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

Select the graph that represents the solution for the following system of inequalities.

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Answer:

I think that answer is C

Step-by-step explanation:

I am not 100% sure but it is worth a try

Answer:

YESS DADDYY!!!

Step-by-step explanation:

If JKLM is a trapezoid, which statements must be true? Check all that apply.
A. JK=~KL
B. J is congruent to M.
DC. JK is parallel to LM.
I D. J is congruent to K.
E. KL is parallel to JM.
OF Jis supplementary to K.

Answers

is there a picture to go with this question?

JKLM is a trapezoid. Statements A and E are correct.

What is the definition of geometry?

It is concerned with the geometry, region, and density of various 2D and 3D shapes. There are two parallel sides and two non-parallel sides to a trapezoid.

These are the actual statements:

(a) J is supplementary to K

(e) KL is parallel to JM

Hence, statements A and E are correct.

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Which rational number equals 0.7 ? 1 10 Flo 11​

Answers

Answer:

0.7 is a rational number... but 7/10

Step-by-step explanation:

Hope I helped!

Answer: This absolutely makes no sense  

Step-by-step explanation:

975,954 divided by 17

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Answer:

57409.0588235

Step-by-step explanation:

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Determine the domain of f(p)= 4(p) +1000. Justify your answer with an explanation for the domain.

Answers

Answer:

Domain: (-∞, ∞)

General Formulas and Concepts:

Alg I

Domain is the set of x-values that can be inputted into function f(x).

Step-by-step explanation:

Step 1: Define function

f(p) = 4p + 1000

Step 2: Analyze

We note down that we are not given a restriction or an interval with the function. We also note down that we can plug in any number x and it would give us an output.

Therefore, our domain is All Real Numbers or (-∞, ∞)

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The slope is 1/2
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A 5-foot piece of linen costs $34.80. What is the price per inch?

Answers

6.96 is the answer for this question

Answer:

$6.96 per inch

Step-by-step explanation:

34.80/5=6.96

Hope this helps!!!

On a snow day, Kayden created two snowmen in his backyard. Snowman A was built
to a height of 59 inches and Snowman B was built to a height of 34 inches. The next
day, the temperature increased and both snowmen began to melt. At sunrise,
Snowman A's height decrease by 7 inches per hour and Snowman B's height
decreased by 2 inches per hour. Let A represent the height of Snowman At hours
after sunrise and let B represent the height of Snowman B t hours after sunrise.
Write an equation for each situation, in terms of t, and determine the interval of
time, t, when Snowman A is taller than Snowman B.
A=
BE
Snowman A is taller than Snowman B when t
Not

Answers

9514 1404 393

Answer:

A = 59 -7tB = 34 -2tt < 5

Step-by-step explanation:

Snowman A starts at 59 inches and decreases height at 7 inches per hour. That height can be represented by ...

  A = 59 -7t

Snowman B starts at 34 inches and decreases height by 2 inches per hour. That height can be represented by ...

  B = 34 -2t

__

A is taller than B when ...

  A > B

  59 -7t > 34 -2t

  25 > 5t . . . . . . . . add 7t-34

  5 > t . . . . . . . . . . .divide by 5

A will be taller than B when t < 5.

A large bucket holds 5 gallons of water, which is about the same as 19 liters of water. A small bucket holds 2 gallons of water. About how many liters does it hold?

Answers

Answer:

Im pretty sure it's 7.6.

Step-by-step explanation:

So 5 gallons is the same as 19 liter. 19/5= 3.8

then, 2x3.8=7.6

if im wrong correct me plz.

Answer:2=7.6

Step-by-step explanation:2 =

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Answer:

[tex] \sqrt{12} [/tex]

Answer:

1 (square root of 72)

Step-by-step explanation:

Ok. You can solve this using the pythagorean thereom. This is because AB is the hypotenuse of a right triangle. Therefore, you can solve this problem by using the square of both sides to find the length of the hypotenuse. 6^2+6^2=c^2.

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Answers

Answer:

D

Step-by-step explanation:

First of all, she wants to INCREASE her steps per day. A, B, and C all have the same number of steps or fewer steps. I can further prove that the answer is D because if she stars walking 10 extra steps per day, 10 times 100 = 1000 and 5000 + 1000=6000. Please correct me if I am wrong because everybody makes mistakes sometimes. Also, thanks so much for giving me brainiliest!      

Edit: If I was helpful to you, please take a shot at my puzzle that's due Monday.      

It is worth 100 points and would mean a lot to me if you could try and solve it. Good luck! Here is the link: https://brainly.com/question/19021808        

Don’t understand how to get the answer

Answers

Answer:

The answer is 14 because it's the opposite of -14

Answer:

Additive inverse is the number that you could add to a number to get 0. What could you add to -14 to get 0?

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Answers

Answer:

In Explanation

Step-by-step explanation:

First, you should put the equation in slope intercept form (y = mx + b), where m is the slope.  

10x + 4y = 20

Isolate the y term

10x + 4y – 10x = 20 – 10x

4y = 20 – 10x

Rearrange the terms

4y = –10x + 20

Divide both sides by 4

4y4=−10x+204

y=−104x+5

The slope of the given line is –10/4. A perpendicular line will have a slope with the opposite reciprocal. In simpler terms, you flip the slope and change the sign, therefore, the opposite reciprocal is 4/10.

20 points! Which expression can go in the blank to make the equation true?
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Answers

Answer:

D

Step-by-step explanation:

7.3+(-7.3)

hope that help

Answer:

Step-by-step explanation:

-4.5+4.4+0.1=0

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Answer:

It's also 52  If I got it wrong I'm so sorry but I'm good at angles

Step-by-step explanation:

Unit 8 right triangles and trigonometry homework 2

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Answer

What u need help with ?

Explanation

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Answer:

download a calculator

Step-by-step explanation:

Grant is buying a pack of blue and white socks. 4 of the pairs are blue and 6 of the pairs are white. What fraction is equivalent to the portion of socks that are NOT white? Question 4 options: 2/5 3/4 3/5 1/2

Answers

Answer:

[tex]Fraction = \frac{2}{5}[/tex]

Step-by-step explanation:

Given

[tex]Blue = 4[/tex]

[tex]White = 6[/tex]

Required

Determine the fraction that are not white

First, we need to determine the total

[tex]Total = Blue + White[/tex]

[tex]Total = 4 + 6[/tex]

[tex]Total = 10[/tex]

Not white, in this case means blue.

So, the fraction is calculated as thus:

[tex]Fraction = \frac{Not\ White}{Total}[/tex]

[tex]Fraction = \frac{Blue}{Total}[/tex]

[tex]Fraction = \frac{4}{10}[/tex]

Simplify

[tex]Fraction = \frac{2}{5}[/tex]

Hence the fraction that are not white is

[tex]Fraction = \frac{2}{5}[/tex]

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Answers

Answer:

slope of perpendicular line = -1/6

Step-by-step explanation:

Slope of Perpendicular line= -1/m

Compairing y=-6x+12 with the Standard equation of line y=-mx+c

Here m=6

So slope of Perpendicular line is: -1/6

It took 48 minutes to drive downtown. An app estimated it would be less than that. If
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Answers

Answer:

38.4 minutes

Step-by-step explanation:

Assuming the error was 20% less

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40 mins

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Answer:

D.)

Step-by-step explanation:

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You work 4 hours on Monday, 4.5 hours on Tuesday, 7.25 hours on Thursday, and 12 hours on Saturday. If you get paid $11.52 per hour, what is your total pay for the week

Answers

Answer:

$319.43

Step-by-step explanation:

Monday= 4 * $11.52=  $46.08

Tuesday= 4.5 * $11.52= $51.84

Thursday= 7.25 * $11.52= $83.27

Saturday= 12 * $11.52= $138.24

When you add all of those together you get $319.43

hope this helped (:

(this took so long so this better be right...<3)  

3. Roger runs 8 miles per hour. He ran for h
hours to run 6 miles.
Write the equation for this situation

Answers

Answer:

8h

Step-by-step explanation:

8 miles per hour

h hours

plug in h for how many hours

8 divided by 6 is 1.3

1.3 hours to run 6 miles

Which equation represents the line that is perpendicular to y= 1/6 and passes through (-8,-2)?

Answers

We want to find a line that is perpendicular to y = 1/6 and that passes through (-8, -2), that line will be x = -8.

Working with perpendicular lines

So we want to get a line, we know it must be perpendicular to y = 1/6.

Notice that y = 1/6 is a horizontal line, then our line must be vertical, this means that our line is something like x = constant.

Now if we want our line to pass through the point (-8, -2), the constant must be equal to the x-value of the point, this is:

x = constant = -8

x = -8

This is the equation of the line perpendicular to y = 1/6 and that passes through (-8, -2)

If you want to learn more about lines, you can read:

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Answer:

x=-8

Step-by-step explanation:

that's the answer for

Select the correct answer.

Which equation represents the line that is perpendicular to  and passes through (-8,-2)?

i’ll give brainliest, please help me out :/

Randy collected two different data sets and labeled them data set Q and data set R. Data set Q has a correlation coefficient of −0.87,
and data set R has a correlation coefficient of −0.96.

Part A: Which data set has a stronger linear relationship?

Part B: How do you know this?

Select two answers, one for Part A and one for Part B

Answers

Answer:

Part A: Data set R

Part B: The correlation coefficient ranges from -1 to 1, where -1 represents a strong negative correlation and 1 represents a strong positive correlation. Data set R has a correlation coefficient of -.96, which has an absolute value that is closer to 1 than Data set Q's -.87, which means that it has a stronger linear relationship.

The data set R has a stronger linear relationship because the value of correlation coefficient is close to -1.

What is correlation?

It is defined as the relation between two variables which is a quantitative type and gives an idea about the direction of these two variables.

[tex]\rm r = \dfrac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{{[n\sum x^2- (\sum x)^2]}}\sqrt{[n\sum y^2- (\sum y)^2]}}[/tex]

We have:

Correlation coefficient for data set Q = -0.87

Correlation coefficient for data set R = -0.96

The data set R has a stronger linear relationship because the value of correlation coefficient is -0.96 which is close to -1.

As we know the correlation coefficient varies between -1 to +1 when the value of correlation coefficient is close to -1 or +1 the relationship is strong.

Thus, the data set R has a stronger linear relationship because the value of correlation coefficient is close to -1.

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please help if you can !

Answers

Answer:

The answer is A. Positive Weak Non-Linear

Step-by-step explanation:

The dotted points are graphed in an upward form which indicates that it's graphed positively but since the dotted points are scattered that indicates it has a weak "power".

1c) What is 25% of 40?
8.5

Answers

25% of 40

=25/100×40

=0.25×40

=10 answer.

Mrs. Houser is baking cookies for an elderly neighbor. She decides to make half of this cookie recipe since she doesn't need the whole thing. Look at the recipe and then answer the questions below help me out plzzz​

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Answer:

A. 1/8 cups of maple syrup

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Step-by-step explanation:

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Answer:

Step by step explanation:
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