3x3x-5y-7=0
X=2k-1.
Y=k

Answers

Answer 1

Answer:

Step-by-step explanation:

We know that the system of equations

a

1

x+b

1

y=c

1

a

2

x+b

2

y=c

2

has infinitely many solutions, if

a

2

a

1

=

b

2

b

1

=

c

2

c

1

Here, a

1

=2,b

1

=3,c

1

=4,a

2

=k+2,b

2

=6,c

2

=3k+2.

Therefore, the given system of equations will have infinitely many solutions, if

k+2

2

=

6

3

=

3k+2

4

k+2

2

=

6

3

 and  

6

3

=

3k+2

4

k+2

2

=

2

1

 and  

2

1

=

3k+2

4

⇒k+2=4 and 3k+2=8

⇒k=2 and k=2

⇒k=2

Hence, the given system of equations will have infinitely many solutions, if k=2.


Related Questions

en un restaurante se usan 70 gramos por cada porción de arroz por persona.Si un día se preparan 4760 gramos de arroz ¿cuántas porciones se obtendrán?​

Answers

Queremos saber cuantas porciones de arroz se preparan dado que conocemos cuantos gramos de arroz se utilizan.

Se prepararon 68 porciones.

Lo que sabemos en principio es que, por cada porción de arroz, se necesitan 70 gramos de arroz.

Sabemos que en total se utilizan 4,760 gramos de arroz. Para saber cuantas porciones se prepararon, hay que tomar el cociente entre la cantidad total utilizada y lo que se usa para cada porción.

Esto nos da:

4,760g/70g = 68

Es decir, se prepararon 68 porciones.

Sí quieres aprender más, puedes leer

https://brainly.com/question/18070326

Hello. . .

I need help please. . .

answers/w explanation. ✅

Nonsense answers, or answers that's not the question I ask for will be reported.

Answers

Answer:

x = 1 , y = 4

Step-by-step explanation:

I am assuming you're looking for what x and y are? If so, then we know that

DC and AB equal each other, so

4x + y = 8

CB and AD equal each other, so

2x + y = 6

We have two equations that cannot be solved on their own, so we must solve them as a system of equations. One process to solve is elimination.

4x + y = 8

2x + y = 6

we can multiply the second equation all by -1 to make the y's cancel out and give us x. so,

4x + y = 8

-1(2x + y) = 6

4x + y = 8

-2x -y = -6

now solve them vertically. we get:

2x = 2

and so x = 1.

Now that we found x, we must find y. Using any of the two equations froom above, we can substitue our x value of 1 into it to find y. I will use the first one.

4x + y = 8

4(1) + y = 8

4 + y = 8

y = 8 - 4

y = 4

so our x is 1 and y is 4.

hope this helps! (:

A lab technician has 40 gallons of a 15% iodine solution. How many

gallons of a 40% iodine solution must he add to make a 20% iodine solution?


Please show work!!

Answers

The quantity of a 40% iodine solution that must be added to 40 gallons of a 15% iodine solution to make a 20% iodine solution is: 10 gallons.

According to the question;

We are required to determine how many gallons of a 40% iodine solution must he add to make a 20% iodine solution.

Let gallons of a 40% iodine solution to be added be; x gallons.

Therefore, the total gallons of a 20% iodine solution obtained is; (40+x) gallons.

By mass balance of iodine in each solution;

(15% of 40) + (40% of x) = (20% of (40 + x))

(0.15 × 40) + 0.4x = 0.2x + 8

0.2x = 2

x = 10 gallons.

In essence; 10 gallons of a 40% iodine solution must be added to make a 20% iodine solution.

Read more:

https://brainly.com/question/20730855

If y=6 when x=2 over 3 find x when y=12

Answers

Answer:

4/3 or 1 1/3

Step-by-step explanation:

So if y = 6, when x = 2/3. Then, x would equal 1 and 1/3, because 12 is twice the amount of 6, so you'd also multiply 2/3 by 2.

(To multiply a whole number by a fraction, first multiply the whole number by the numerator and then divide that by the denominator. For example: 2 × 2 = 4, since you can't really divide 4 by 3 it would stay as is, but you can turn it to a mixed number. 4/3 is the same as 1 whole and an extra 1/3, or in other words 1 1/3).

Hope this helped :)

Help help help help help help help help help

Answers

Answer:

subtract 20 from both sides

Step-by-step explanation:

1. To find the answer, let's actually try solving the equation first and find the 2nd step.

2. (Solving)

Step 1: Distribute 2 to each term.

[tex](2)(x)+(2)(10)=60[/tex] [tex]2x + 20 = 60[/tex]

Step 2: Subtract 20 from both sides.

[tex]2x + 20 - 20 = 60 - 20[/tex] [tex]2x = 40[/tex]

3. Since we got that the second step was "subtract 20 from both sides," the answer is subtract 20 from both sides.

Activity:theresa's mother ask her to buy dressed chicken if a kilo of dressed chick cost​

Answers

Step-by-step explanation:

450/180= 2.5 kilos

it is a one to one relationship

f(x)=x/180

where x is the amount given to her

Read the statement below and then select the idea that can be inferred from the statement.

Toxicity is high in cities. HELP FASSSSSSSST!!!!!

Environmental scientists help keep the air safe.
Temple University is near Philadelphia.
There is some lead in drinking water.
There are more factories in the city than in the country.
Ground soil can become poisoned with lead.

Answers

Answer: I would say 4

Step-by-step explanation:

Answer:

There are more factories in the city than in the country.

Step-by-step explanation:

Hope this helps!

Question number eight.

Answers

Answer:

true

Step-by-step explanation:

a to there powe8 and a to the power1

PLEASE PLEASE PLEASEEE HELP ILL GIVE U 50 POINTS AND BRAINLIEST :D

Answers

I don’t know the answer to the second problem sorry but I hope this helps

Answer:

See below

Step-by-step explanation:

#22

Find the difference:

6.48×10⁷ - 2.15×10⁷ = (6.48 - 2.15)×10⁷ = 4.33×10⁷ people#23

Find the ratio:

2.15×10⁷ / 2.95×10⁶ = 21.5/2.95 = 7.28 people / mi²#24

Find the ratio:

1.3×10⁹ / 6.48×10⁷ = 130/6.48 = 20 times

Profit and loss. Help plz​

Answers

Answer:

351 minus 316 I think

Step-by-step explanation:

okay so you will do 351 minus 316 and ur answer is 35 so her profit is 35 dollars also known as 35$ I hope this helped!!

Name the part of AKTH.
TS is a(n) [blank].

PLEASE PLEASE HELP !!!

Answers

Answer:

I'm pretty sure that's an angle.

Step-by-step explanation:

3x - 5y = 4, -2x + 6y = 18 (system of equations)

Answers

Answer:

(x, y) = (57/4, 31/4)

Step-by-step explanation:

-2x + 6y = 18

-2x = 18 - 6y

x = -9 + 3y

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

-27 + 9y - 5y = 4

4y = 31

y = 31/4

x = -9 + 3(31/4) = 57/4

Answer:

Step-by-step explanation:

-5y=4-3x

y=(4/-5)-(3/-5x)

2x+6y=18

6y=18-2x

y=18/6-(2/6x)

y=y

(4/-5)-(3/-5x)=18/6-(2/6x)

0.93x=3.8

x=3.8/0.93

x=4.09

sub 4.09 for the 3x-5y=4

which will give you y=1.65

sub 4.09 for -2x+6y=18

which will give you y=4.36

ANSWER THIS ASAP PLEASE !

Answers

Simple the answer is: n=14

2n-3=25
We can move the divided by to other side of equal sign and it now because multiply by 5.
2n=28
We add 3 to both sides of equal sign
n=14
We divide 2 to both sides of equal sign to get the variable by itself
Your answer is : n=14


Where on the coordinate plane is the point (-85, 52) located?
O Quadrant 4
O Quadrant 2
Quadrant 3
O Quadrant 1
Next >
Previous

Answers

Answer:

quadrant 2 you're welcome :-)

Answer:

Quadrant 2

Step-by-step explanation:

Since the x coordinate is negative, it must in quadrant 2 or 3

Since the y coordinate is positive, it must in quadrant 1 or 2

It must be in quadrant 2

Simplify the numerical expression:

(0.05)(-0.25)

A) -0.0125
B) 0.0125
C) -1.25
D) 1.25

Answers

Answer:

A) -0.0125

Step-by-step explanation:

-1/80 (fractional form)

Under which angle conditions could a triangle exist? Check all that apply.

3 acute angles
2 acute angles, 1 right angle
1 acute angle, 1 right angle, 1 obtuse angle
1 acute angle, 2 obtuse angles
2 acute angles, 1 obtuse angle under which angle conditions could a triangle exist? Check all that apply.

3 acute angles
2 acute angles, 1 right angle
1 acute angle, 1 right angle, 1 obtuse angle
1 acute angle, 2 obtuse angles
2 acute angles, 1 obtuse angle

Answers

Answer:

The answer in short is A,B and E

Step-by-step explanation:

Answer:

3 acute angles

2 acute angles, 1 right angle

2 acute angles, 1 obtuse angle

Step-by-step explanation:

What is 45% of 345? Please help me I’m failing math

Answers

Answer:

155.25

Step-by-step explanation:

Answer:

155.25

Step-by-step explanation:

Since 45% is equal to 0.45, simply multiply 0.45 x 345 and youll get 155.25

3x - 5y = 4
-2x + 6y = 18

Answers

Answer:

From 1st eqn .,

3x=4+5y

X=4+5y/3

From 2nd eqn ..,

-2x+6y=18

-2(4+5y/3)+6y=18

-8+10y/3 +6y=18

-8+10y+18y/3=18

-8+28y/3=18

-8+28y=54

28y=54+8

y=62/28

y=31/14

Therefore the value of y is 31/14

Again,

Putting the value of y in ..

X=4+5y/3

=(4+5*31/14)/3

=(211/14)/3

=211/42

Step-by-step explanation:

So the value of X and y is 31/14 &211/42 respectively.

Plz mark me brainest .

Answer:

x=14:25;convert to whole number 14:y=7:75; convert to whole number is 7

Step-by-step explanation:

using determiner method {x=3and-2;y=5and6}=4and18; solution cross multiple 3×6-5×6=general determiner is 28; to solve for x exchange for the number for x with the number outside which is 4;18

I don't understand this question can someone help me with this please, please explain!! and thank you for the help!! If u dont know try your best :D

Answers

Answer for 33 = 1, 3, 11, 33.

This is because all of those numbers divide into 33 evenly / are factors of 33.

Answer for 93 = 1, 3, 31, 93

This is because all of those numbers divide into 93 evenly / are factors of 93.

Answer:

1) composite: 1, 3 , 11 , 33

2) composite 1, 3, 31, 93

Step-by-step explanation:

1) We know that 33 is divisible by 3 because the whole value is equal to 6, and the last digit is a 3.

2) We know that 93 is divisible by 3 because the last digit was 3, and all of the place values added up to 12, which is also divisible by 3.

-kiniwih426

I WILL GIVE BRAINLIEST. PLEASE ANSWER ILL GIVE A LOT OF POINTS

Answers

To graph a straight line only 2 points are required

although 3 points are better (in case of error with other 2 .)

To find the y-intercept let x = 0 : hence y = - 5 ie (0 , - 5 )

To find the x-intercept let y = 0 : hence -x - 5 = 0 so x = - 5

ie ( - 5 , 0 )

These 2 points will allow the line to be drawn but a 3rd

is preferable. Choose any value for x and evaluate y.

choose x = 2 : then y = - 2 - 5 = - 7 ie (2 , - 7 )

Plot these 3 points: (0 , - 5 ) , (- 5 , 0 ) and (2 , - 7 ) and

draw a straight line through them .

Here is the graph of y = - x - 5

graph{-x-5 [-20, 20, -10, 10]}

Answer:

Y=3x-5

Step-by-step explanation:

According to her running log, Ariana averaged 4 miles per week last month and 75% less this month. How much did she average this month?

Answers

Answer:

She averaged 3 miles per week this month.

Step-by-step explanation:

You just take 75% of 4 and get 3.

Use simple interest to find the ending balance​

Answers

Answer: 7788.50

Solving steps:
P = 7400, R = 10.5%, T = 6

F = P + P rt
P = 7400
R = 10.5%
T = 6

F = 7400 + 7400rt

7400 x (12 + 6 x 0.105/12

7400 x (12 + 0.63)/12

7400 x 12.63/12

93462/12

15577/12

15577/2 0.01
7788.50
Answer: 7788.50

1) a supermarket sells articles during the festival seasons with a 10% discount. find the new price of the following articles.

i) A CFL bulb if the marked price is Rs. 280

ii) A bunion if the marked price is Rs. 650.

iii) A gas cooker if the marked price is Rs. 7500

Answers

Answer:

252, 585, 6750

Step-by-step explanation:

We have to think that the regular price represents 100% and we need 10 of 10% to make an 100%. So if we divide the regular price by 10 will get our 10%.

i) A CFL bulb if the marked price is Rs. 280

10 % of 280 is 280/10 = 28

discounted price is 280 -28 = 252

ii) A bunion if the marked price is Rs. 650.

10 % of 650 is 650/10 = 65

discounted price is 650 -65 = 585

iii) A gas cooker if the marked price is Rs. 7500

10 % of 7500 is 7500/10 = 750

discounted price is 7500 -750 = 6750

Darren made strawberry jam and raspberry jam. He made enough strawberry jam to fill 3 3/8 jars. If he made 3 5/6 times as much raspberry jam as strawberry jam, how many jars will the raspberry jam fill? Write your answer as mixed number

Answers

Answer:

Harry would have made 1 and 1/2 jars of raspberry jam

Step-by-step explanation:

Hope this helps

Raspberry jam can fill [tex]12\frac{15}{16}[/tex]  jars when the quantity of raspberry jam is [tex]3\frac{5}{6}[/tex] times as strawberry jam .

Given, that strawberry jam has filled 3 3/8 jars.

Multiplication: It is the basic mathematical operation among division, addition and subtraction.

The number of jars of strawberry jam is [tex]3\frac{3}{8}[/tex] jars.

The number of jars of raspberry jam is [tex]3\frac{5}{6}[/tex] times of the number of jars of strawberry jam.

So,

[tex]3\frac{3}{8} \times 3\frac{5}{6}[/tex]

[tex]= \frac{27}{8} \times \frac{23}{6}\\ \\= 207/16\\\\= 12\frac{15}{16}[/tex]

The number of jars of raspberry jam is [tex]12\frac{15}{16}[/tex] .

Learn more about multiplication, here:

https://brainly.com/question/10703980

#SPJ3

Please help :)
40 percent of the leaves are still green. If there are 12,000 total leaves, how many are no longer green?

Answers

Answer: 7200

Step-by-step explanation:

40 percent of leaves are green so 60 percent of leaves are no longer green.

there are 12000 total leaves so [tex]\frac{60}{100}[/tex] × [tex]12000[/tex] = 7200

please give me a brainliest answer

Athena's credit card has an APR of 16.99%. If her current monthly balance, before interest, is
$1,567.32, what amount will she be charged for interest?
O $26.63
O $22.19
O $45.00
O $31.19

Answers

It’s a I believeeee

Which of the following equations have infinitely many solutions?
Choose all answers that apply:

A
- 10x - 10 = -10x + 10

B
10x - 10 = -10x - 10

C
- 10x - 10 = -10x - 10

D
10x – 10 = -10x + 10

Answers

Answer:

10

Step-by-step explanation:

that is the answer because its her choice

I need an answer and I’m offering a lot!!

Given: angle 8 and angle 6 are corresponding
angles. Identify the transversal.

Answers

Line t. It cuts directly into the angle. Don’t get it confused with bisect because that comes directly from the angle and not just anywhere on it. Hope this helps

someone buys a chair in sale for 435.60 dollars. its is a reduction of 12% from the the original price. what is the original price... the amswer is 495 dollars but i need someone to explain it​

Answers

100%=(435.60÷88)x100

which is 495.

Answer:

Step-by-step explanation:

435,60:12%

last 2 guyss !!!! tysm

Answers

First one is a rotation 90° clockwise

Second one is B. 134°

Answer:

A 90° clockwise

B 134°

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