x - 2y = 8
3x = 19 + 4y
how to answer this through elimination or substitution method?​

Answers

Answer 1

Answer:

The solution of the given equations

x = 3 and y =-2.5

Step-by-step explanation:

Step(i):-

  x - 2y = 8 ..(i)

3x = 19 +4y ..(ii)

By using substitution method

substituting  x = 2y +8 in equation (ii)

 ⇒  3( 2y +8) = 19 +4y

⇒   6y +24 = 19 +4y

⇒  6 y - 4y = 19 - 24

⇒   2 y = -5

   [tex]y = \frac{-5}{2} = -2.5[/tex]

Step(ii):-

Substitute 'y' = -2.5 in equation (i) , we get

         x - 2y = 8

   ⇒  x - 2( [tex]\frac{-5}{2}[/tex]) =8

  ⇒  x = 8 -5

      x = 3        

Final answer:-

The solution of the given equations

x = 3 and y =-2.5


Related Questions

Simplify the expression using the distributive property:
18x+20
————- =
2

Answers

Answer:

18x+20=2

18(-1)+20=2

Step-by-step explanation:

18(-1)=-18

-18+20=2

a trader sold a wrist watch for 3150 after giving a 10% discount find the marked price of the Watch​

Answers

Step-by-step explanation:

[tex]{ \frac{10}{100} \times 3150 = 315[/tex]

Can someone help I have to hand this in

Answers

it’s 1................

Select the answer choice that correctly describes the graph (on a number line) of the inequality: h > 7
Group of answer choices

closed circle at 7 with an arrow pointing left

open circle at 7 with an arrow pointing left

open circle at 7 with an arrow pointing right

closed circle at 7 with an arrow pointing right

Answers

Close circle at 7 with an arrow pointing

right.

hope it helps

In 2010, the population of a city was 168,000. From 2010 to 2015, the population grew by 8%. From 2015 to 2020, it fell by 5%. To the nearest 100 people, what was the population in 2020?

Answers

Answer:

172000

Step-by-step explanation:

Population growth from  2010 to 2015 if population increased by 8% =

1.08 x 168,000. = 181440

Population growth from  2015 to 2020 if population decreased by 5% =

0.95 x 181440 = 172,368

Rounding off to the nearest 100 people = 172,000

The population in the year 2020 is 172,368.

Calculation of the  population in 2020:

Since

In 2010, the population of a city was 168,000. From 2010 to 2015, the population grew by 8%. From 2015 to 2020, it fell by 5%.

So,

[tex]= 168000 \times 1.08 \times 0.95[/tex]

= 172,368

hence, The population in the year 2020 is 172,368.

Learn more about population here: https://brainly.com/question/13977748

An urn contains 3 red and 5 orange marbles. 2 marbles are selected without replacement. Find the probability that the second marble selected is orange given that the first marble selected is orange.

Answers

Answer: [tex]\dfrac{5}{14}[/tex]

Step-by-step explanation:

Given: An urn contains 3 red and 5 orange marbles.

Total marbles = 3+5=8

Probability of getting orange marble = [tex]\dfrac{\text{Number of orange marble}}{\text{Total}}[/tex]

[tex]=\dfrac{5}{8}[/tex]

Now marbles left = 7

Orange marbles left = 4

and Probability of getting orange marble = [tex]\dfrac47[/tex]

The probability that the second marble selected is orange given that the first marble selected is orange[tex]=\dfrac58\times\dfrac47=\dfrac{5}{2}\times\dfrac17=\dfrac{5}{14}[/tex]

Required probability= [tex]\dfrac{5}{14}[/tex]

Given: AD = BC and AD || BC
Prove: ABCD is a parallelogram,
A
В
Assemble the proof by dragging tiles to
the Statements and Reasons columns

Answers

Answer:Hope this helps!

Step-by-step explanation:

James has one 10p coin, one 50p coin and some 20p coins.
Altogether he has £2.00
How many 20p coins does he have?​

Answers

Answer:

James has 7 20p coins.

Step-by-step explanation:

£2.00

- 50p

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

£1.50

- 10p

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

£1.40

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

140/20

14/2

7 (20p)

ILL GIVE U BRAINLYIST

Answers

Answer: the answer is circle

Step-by-step explanation: hope that helped

The following double line graph represents the heights (in inches) of Lana and Sabrina over a period of seven years. For how many of the years shown was Lana taller than Sabrina? 7 4 6 5

Answers

Answer:

5 inches babesss

Step-by-step explanation:

Answer:

She was taller than Sabrina for 6 years.

Step-by-step explanation:

Jonathan is driving back home from a business trip and covers 400 miles in 5 hours. What is his car average speed in miles per hour?

Answers

Answer:

80

Step-by-step explanation:

Miles/Hours

400miles/5hours=80mph

what integer best represents a withdraw of $40. please hurry its due asap.
thanks so much​

Answers

Answer:

-40 your welcome

Step-by-step explanation:

At a car garage there are 100 vehicles, 60 of which are cars, 30 are vans and the remainder are
lorries. If every vehicle is equally likely to leave, find the probability of a lorry leaving first.

Answers

Answer:

there are 10 of the other kind of cars

Step-by-step explanation:

Answer:

10%

Step-by-step explanation:

since there are 100 cars it makes it easy to make into a percentage. so since there are only 10 cars the awnser is 10%

Elena is selling tickets to a school play. She sells the tickets for $15 each. Her goal is to raise
more than $180 selling the tickets. She wants to know how many tickets she can sell to meet
her goal.
Lett be the number of tickets Elena sells. Which inequality represents the situation?
15t > 180
Solve the inequality 15t > 180.
I just need the inequality solved

Answers

Answer:

15t > 180

Step-by-step explanation:

Answer:

T>12

Step-by-step explanation:

please please help its due today, i give brainlest

Answers

Answer: B

Step-by-step explanation: Imagine the axis being a mirror if you draw a triangle and put it in a mirror u would get what is on B

Answer:

B or C

I’m still bad In geometry

Maria bought G gallons of gasoline for $2.75 per gallon and see cans of oil for $3.15 per can a what expression can be used to determine the total amount Maria spent on gasoline be if she bought 7.4 gallons of gasoline and eight cans of oil how much do you spend in all

Answers

Answer: $20.35 on gallons of gas and $25.2 on cans of oil

Which combinations hold the same amount of liquid as a 14-cup jug?

Answers

Answer:

b

Step-by-step explanation:

hbjbmnbbbbbbbbbbbbbbbbbbbbbbbbbbbbhbbbbbbbbbbbbbbb

Match the addition and subtraction problems to solutions

Answers

Answer: 1B.   2C 3E 4D 5E

Step-by-step explanation:

Answer:

[tex]\frac{5}{7} - \frac{3}{7} =[/tex] B [tex]\frac{2}{7}[/tex]

[tex]\frac{1}{6} + \frac{3}{6} =[/tex] C [tex]\frac{2}{3}[/tex]

[tex]\frac{1}{2} + \frac{1}{4} =[/tex] E [tex]\frac{3}{4}[/tex]

[tex]\frac{1}{5} + \frac{1}{2} =[/tex] D [tex]\frac{7}{10}[/tex]

[tex]\frac{1}{6} - \frac{1}{8} =[/tex] A [tex]\frac{1}{24}[/tex]

HELPPPP PLSSS IM FAILING MATHHH

Answers

Answer:

The answer is C

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

if you see where the red line ends on the right side it is at 170 on the protractor

There are 12 rolls of film in a box, and 4 are defective. Two rolls are to be selected, one after the other, sampling without replacement. What is the probability of selecting two defective rolls?
Group of answer choices

None of the answers is correct.

7/23

12/132

16/144

1/4

12/144

Answers

Using the hypergeometric distribution, it is found that the probability is 12/132

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

The rolls are chosen from a sample without replacement, which means that the hypergeometric distribution is used to solve this question.

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

Hypergeometric distribution:

The probability of x successes is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

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

12 rolls means that [tex]N = 12[/tex]4 defective means that [tex]k = 4[/tex]2 are chosen, which means that [tex]n = 2[/tex]

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

What is the probability of selecting two defective rolls?

This is P(X = 2). So

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 2) = h(2,12,2,4) = \frac{C_{4,2}*C_{8,0}}{C_{12,2}} = \frac{4 \times 3}{12 \times 11} = \frac{12}{132}[/tex]

12/132 is the probability.

A similar problem is found at https://brainly.com/question/24229905

HELP PLS!!! WILL GIVE BRAINLIEST!!!

Answers

Answer:

The correct answer is B.2 plz mark as brainliest.

Step-by-step explanation:

need help please and thank ​

Answers

Answer:

The Answer is B

Step-by-step explanation:

All the numbers and coefficients in option B correspond with the ones in the question. Hope this helps :)

The soccer club has planned a trip to a tournament. The cost of the van is
$231. When 3 students who are not members of the club join the trip, the
transportation cost per person drops by $4.50. How many soccer club
members are going to the tournament?
A. 14
B. 11
C. -14
D. -14, 11

Answers

Answer: B: 11

Step-by-step explanation:

Just to the quiz for it

An equation is formed of two equal expressions. The number of players going to the tournament is 11.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Since the cost of the van is fixed, therefore, 231. Thus, the two equations can be written as,

P × x = 231(P-4.50)×(x+3)=231

Solving the above two equations we will get,

Px + 3P - 4.50x -13.5 = 231

3P - 4.50x - 13.5 = 0

3P - 4.50x = 13.5

3(231/x) - (4.50x) = 13.5

693 - 4.50x² = 13.5x

-4.50x² - 13.5x + 693 = 0

x² + 3x - 154 = 0

x = -14, 11

Since the number of members can not be negative, the number of players going to the tournament is 11.

Learn more about Equation:

https://brainly.com/question/2263981

#SPJ2

Plz help now
We toss a die 4 times. among all possible outcomes how many have at least one occurrence of 1?

Answers

Answer:

4/24

Step-by-step explanation:

PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!
PLSSSS SHOWWW THE WORKKK!!!!

Answers

Answer:

no hablo inglés xd no te puedo ayudar

Answer:

y^4/x^2

Step-by-step explanation:

i wish i could show the work but tbh i just use the link i comment under

Its helpful

Amelia's family took a road trip to Niagara Falls. Amelia fell asleep after they had travelled 931 miles. If the total length of the trip was 980 miles, what percentage of the total trip had they travelled when Amelia fell asleep?

Answers

Answer:

95%

Step-by-step explanation:

Total distance of trip = 980 miles

Miles covered when Amelia slept = 931 miles

what percentage of the total trip had they travelled when Amelia fell asleep?

Miles yet to be covered = 980 miles - 931 miles

= 49 miles

percentage of the total trip had they travelled when Amelia fell asleep = 931 / 980 × 100

= 0.95 * 100

= 95%

Answer:

95%

Step-by-step explanation:


10 Factorise completely
a 6x2 + 18x
b 8y3 – 2y4
c 16xy – 8xy?
8 Expand and simplify
a 4(x + 3) + 7(x - 1)
b x(x – 6) – x(4x – 2)
C x(3x2 + 4) + 2x(5x2 + 9)
how do u do this and what's the answers?plsss helpp​

Answers

Step-by-step explanation:

Factorise completely

a 6x2 + 18x

Common factors

6x(x+3)

b 8y3 – 2y4

2y^3(4-y)

c 16xy – 8xy?

8xy(2-1)

8xy

8 Expand and simplify

a 4(x + 3) + 7(x - 1)

4x+12+7x-7

11x+5

b x(x – 6) – x(4x – 2)

x^2-6x-4x^2+2x

-3x^2-4x

-x(3x+4)

C x(3x2 + 4) + 2x(5x2 + 9)

3x^3+4x+10x^3+18x

13x^3+22x

x(13^2+22)

how do I solve this can someone explain it to me

Answers

Answer:

x = 125.44

Step-by-step explanation:

you multiply both side by 7

so 7 • 17.92 = 7 • x/7

125.44 = x

Answer:

x = 125.44

Step-by-step explanation:

multiply each side of the equation by 7

17.92(7) = [tex]\frac{x}{7}[/tex](7)

125.44 = 7x / 7

7x / 7 = 1x or x

x = 125.44

-9x2y5 is polynomial or monomial or binomial or trinomial or polynomial

Answers

Answer:

Monomial

Step-by-step explanation:

Monomial is only one value therefore the following value is a monomial.

[tex]-9x^2y^5[/tex]

Help me in number 10 please 6 points!!!!

Answers

Answer:

answer is 8.5

Step-by-step explanation:

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