100PTS PLEASE GIVE EXPLANATION
(I really need help please)

2x + 6y= 12

X + 3y= 6


In solving the system of equations shown above, Sean showed the following steps:

Step 1: x = 6 – 3y

Step 2: 2(6-3y) + 6y = 12

Step 3: 12 – 6y + 6y = 12

Step 4: 12 = 12


Sean’s work is correct. However, there are no variables in Sean’s final step. What can he state as the solution of the system?

Answers

Answer 1

Answer:

The system has infinitely many solutions

Step-by-step explanation:

There are no variables left. And the final equation is correct.

It means the system is going to be correct for any value of variables. So there are infinitely many solutions

Answer 2

Answer:

Step-by-step explanation:

There are two equations in the question

[tex]2x+6y=12\ -->Equation\ 1\\\\x+3y=6\ -->Equation\ 2\\\\[/tex]

If we take 2 common from the first Equation it becomes,

[tex]2(x+3y)=12\\\\x+3y=12/6\\\\x+3y=6\\[/tex]

Now we can see that both the Equations are similar which means they would have the same graph.

Since both the equations have the same equation of line they have infinitely many solutions which means both the lines intersect at each and every point on the line, since both the lines are on top of each other.

We can also see that in Step 4 where 12 = 12 there are no variables in the equation which also means that the work is correct and Sean can say that the system of equations is consistent and dependent which means they have infinite number of solutions


Related Questions

50.2 x 1 10² tenths equal?

Answers

Answer:

607,420

Step-by-step explanation:

hope it is correct and helps

Expanding each integer in the expression 21 × 12, the result is [(2 × 101) + (1 × 100)] × [(1 × 101) + (2 × 100)]. Replace the 10s with x’s and then multiply this expression using FOIL. Compare it with the normal integer multiplication method used above: How are they similar? Show your work.

Answers

bxjabcbkbkebwjbckjwStep-by-step explanation:

Answer:

this is step up very weird could you set it up a bit clearer?

Step-by-step explanation:

What's the value of 6.8(98.44−84.29)+33.1??

Answers

Answer:

129.32

Step-by-step explanation:

You multiply 6.8 by both values in the parenthesis and then subtract that number and lastly, take that value and add it to 33.1 which equals 129.32

129.32 hope this helps.

YALL HELP PLEASE THANK U

Answers

Answer:

I am not getting this question

Step-by-step explanation:

Given Vertex (5,4) and focus (8,4)

It can be easily noticed that focus and vertex lie on the same horizontal line y = 4

Obviously, the axis of symmetry is a horizontal line ( a line perpendicular to y-axis). Also, the focus lies to the right of the vertex so the parabola will open up rightward.

(y−k)^2=4a(x−h)

a=8-5=3 as y coordinates are the same.

Since the focus lies to the left of vertex, a = 3

(y−4)^2=4⋅3⋅(x−5)

(y−4)^2=12(x−5)

is the equation of the parabola.

Please show steps on how you simplified it

Answers

Answer:

4(3^2)

3^2=9

4(9)= 36

Answer:

4(3•3)

4(9)

36

Step-by-step explanation:

3 to the second power is equal to 3•3, which is equal to 9

Then you do 4 times 9, equals to 36

Three students Tahat, Promi and Kabi, Appeared at an examination. Promi secured 11 marks less than Tahat, 5 marks more than kabi and again. Tahat's marks were 75% of the sum of Promi and Kabi's marks. Find out their individual marks

Answers

Answer:     Tahat= 40.5 marks    Promi =29.5 marks,  Kabi =24.5 marks

Step-by-step explanation:

Step 1

Let the marks be represented as  x+11, x and x-5 for Tahat, Promi and Kabi respectively

and Tahat's marks which was 75% of the sum of Promi and Kabi's marks be expressed as

x+11 = 75/100(x + x-5)  

Step 2 --- Solving

x+11 = 75/100(x + x-5)  

x+ 11 = 3/4(2x-5)

x+11= 6x-15/4

4x+44=6x-15

44+15=2x

x= 59/2= 29.5,

A) x= Promi's  mark was 29.5

B)Promi secured 5 marks more than kabi

Therefore, Kabi's mark was 5 marks less than Promi

= x-5

29.5- 5= 24.5 marks

C)Promi secured 11 marks less than Tahat, Therefore Tahat marks were 11 marks more than Promi

x+11= 29.5 + 11= 40.5

Plz help me answer this

Answers

Answer:

(-2, -8)

x = -2

y = -8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define systems

13x - 6y = 22

x = y + 6

Step 2: Solve for y

Substitution

Substitute in x:                              13(y + 6) - 6y = 22Distribute 13:                                 13y + 78 - 6y = 22Combine like terms:                      7y + 78 = 22Isolate y term:                                7y = -56Isolate y:                                         y = -8

Step 3: Solve for x

Define original equation:                    x = y + 6Substitute in y:                                     x = -8 + 6Add:                                                      x = -2

5h + 10 = 4h + h + 15

Answers

Answer:

h = no solution

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

5h + 10 = 5h + 15

Step 2: Solve for h

Subtract 5h on both sides:                    10 ≠ 15

Here we see that 10 does not equal 15.

h has no solution.

Final Answer: No Solution

Steps/Reasons:

Step 1: Simplify [tex]4h + h + 15[/tex] to [tex]5h + 15[/tex].

[tex]5h + 10 = 5h + 15[/tex]

Step 2: Cancel [tex]5h[/tex] from both sides.

[tex]10 = 15[/tex]

Step 3: Because [tex]10 = 15[/tex] is false, there is no solution.

No Solution

~I hope I helped :)~

What is - 2 x 6 - 5^2?

Answers

Answer:

The answer is -300

Step-by-step explanation:

The answer is -300 because -2 multiplied by 6 is -12 and -12 times 25 is -300


Learning Task 2 without graphing tell whether the graphs of the system of equations are parallel, perpendicular,intersecting or coinciding
1.y = x + 7 and y = - x + 2
2.Y = 5x and y = 5x - 1
3. 2x + y = 1 and 2y + 4x = 2
4. Y = 2x + 3 and y = -x - 4​

Answers

Answer:

1.Perpendicular

2. Parallel

3. Parallel

4.

Step-by-step explanation:

If two lines are parallel, slope is equal

If perpendicular, product of slopes is -1

y = mx + c is the general equation of a line form

m represents slope

1. slope is -1 and 1, they are perpendicular

2. Slope is 5 in both cases, they are parallel

3. slope is equal; equation ii is same as i if rewritten

They are parallel

4.

ABCD is a parallelogram which statements are true

Answers

2nd one and 4th one are the correct answers



Tell me if I’m right or wrong
I think ur right? I’m not sure tho.

marking brainliest to whoever gives me the right andwe

Answers

-1 + 14x = 12x +17
x = 9

Write the first ten terms of a sequence whose first term is -10 and whose common difference is -2. PLS ANSWER CORRECT ANSWER WILL GET BRAINLIEST 100 POINTSSS

Answers

Answer:

T

n

+

1

=

T

n

+

d

T

1

=

a

Where the first term is equal to

a

and the common difference is

d

.

Option a can be expressed as follows:

T

n

+

1

=

T

n

+

4

T

1

=

1

Option c can be expressed as follows:

T

n

+

1

=

T

n

4

T

1

=

1

Hence both are arithmetic sequences (the other two options are geometric sequences with common ratios of 4 and 0.25 respectively)

Hope that helps :)

Step-by-step explanation:

please tell me if my answers are right

Answers

Yeah I’m PREETY sure


+Which number should you put in question mark ?
53 (3) 59
92 (4) 98
34 (2) 38
71 (?) 79

+Answer
A : 1
B : 5
C : 7
D : 9
E : no answer



Answers

Answer:

what is this I can't understand???

use the distribute property to rewrite the following expression (6+15). your final answer should be in the form _(_+_).

what's in the blanks? ​

Answers

Answer:

3(2+5)

Step-by-step explanation:

The common number that both 6 and 15 can be divided by is 3

3x2=6 and 3x5=15

PLEASE HELP. SOON. I really need help i’m struggling a lot lol

Answers

Answer: A

Step-by-step explanation: trust me bro

Derek needs 2 gallons water to mix a sport drink , but he only has a 1 cup measuring cup.

Answers

Answer:

He can fill up his fill up his measuring cup 8 times that is pretty simple

Step-by-step example

4 cups is in one gallon

Three friends pay 1025 to rent a vacation home. Beth contributed $80 more than danny. Katie contributed $20 less than Beth. How much did Danny contribute?

Answers

Answer:

Danny contributed $295

Step-by-step explanation:

Assume that Danny contributed $x

Danny contributed x

∵ Beth contributed $80 more than Danny

→ Add The amount of Danny by $80 to get the amount od Beth

Beth contributed x + 80

∵ Katie contributed $20 less than Beth

→ Subtract the amount of Beth by 20 to get the amount of Katie

∴ Katie contributed x + 80 - 20

Katie contributed x + 60

∵ The three friends pay $1025

→ Add their amounts and equate the sum by 1025

x + x + 80 + x + 60 = 1025

→ Add the like terms in the left side

∵ (x + x + x) + (80 + 60) = 1025

∴ 3x + 140 = 1025

→ Subtract 140 from both sides

∴ 3x + 140 - 140 = 1025 - 140

∴ 3x = 885

→ Divide both sides by 3

x = 295

∵ x represents the amount of Danny contributed

Danny contributed $295

Plzz what the answer I’m stuck

Answers

Answer:

the answer to your question is 576 square feet

Step-by-step explanation:

Step 1: 96 ÷ 4 = 24

Step 2: 24×24 =576

P(2-r)-17=109 what is the answer

Answers

Answer:

                              126

                    P = -------------

                              2 - r

Step-by-step explanation:

Solve for P:  P(2-r)-17=109

Combining the constant terms:

                     P(2 - r) = 126

Dividing both sides by (2 - r) isolates P:

                              126

                    P = -------------

                              2 - r

What is the absolute value of -0.58?

Answers

.58. Absolute value gets rid of negative.

Answer:

0.58 I think because absolute value is positive

Convert 3 2/7 into improper fractions

21/7
23/7
41/7
None of the above

Answers

Hello,

The correct answer is B.

Further explanation: The first step is to multiply 3 by 7. That gives you 21, then add 21+2. Then put your denominator at the bottom.

Workspace:

3 * 7

=21

21 + 2

=23/7

The equation 125 + 37.52x = y models the amount of money in your wallet Y is the total amount of dollars and x is the number of weeks from today. Is the equation in slope intercept form? Explain

If you graphed this situation what would the slope represent? Explain

If you graphed this situation what would the y intercept be and what would it represent?

What units make sense for the slope?

Answers

Answer:

Please check solution for answer

Step-by-step explanation:

The general equation of for the slope of a line is

y = mx + c

where m is slope and c is the y-intercept

a). Yes it is in the slope-intercept form

b) The slope would represent the amount of money in dollars per week that is in the wallet

c) The y-intercept would be 125 and it is the amount of money present in the wallet before today

d) The slope would have a unit of dollars per week

88 x 88/22 x 11 x 11​

Answers

Answer:

42592

Step-by-step explanation:

Answer:42592

Step-by-step explanation: So what you do is do 88 times 88/22 and so on :)

What is the graph of the given function?
f(x) = -2(x – 3)2 + 4
Graph

Answers

Answer:

the graph attached is the answer

Stacy starts a savings account with $15. Each month she deposits 6$ more into her
account. Stacy now has $81 in her account. Write an equation, then solve, to find how
many months Stacy has deposited money into her savings account.

Answers

Answer:

After 11 months, Stacy will have $81 in her savings account.

Step-by-step explanation:

15 + 6m = 81

6m = 66

m = 11

How long will it be from December 18 from 8:25 am to December 24 to 4.30 pm

Answers

December 18th to 24th is 6 days! And 8:25am to 4:30 pm is 8 hours and 5 minutes. So, in total, it’s 6 days, 8 hours, and 5 minutes.

Larissa takes a dose of 4 drops of medicine every day, three times a day. One milliliter (mL) of the medicine contains about 20 drops. If the medicine comes in a 12 mL bottle, approximately how many days will the bottle last?

Answers

Answer:

The bottle will last for 20 days.

Step-by-step explanation:

Given that:

Number of drops in a dose = 4 drops

Dose is taken three times a day, therefore,

Number of drops taken in a day = 4*3 = 12 drops

One milliliter = 20 drops

12 mL = 20*12 = 240 drops

Number of days the bottle will last can be find out by calculating total number of drops by the number of drops consumed in a day.

Number of days bottle will last = [tex]\frac{240}{12}=20[/tex]

Hence,

The bottle will last for 20 days.

what is this answer? :)

Answers

Answer:

the answer is b

Step-by-step explanation:

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