are true for all such cases? Select three that apply.

Each pair of vertical angles is congruent.
Each pair of corresponding angles is congruent.
Each pair of supplementary angles is congruent.
Each pair of alternate interior angles is congruent.

Answers

Answer:

Step-by-step explanation:

Each pair of vertically opposite angles are equal. If you mean vertical angles as in 90 degrees, you should qualify the question

Each pair of alternate interior angles is congruent (think it should be are congruent).

Each pair of corresponding angles is congruent

13) Find the value for x and y.
Someone help me please thanks

Answers

Answer:

x=14 y=37

Step-by-step explanation:

For which equations is the solution for x the same number?
i. 15 - X = -3
ii. x/2 + 6 = 15
iii. -1/3x - 5.7 = 0.3
O A. i and ii
O B. i and iii
O C. ii and iii
O D. i, ii and iii
O E. none of the questions

Answers

Answer:

A. i and ii

Step-by-step explanation:

i) 15 - x = -3

x=18

ii) x/2 + 6 = 15

x/2 = 9

x= 18

iii) -1/3x -5.7 = 0.3

-1/3x = 6

x = -18

3. A merchant sold a pen for $6.90, thereby making a profit of 15% on the cost to her. Calculate:
a. the cost price of the pen to the merchant to the nearest cent.
b. the selling price the merchant should request in order to make a 25% profit instead.

Answers

Answer:

A.$6.44

B.$8.05

Step-by-step explanation:

A.$6.90/15%=$0.46-$6.90=$6.44

B.$6.44*25%=$1.61+$6.44=$8.05

Answer:

answer for 6.90/15%= 6

answer for 25%= 7.5

Step-by-step explanation: These are answer is all correct there are no mistakes

Solve the following inequality for g. Write your answer in simplest form.
-5-3(5g-4)≥2g+6-10

Answers

Answer:

[tex]g\leq \frac{11}{17}[/tex]

Step-by-step explanation:

[tex]-5-3(5g-4)\geq 2g+6-10\\-5+(-15g+12)\geq 2g-4\\-5+(-15g)+12\geq 2g-4\\7-15g\geq 2g-4\\7\geq 17g-4\\3\geq 17g\\\frac{11}{17} \geq g\\g\leq \frac{11}{17}[/tex]

The value of g in the given inequality -5-3(5g-4) ≥ 2g+6-10 is equal to or less than 11/17, g ≤ 11 / 17

What is an inequality?

A relationship between two expressions or values that are not equal to each other is called inequality.

Given is an inequality -5-3(5g-4) ≥ 2g+6-10

Solving for g,

-5-3(5g-4) ≥ 2g+6-10

-5-15g+12 ≥ 2g+6-10

-15g+7 ≥ 2g-4

7 ≥  17g -4

11  ≥ 17g

11 / 17  ≥ g

g ≤ 11 / 17

Hence, the value of g is equal to or less than 11/17, g ≤ 11 / 17

Learn more about inequality, click;

https://brainly.com/question/30231190

#SPJ2

Solve the inequality.
5(w - 3) < 5w + 20

Answers

Answer:

-15 < 20

Step-by-step explanation:

5(w - 3) < 5w + 20

Distribute;

5w - 15 < 5w + 20

Subtract 5w from both sides;

-15 < 20

Answer:

w<5

Step-by-step explanation:

(5*w-3*5)<5w+20

5w-15<5w+20

5w-5w<20-15

w<5

PLEASEEEE HELPPPPPP WIll add extra pointtss

Answers

Answer is x = 4
Explanation :-

As B is midpoint of SR :- SB = BR and if. SR = 6x then SB = 3x
AC parallel SR ( MID POINT THEOREM )
Hence AC parallel SB
Similarly , AB parallel CS (MID POINT THEOREM)
So ABCS is a parallelogram
And we know that in parallelogram opposite sides are equal so AC = SB
So now we have AC = 5x - 8 and SB = 3x
So, 5x - 8 = 3x
5x - 3x = 8
2x = 8
x = 4

Marvin rides his bike at an average speed of 13 miles per hour. How far can he bike in 8 hours?
Marvin can bike miles in 8 hours.

Answers

Marvin can bike 104 miles in 8 hours

Answer:

104

Step-by-step explanation:

13x8=104

Decide whether this statement is always true, never true, or sometimes true, and explain why: In a quadratic equation of the form 0 = ax2 + bx + c, there will be two real solutions if a and c are of opposite signs

Answers

Answer:

Always true

Step-by-step explanation:

Here, we want to evaluate if the given statement is true

The discriminant D can be calculated using the formula;

b^2 - 4ac

if D is greater than 0, then we will have only real roots

In a case where a and c are of opposite signs;

then -4ac will always give a positive value which can be added to b^2

This positive value will ensure that D is greater than zero and hence we can have only real roots

So this assertion is always true if a and c are of opposite signs

If f(1)=7f(1)=7 and f(n)=f(n-1)+2f(n)=f(n−1)+2 then find the value of f(4)f(4).

Answers

Answer:

Step-by-step explanation: f1 =7

f2 = 5(7) + 2 = 37

f3 = 5(37) + 2 = 27

f4 = 5(9) + 2 = 47____

The value of f(4)f(4) f(1) = 7f(1) = 7 and f(n) = f(n-1) + 2f(n) = f(n−1) + 2 is,

121.

What is a function?

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

Given, f(1) = 7f(1) = 7 and f(n) = f(n-1) + 2f(n) = f(n−1) + 2.

By this pattern,

f(4)f(4) = [f(4 - 1) + 2f(4)][f(4 - 1) + 2f(4)].

f(4)f(4) =  [f(3) + 2f(4)][f(3) + 2f(4)].

f(4)f(4) =  [f(3) + 2(4)][f(3) + 2(4)].

f(4)f(4) =  [3 + 8][3 + 8].

f(4)f(4) =  [11][11].

f(4)f(4) =  121.

learn more about functions here :

https://brainly.com/question/12431044

#SPJ2

if you use synthetic division for this polynomial: 3x^5-12x^4+12x^3+30x^2-39x-42. What would the answer be?

Answers

Answer : x^5 - 4x^4 +4x^3 + 10x^2 - 13x - 14

Explanation :

(3x^5-12x^4+12x^3+30x^2-39x-42)/3 = x^5 - 4x^4 +4x^3 + 10x^2 - 13x - 14

807 x 491


AND THEM ESTIMATE THE ANSWER

Answers

Answer:

396237 / Estimation would be 396000 I believe.

Step-by-step explanation

Answer:

396000

Step-by-step explanation:

is my answer correct??

Answers

Answer:

no

Step-by-step explanation:

Answer:

you are correct!!

Step-by-step explanation:

Hello help with question please :)

Answers

Answer:

A

Step-by-step explanation:

slope is (y2-y1)/(x2-x1)

anyhow that comes out to -3/2

the only place that actually applies is in A

Answer:

A

Step-by-step explanation:

6=-3/2×-2+3

6=3+3

6=6

-3=-3/2×4 + 3

-3=-6+3

-3=-3

Graph the linear equation x=4.

Answers

Here is your answer ⬇️

A linear equation has only more than one additional, that may be expressed as [tex]\bold{ax + by = c}[/tex], and the further discussion can be defined as follows:

In this, No factor has been raised the power which is greater than one or utilized as the denominator of a fraction.  When we discover pairs of values that satisfy a linear model and plot them on a coordinate grid, all the points fall on the same line.

Please find the attached file of the graph.

Learn more:

brainly.com/question/576841

Question 1 of 10
Which of Saturn's moons has an atmosphere that is most like Earth's?
O A. Pandora
B. Atlas
Ο Ο
C. Titan
O
D. Europa
SUBMIT

Answers

I’m pretty sure it’s C. Titan

Answer:

The answer is Titan

Step-by-step explanation: the atmosphere of Titan is similar to earth's atmosphere because Titan's atmosphere is mostly made up of nitrogen and so is Earth's atmosphere.

i want to purchase a necklace for 325$ . ive already saved 115.00 and can set aside 22.00$ a week . which inequality can be used to find the number of weeks it will take to save at least 325.00$?

Answers

Answer:

22w + 115 = 325           w = about 10 weeks

Step-by-step explanation:

The first part of this inequaltiy is 22w. Since he/she will set aside $22 a week, you would put a variable because the number of weeks you will need to set aside $22 is unknown therefore you put a variable that makes sense. I put w because you can say that w=weeks. The next part of the inequality is adding $115 because he/she has already saved $115 so we add that to 22w. Finally 22w+115 has to equal $325 because that is how much the necklace costs. Hope this helps!

A piece of climbing equipment at a playground is 6 feet high and extends 4 feet horizontally. A piece of climbing equipment at a gym is 10 feet high and extends 6 feet horizontally. Which statement best compares the slopes of the two pieces of equipment?
Because Five-thirds greater-than three-halves, the slope of the climbing equipment at the gym is greater.
Because Five-thirds less-than three-halves, the slope of the climbing equipment at the playground is greater.
Because Three-fifths greater-than two-thirds, the slope of the climbing equipment at the gym is greater.
Because Three-fifths less-than two-thirds, the slope of the climbing equipment at the playground is greater.

Answers

Answer:

I think its D but I'm not that sure about it.

Step-by-step explanation:

Because three fifths less than two thirds, the slope of te climbing equipment at the playground is greater.

Answer:

A)

Step-by-step explanation:

A piece of climbing equipment at a playground is 6 feet high and extends 4 feet horizontally.

Therefore its slope = length of the equipment vertically / length of equipment horizontally

=  6/4 = 3/2 = 1.5

And, A piece of climbing equipment at a gym is 10 feet high and extends 6 feet horizontally.

Therefore slope, =  10/6 = 5/3=1.67 (approx)

Since, >

Therefore, Five-thirds greater-than three-halves, the slope of the climbing equipment at the gym is greater

(I finished the quiz and got it correct, it is A.)

Find the slope of the line passing through the given points using the slope formula. Describe the slope as positive, negative, zero, or undefined.

(−7, −18) and (−7, −4)

Answers

Answer:

Undifined

Step-by-step explanation:

how to find the slope

Answers

Answer:

m= [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

use this formula if you're having two points or a graph

Which answer choice shows 12.444 rounded to the nearest half?
A. 11
B. 11.5
C. 12
D. 12.5

Answers

Answer:

C. 12

Step-by-step explanation:

Remember 0 to 4 turn it back

5 or above give it a shove.

Since 12.444 is around 0 to 4.

We can round that to 12.

Answer:

C.12

Step-by-step explanation:

Rounding a number involves replacing the number with an approximation of the number that results in a shorter, simpler, or more explicit representation of said number based on specific rounding definitions. For example, if rounding the number 2.7 to the nearest integer, 2.7 would be rounded to 3.

THIS IS VERY URGENT AND I WILL GIVE BRAINLIEST
Can you please help with the four and eight


Balon
300
100
3
1
7
10
M
4 (2pts) Above a line is drawn. There are
2 points A and B. Point A (3.98) Point
B (9, 179). Find the slope using the
formula.
8 2pts) What is the y-intercept of your
line, and what is its real-world
meaning?

Answers

oído i just needed answers

what is y= (5x+7) (-2x+3) in standard form

Answers

Answer:

y = 10x^2 + x +21

Step-by-step explanation:

Please answer correctly !!!!!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!!!!

Answers

94°

KHI and KHE are supplementary angles, meaning they add up to equal 180. 180 - 86 = 94

Which of the equations below can be solved by square roots? How would you solve the other equation? Explain your reasoning. Give the solutions to both equations. Equation A: x? - 9x = 0 Equation B : x2-9=0​

Answers

Answer:

Equation A is factoring, x=9 and x=0

Equation B is the square root, x=3

The equation A:  x² - 9 = 0 can be solved by square root method

The equation B: x²  -  9x = 0 can only be solved by factoring

The given equations are:

Equation A:    x²  -  9x = 0

Equation B:    x²  -  9 = 0

The equation x² - 9 can be rewritten as:

x²  -  3² = 0

This is a difference of two squares which can be further expressed as:

(x  -  3)(x + 3) = 0

x  - 3  =  0

x  =  3

x  +  3  = 0

x  =  -3

This shows that the equation x² - 9 = 0 has two roots x = -3 and x = 3

Also, from x² - 9 = 0

[tex]x = \pm\sqrt{9} \\\\x = \pm3[/tex]

For the equation x²  -  9x = 0

This can be factored as x(x - 9) = 0

x  = 0,  x = 9

This is not solved by the square root method.

Therefore, the equation x² - 9 = 0 can be solved by square root method

Learn more here: https://brainly.com/question/18088242

Other Questions
Which of the following is true about first-person point of view? (5 points) Group of answer choices It uses the word I, and one character tells the story. It uses the word you and makes the reader feel a part of the story. The narrator is not part of the story and only states the characters' actions and speech. The narrator is not part of the story and knows what every character is thinking and feeling. A flashlight bulb uses 2.4 W of power when the current in the bulb is 0.8 A. What is the voltage difference? PLEASE HELP An algebraic ___ is a mathematical phraseWith numbers, variables, operations for days. is it coefficient , expression or evaluate did the American Revolution fight against an unfair use of power? How many molecules are in 650.0 g Mg(OH) ? What division problem can be represented using the number line?A number line going from 0 to StartFraction 10 Over 3 EndFraction in increments of one-third. An arrow goes from 0 to five-thirds and from five-thirds to StartFraction 10 Over 3 EndFraction. Identify the legal term for a person who brings a civil lawsuit against another party. A force F = (2x + 4y), where F is in newtons and x and y are in meters, acts on an object as the object moves in the x-direction from the origin to x = 4.99 m. Find the work W = F dr done by the force on the object (in J). i need to know what word goes into that the words are in each sentence plz help me i will give brainliest thank you :) What are the risks and benefits of implementing a penetration pricing policy as compared to a competitive pricing policy? Cities are a feature of civilization that are There are _____ Chemical families in the periodic table. Given mn, find the value of x and y. A construction crew has repaired 1.37 miles of a highway. The total length of the highway to be repaired is 7.9. How many miles are left to be repaired? again i need some help with this :D 1 Click on the correctly capitalized COMPLETE sentence below, making surethere are no run-ons. Aduring the baltimore ravens football game on a november sunday afternoon fans,cheering loudly.BDuring the Baltimore Ravens football game on a November Sunday afternoon fans,cheering loudly.CDuring the Baltimore Ravens football game on a November Sunday afternoon, fanscheered loudly.DDuring the Baltimore ravens football game on a November sunday afternoon fans,cheered loudly. PLEASE HELP ASAPRead The Road Not Taken by Robert Frost. Which statement best describes the main idea of the poem?Two roads diverged in a yellow wood,And sorry I could not travel bothAnd be one traveler, long I stoodAnd looked down one as far as I couldTo where it bent in the undergrowth;Then took the other, as just as fair,And having perhaps the better claim,Because it was grassy and wanted wear;Though as for that the passing thereHad worn them really about the same,And both that morning equally layIn leaves no step had trodden black.Oh, I kept the first for another day!Yet knowing how way leads on to way,I doubted if I should ever come back.I shall be telling this with a sighSomewhere ages and ages hence:Two roads diverged in a wood, and II took the one less traveled by,And that has made all the difference.A) The speaker informs the reader about two roads.B) The speaker expresses his feelings about nature.C) The speaker describes his unfulfilled dreams and wishes.D) The speaker explains a difficult decision he had to make. If a bicyclist travels 25 km/h, how long will it take her to travel 40 km? What is 65658 divided by 706? SHOW YOUR WORK!! Bantu migrations did not result in large-scale kingdoms in Africa until 1500 C.E. MOST LIKELY because of A) climate change patterns that affected migration. B a strong feudal tradition in sub-Saharan Africa. conflict with local hunting and gathering societies. D Muslim traders who affected decentralized political rule.