Solve 3(y-2)=6(y-1)-3y

Answers

Answer 1

Answer:

All real numbers are solutions.

Step-by-step explanation:

1. First you want to distribute what is inside the parenthesis. You would want to do 3 × y + 3 × -2 = 6 × y + 6 × -1 -3y.

2. Now that the equation has been distributed, you want to simplify it. 3 × y is equal to 3y, and 3 × -2 is equal to -6. So, 3y + -6 = 6 × y + 6 × -1 -3y.

3. Now you want to simplify the right side of the equation. So, 6 times y is equal to 6y, and 6 × -1 is equal to -6. Now the new equation is 3y + -6 =6y + -6-3y.

4. Also in an equation, if there is a + and - sign together like this +-, it would equal to -. So, 3y + -6 = 6y + -6-3y, is equal to 3y - 6 = 6y -6-3y.

5. Now you want to combine like terms on the right side of the equation. 3y - 6 = 3y -6 because 6y-3y is equal to 3y.

6. Now the rest of the equation has to be combined using like terms. Start by moving the -3y fromthe right side of the equation to the 3y on the left side of the equation. -3y plus 3y is equal to zero so it cancels out. The 3y on the left side plus another 3y is equal to 6y.

7. Now the equation is 6y - 6 = 6y - 6

8. You can add 6 to the -6 on both sides of the equation which would cancel out on both sides leaving you with an equation of 6y = 6y.

9. Divide both sides by 6 to get y = y.

10. This equation means that all real numbers are solutions to this equation. In other words, no matter what real number you use in this equation, it would come out to be true. For example, if y = 3, 3 = 3, so the equation is true.


Related Questions

find the value of the variable (3p-6)

Answers

Answer:1/3

Step-by-step explanation:

3p- -5=6

- and - becomes +

3p+5=6

transpose 5 to the other side

3p=6-5

because on transposing + becomes -

3p=1

p=1/3

because multiplication changes to addition on transposing

please mark me as brainly .

Amanda, Bethany, and Christina are all sisters.
The sum of the ages of the sisters is 40. Amanda is 5 more than double Christina's age. The
difference between Bethany's and Christina's age is 3. Write a system for this scenario.

Answers

A+B+C= 40

2C +5=A

B-C=3

A is Amanda, B is Bethany and C is Christina

5555555555555555555555555555

Tavon has a gist card for $145 that losses $3.50 for each 30-day period is not used. He has another gift card for $125 that losses $3 for each 30-day period it is not used. A. Write and solve an equation for the number of 30-day periods until the value of the gift cards will be equal. B. What will the value of each card be when they have equal value?

Answers

Step-by-step explanation:

A. For Tavon's gift card the equation is

let y be the total amount

let x be the number of 30 day period

y=145-3.5x------1

for Tavon's second gift card the equation is

let y be the total amount

let x be the number of 30 day period

y=125-3x-------------2

B. equating 1 and 2 we have

145-3.5x=125-3x

solve for x we have

145-125=-3x+3.5x

20=0.5x

divide both sides by x we have

x=20/0.5

x= 40

put x=40 in

y=145-3.5*40------1

y=145-140

y=$5

put x=40 in

y=125-3*40------1

y=125-120

y=$5

can you help me with this question I need the answers,please.

Answers

Answer:

a: 4

b: package and shopping costs

c: 1/2 (   (6-3)/(16-10) )

d: cost of shipping per pound

e: y= 1/2x + 4

f: 92

Step-by-step explanation:

Okay bunch of answers

What is the slope of the following points:

(–3, 10), (–3, 7)

Answers

Answer:

undefined

Step-by-step explanation:

Answer:

Undefined

Step-by-step explanation:

(7-10) / -3-(-3)

-3/ -3+3

-3/0

UNDEFINED!

y=4/3x+5 fine slope and y interceapt

Answers

Answer:

slope is 4/3 and y intercept is 5

Step-by-step explanation:


5. A factory produces 24532 bulbs in a month. What is its annual
production?

Answers

Answer:

294384

Step-by-step explanation:

Answer:

294384

Step-by-step explanation:

24532x12=294384

What is the value of x? What is the measure of angle 6? Show all of your work and/or explain your answer.

Answers

Answer:

1) 5 & 9

5=Corresponding Angle

9=Alternate Exterior Angle

2) 7 & 8

We know 4 is supplementary to 8.  Since that is true, 7 & 8 are also.

8=Corresponing angle to 4

7=Verticle angle to 8

3) We know 1 and 3 equal 180

x-20+x+40=180

2x+20=180

2x=180-20

2x=160

x=80

<2=X+20

=80+20

=100

Angle 2 is the same as angles 5 and 6 added together.

We know angle 5 is the same as angle 1 (corresponding angles).

<1=X-20

=80-20

=60

Now that we know <2=100 and <5=60, we can figure out <6

100-60=40

<6=40°

Step-by-step explanation:

1) 5 & 9

5=Corresponding Angle

9=Alternate Exterior Angle

2) 7 & 8

We know 4 is supplementary to 8.  Since that is true, 7 & 8 are also.

8=Corresponing angle to 4

7=Verticle angle to 8

3) We know 1 and 3 equal 180

x-20+x+40=180

2x+20=180

2x=180-20

2x=160

x=80

<2=X+20

=80+20

=100

Angle 2 is the same as angles 5 and 6 added together.

We know angle 5 is the same as angle 1 (corresponding angles).

<1=X-20

=80-20

=60

Now that we know <2=100 and <5=60, we can figure out <6

100-60=40

<6=40°

A gym offers two membership options. To be a member, there is a $150

deposit required, and then members pay $20 per month. Nonmembers

pay $30 per month. How many months must a person go to the gym in

order for the membership to be worthwhile? Solve the problem by writing

and solving an equation. Then choose your answer on the line provided.

Answers

Answer:

m > 15

Step-by-step explanation:

Kindly check attached picture

Marcus reads in a magazine article that 62% of teenagers prefer Batman over Iron Man. He decides to test this so he takes a simple random sample of 50 people at Wal-Mart on a Sunday afternoon. What is the probability that he finds exactly 40 Batman fans? Round to the nearest thousandth.

Answers

Answer:

The probability is 0.003

Step-by-step explanation:

If 62% prefers Batman, the percentage that prefers Iron man will be (100-62)% = 38%

So the probability of finding a teenager that likes batman will be 62/100 = 0.62

The probability of finding a teenager that prefers iron man will be 38/100 = 0.38

Now, we want to find the probability that out of 50 people at Walmart on a Sunday, exactly 40 prefers Batman

We can use the Bernoulli approximation of the binomial theorem ;

let probability of liking Batman be q and that of iron man be q

Thus the approximation will be;

P(X = 40) = 50 C 40 (0.62)^40 (0.38)^10

= 0.003200147531

To the nearest thousandth, this is 0.003

Anyone know how to do this???

Answers

Answer:

6

Step-by-step explanation:

Because 1 is either on top or on the bottom and 6 would be on the opposite side of 1 meanwhile the other numbers are on the sides

Question 2 (1 point)
Identify which of the following situations does not represent
causation:
Ob
Kryptonite causes Superman to lose all his powers.
Temperatures of less than 32°F cause water to freeze.
Umbrellas cause rainstorms.
Stepping on the gas pedal causes a car to move faster.
Ос
Od
Next Page
Once you click Next Page you will not be able to change your answer
Type here to search
e
-)

Answers

Answer:

Umbrellas cause rainstorms.

Step-by-step explanation:

Due to all the others being correct, that means this is incorrrect, there are no umbrellas that cause rainstorms.

All of the following devices are used in the second paragraph EXCEPT A. metaphor B. parallelism C. allusion D. abstract terms E. chiasmus

Answers

Answer:

a. Metaphor

Step-by-step explanation:

Translate the following into an equation:
"Six added to the product of a and three is two times the difference of a and nine."

Answers

I think it’s 6+3a=2(a-9)

Which of the following equations ARE in slope-intercept form?
y = 2
y= -63 +2
y = 12 - 3.0
23 - 5y = 9
62 = 8y
y = 5

Answers

answer: 23-5y=9
explanation- slope intercept form is y=mx+b

Write the equation of the line with the slope of -6 passing through the point ( − 8 , 0 ).

Answers

Answer:

y=-6x+48

Step-by-step explanation:

Peter can mow the lawn in 40 minutes and John can mow the lawn in 60 minutes. How long will it take for them to mow the lawn together?

Answers

If they mow the lawn together you would subtract 40 from 60 and your answer would be 20.
60 - 40 = 20

What is the slope of the line represented by 5x – 2y = 24?

Answers

The answer would be 5/2

Answer:

the slope is y=5/2x-12

What is the answer to 0.75 (6+d)=12 step by step

Answers

Answer:

step 1:   0.75 x 6 = 4.5

step 2:   0.75 x d = 0.75d

step 3:    4.5 + 0.75 = 5.25

It's correct answer

Step-by-step explanation:

4x12≤ -8 Anyone know I need help

Answers

I hope this is what you meant

HELP PLEASE WILL GIVE BRAINLIEST!

Eve knits scarves for her online store. This week she has already knitted 9 scarves. There are 2 days left in the work week. She set a goal for herself to knit at least 17 scarves and at the most 19 scarves this week. Eve wants to know how many scarves she should knit each day to meet her goal.

Which inequality represents the given situation?


A.
17 ≤ 2x - 9 ≤ 19
B.
17 ≥ 2x + 9 ≥ 19
C.
17 ≤ 2x - 9 ≥ 19
D.
17 ≤ 2x + 9 ≤ 19

Answers

we can eliminate A and C first because A says 17 would be the most or equal to when we know she said 19 would be the most and C says that 19 would be the least or equal to. so the answer would be D. but it’s D because B says 17 would be the most or equal while saying 19 would be the least and we know that’s not true.

TL;DR: the answer is D

look at the picture.

Answers

Answer:

66

Step-by-step explanation:

66 square root is 8.12403840464

Answer:

i got 66

Step-by-step explanation:

REEEEEEEEEEEEEEEEE

Find the solution set for 9x2 = 144?


ANSWER PLEASE

BRAINLY AND 74 points

Answers

Answer:12

Step-by-step explanation:

I need to simplify this one fast. please help! ​

Answers

ANSWER:

If this helped, please mark brainliest:)

what is 1+3x when x=1

Answers

Answer:

4

Step-by-step explanation:

1+3*1

3*1=3

3+1=4

Answer:

the answer is 4

Step-by-step explanation:

you do 3 times 1 witch is 3 then add 1 also hears a tip always do multiplication and division first

Consider the triangle.
Which shows the order of the angles from smallest to
largest?
O angle A, angle B, angle C
O angle B, angle A, angle C
O angle B, angle C, angle A
O angle C gle A, angle B

Answers

Answer:

c.gle c.angel B

Step-by-step explanation:

consider the triangle which shows the order of the angles from smallest to largest?

When the midpoints of a polygon with 14 sides are joined by the mid-segments, the resulting inscribed polygon will have how many sides? What if you inscribed another polygon inside the second polygon? How many sides would this new polygon have?

Answers

Answer:

im not sure if this is right or not but i think its 23

Step-by-step explanation:

A triangle has sides with lengths of 4 millimeters, 5 millimeters, and 8 millimeters. Is it a right triangle?​

Answers

Answer: No its not a right angled triangle. Please mark as brainliest!

Answer:

Yes

Step-by-step explanation:4 mm and 5 mm are the A and B part of the triangle while the 8 mm is the hypotenuse

100 POINTS!!!!!!!!!!! ( I NEED FAST ANSWERS ) Evaluate the function, find f(-2):
f(x) = 2x2 + 3x
-2
-14
2
-10

Answers

Answer:

2

Step-by-step explanation:

[tex]f(-2)\\f(x)=2x^2+3x[/tex]

when x=-2,   y=2

Hope this helps! (✿◕‿◕✿)

Solve 9.1r - 4. lr - 14= -34

Answers

Answer:

Step-by-step explanations:

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