Solve the following system of equations:

Solve The Following System Of Equations:

Answers

Answer 1

Answer:

The correct answer is option B: (-1, -1).

Step-by-step explanation:

The easiest way to solve this system is using elimination, or by adding the two equations together. We don't have to modify the equations at all, since the x's will already cancel out as written.

Upon addition, we get:

9y = -9

If we solve the equation by dividing both sides by 9, we get:

y = -1

To find the x value, we can substitute this value back into either of our original equations.

6x + 4y = -10

6x - 4 = -10

To solve for x, we should isolate the variable, or get it alone on one side of the equation.

6x = -6

x = -1

Therefore, the solution to the system of equations is x = -1 and y = -1, or (-1, -1), which is option B.


Related Questions

Today is my birthday. My age today, in months, is 72 times my age 5 years ago,
in years. My age today, in years, is

Answers

Answer:

Happy Birthday!

Step-by-step explanation:

Chiara's goal is to save $1 500. Each week she saves 15% of her weekly
income of $674.

Answers

Answer:

it will take about 15 weeks

Step-by-step explanation:

15% of 674 is about 101.

so, 1500 divided by 101 is about 15

hope this helps :)

Your restaurant can seat 150 guests. If 6 tables of 6 are seated, what percent of the restaurant seating is still empty?

Answers

Answer:

76%

Step-by-step explanation:

First, we know that 6 tables of 6 are already seated. We can go ahead and multiply 6 by 6, which is 36.

This means that 36 of the 150 seats are already taken.

But, we want to find the amount of seats that are still empty. So, we subtract 36 from 150 to get 114 seats.

The question is asking for the percentage, so we can divide 114 by 150 seats to get 0.76. Then, we have to move the decimal to the right 2 spaces to get 76%

Answer:

76% of the restaurant is still empty

Step-by-step explanation:

6 tables of 6 seated means there are currently 36 people seated. If the restaurant can seat 150 people, 76% of the restaurant is still empty.

[tex]6\times6=36\text{ | there are 36 guests}\\36\div150=0.24\text{ | 24\% of the restaurant is filled}\\1-0.24=0.76\text{ | 76\% of the restaurant is not filled}[/tex]

A Car’s rectangular gas tank has dimensions 30 cm by 25 cm by 42 cm.
(a) Calculate the capacity in liters, of the tank.
(b) If gasoline cost $154 per liter, what is the cost of filling the tank?

Answers

Answer:

$4851

Step-by-step explanation:

rectangular prism volume = length x width x height

1 litre = 1000 cm³

cost = $per litre x litres

v = l x w x h

30cm x 25cm x 42cm = 31500cm³

litres = cm³ / 1000

31500cm³ / 1000 = 31.5 litres

31.5 x $154 = $4851

Bill and his 3 friends read 55 books each for the year. Each book had 320 pages, How many pages did they all read in total that year? ​

Answers

Answer:

they all read 52.800 pages in that year

Step-by-step explanation:

320 X 55 = 17.600 pages/person

17.600 X 3 = 52.800 pages

52,800 you just have to muliply it all together

IS IT 60 SOMEONE PLEASE TELL ME THE RIGHT ONE !!!

Answers

Answer:

60 is the answer you're welcome

Complete the table for the equation Y=2x+3

Answers

Hope it helps.

Don't forget to click the Brainliest button and if you have any query, feel free to ask in the comment section.

please help ill mark brainliesta​

Answers

Answer: Neither

Step-by-step explanation:

y = -5/4 x + 3/4

y = 5/4 x + 3/4

Because -5/4 is not a negative reciprocal of 5/4 and because they are not the same, they are neither in parallel or perpendicular

HELPPP I need help Bc yeaa…

Answers

Answer:

hehehehe hey lois im in brainly

Step-by-step explanation:

this is so fricking epic

A farmer feeds her four horses 64 bales of hay each week. How many
bales of hay would the farmer need in order to feed 8 horses for a week

Answers

128 Bales of hay

Step-by-step explanation:

Take 64 and multiply it by 2 since 4 is half of 8 and 2 is double which make 64 so the answer is 128

X 2

___

128

167.1111111 round it to the nearest houndred

Answers

167.11 I’m not sure but i’m so sorry if this is wrong

A certain function multiplies Each input number by three to produce an output number given that X represents the input numbers and Y represents the output numbers which graph represents the function.

Please answer
No links
Picture is included

Answers

Answer:

The answer is A. Hope this helped!!!!!!

Answer:

answer C because is x is input and is multiplied by 3 so the function would have been y=3x so that is C

-2(x+1)= -2+5


How you solve that?

Answers

[tex]-2(x+1) = -2+5\\\\\implies -2x -2 = 3\\\\\implies -2x = 3 +2 =5\\\\\implies x = - \dfrac 52[/tex]

Add the numbers, then add 2 to both sides of the equation. The solution would be x = - 5/2

A video store offers two yearly pricing plans: A. $10.00 charge plus $2.50 for each movie rented. B. $4.00 charge (total) for the first 4 movies rented plus $3.00 per movie. How many movies will a person need to rent in order to spend an equal amount of money using either plan?

Answers

Answer:

  36

Step-by-step explanation:

The cost of renting n movies using Plan A is ...

  c = 10 +2.50n

The cost of renting n movies using Plan B is ...

  c = 4 +3(n -4) . . . . for n ≥ 4

The two costs are equal when ...

  4 +3(n -4) = 10 +2.50n

  0.50n = 18 . . . . . . . . . . add 8 -2.50n and simplify

  n = 36 . . . . . . . . . . multiply by 2

A person would have to rent 36 movies to spend the same using either plan.

EASY MATH QUESTION pls help asap

A movie theater charges $8.00 for adults and $5.00 for children. If there were 40 people altogether and the theater collected $272.00 at the end of the day, how many
of them were adults?
A. 29 adults
B. 16 adults
C. 24 adults
D.10 adults

Answers

Answer:

b 16 adult is - 40 people end of day

13. Jay has 12 classic cars in his garage. He paid
$3,500 for each car 5 years ago. The cars are
currently worth $4,200 each. How much more
must the average value of the cars rise for the
combined value of these 12 cars to be exactly
$10,800 more than Jay paid for them?
A. $200.00
B. $700.00
C. $800.50
D. $ 841.67
E. $958.33
(May need worked out, please!?)

Answers

Answer:

I believe the answer would be A. $200.00

Step-by-step explanation:

This is because if jay has 12 cars that he paid 3,500$ each for, the total cost would have been $42,000.

And the current price is 4,200$ for each car.

If you add 200$ to each 4,200$ car, you get 4,400$

After, you take the amount for each car (4,400) and multiply it by 12 (the amount of cars purchased) and you get 52,800.

You then need to subtract the recent cost of 12 cars (52,800) by 42,000$ (the original cost for 12 cars) and you will get $10,800.

52,800-42,000=10,800

therefore, A.$200.00 would be the correct answer

I'm not sure if all calculations are correct, but I hope this helps! :)

The average value of the cars must rise by $200 for the combined value of the 12 cars to be exactly $10,800 more than what Jay paid for them. Therefore, the correct answer is A. $200.00.

To find out how much more the average value of the cars must rise for the combined value to be $10,800 more than what Jay paid for them, we need to calculate the difference between the current combined value and the total price Jay paid, and then divide it by the number of cars.

Given:

Number of cars (n) = 12

Price Jay paid for each car (P) = $3,500

Current worth of each car (W) = $4,200

Total price Jay paid (T) = n * P = 12 * $3,500 = $42,000

Current combined value of the cars (C) = n * W = 12 * $4,200 = $50,400

Difference in value = C - T = $50,400 - $42,000 = $8,400

Additional increase needed = $10,800 - $8,400 = $2,400

To find the average increase needed per car, we divide the additional increase by the number of cars:

Average increase per car = Additional increase / Number of cars = $2,400 / 12 = $200

Therefore, the average value of the cars must rise by $200 for the combined value of the 12 cars to be exactly $10,800 more than what Jay paid for them.

The correct answer is A. $200.00.

To know more about average value, refer here:

https://brainly.com/question/32515383

#SPJ2

Three friends live in three different states. Monica lives in Rhode Island, Anthony lives in Ohio, and Thomas lives in Colorado.
a.) Determine the sales tax rate in each state.

Answers

Sales tax in Colorado is 2.85%, in Ohio is 5.50%, and in Rhode Island is 7%.

Colorado: 3.50 = 1003.60 = X3.60 x 100 / 3.50 = X360 / 3.5 = X102.85 = X2.85% = Sales tax

Ohio: Y = 1.055X10 x 1.055 = Y10.55 = Y10 = 10010.55 = X10.55 x 100 / 10 = X1055 / 10 = X105.5 = X5.5% = Sales tax

Rhode Island: 10 = 10010.70 = X10.70 x 100 / 10 = X1070 / 100 = X107 = X7% = Sales tax

Therefore, sales tax in Colorado is 2.85%, in Ohio is 5.50%, and in Rhode Island is 7%.

Learn more about maths in https://brainly.com/question/25866144

A bakery has 18 large trays of bagels and 20 small trays of bagels. Each large tray holds 30 bagels and each small tray holds 15 bagels.

Which equation could be used to find n, the total number of bagels the bakery has?


18 + 30 × 20 + 15 = n

18 × 30 + 20 × 15 = n

18 + 30 + 20 + 15 = n

18×30−20×15=n

Choose wisley

Answers

840 ( at least I think lol)

How could I write this out?

Answers

Answer:

1.6 divided by 8 is 0.2

Step-by-step explanation:

PLEASE HELP
What is the volume of the cylinder?
A. 60.0 cm3
B. 120.0 cm3
O C. 188.4 cm
D. 300.0 cm3
E. 942.0 cm

Answers

Answer:

i think E.942 cm³ is answer

Volume = πr²h

so

3.14×5×5×12

= 942 cm²

Find the x and y intercepts of y=-x-8

Answers

Answer:

anyone wants to have fun with indian girl ?

Sumas y restas de polinomios

Answers

Creo que es -13/2 -35y/4

Simplify the expression completely.

Answers

Answer: B

Step-by-step explanation: Best way to solve this is to first take the square root of 9 which is 3. Notice in the expression there is an x^4 but once the square root of 9x^4 is taken, you get 3x^2. There is a minus sign in the middle, so answer choice C and D are out. Now, there is answer choice A or B. Now we take the square root of 12 but 12 isn't a perfect square root. But, you can think of 2 numbers that when you multiply give you 12 and one of those numbers is a perfect square root. In this case, it would be 4 because 4 times 3 = 12. Square root of 4 is 2. Again, notice there is an x^2. Once the square root of 4 is taken, you are left with 2x and square root of 3. The square root of 3 isn't a perfect square root. But, you can write the expression in the following way:

2x[tex]\sqrt{3}[/tex] - 3[tex]x^{2}[/tex]

Hope this helps.

What is the range if this function ?

Answers

Answer:

-4 to 0 (both -4 and 0 are included in the range because of the dots)

The Rahul ages of and pushti are in the ratio 3 ratio 5 four years later the sum of their ages will be 48 what are their present ages​

Answers

Answer:

Rahul is 15, Pushti is 25

Step-by-step explanation:

Rahul age = r, Pushti age = p

Equations according to given info:

r / p = 3 / 5 ⇒ r = 3p/5r + 4 + p + 4 = 48 ⇒ r + p = 40 ⇒ r = 40 - p

Compare the two equations and solve for p:

3p/5 = 40 - p3p = 200 - 5p3p + 5p = 2008p = 200p = 200/8p = 25

Find the value of r:

r = 40 - 25 r = 15

PLEASE HELP IMMEDIATELY
THANN YOU!

(Image attached above)

Answers

Answer: x = 2, explanation below

area of rectangles and squares is l * h or h * l (h is height and l is length)

length of left rectangle/square is

4*(6x+6) and for the right quadrilateral, it is 4x*9

4x*9 is 36x

and we use the distributive property for 4*(6x+6)

4*6x+4*6

4*6x = 24x

4*6 = 24

24x+24

They have equal areas, so we can make an equation making their areas equal.

36x = 24x+24

Subtract 24x from both sides

12x=24

divide 12 by both sides

x = 2

Step-by-step explanation:

Help me pls im being timed!

Answers

Answer:

C

Step-by-step explanation:

A blank+63= 150 is the correct answer

Matthew invested $3,000 into two accounts. One account paid 3% interest and the other paid 8% interest. He earned 4% interest on the total investment. How much money did he put in each account?

Answers

Answer:

600 in the 8% interest and 2400 in the 3% interest.

Step-by-step explanation:

600 + 8% = 48

2400 + 3% = 72

72 + 48 =120

Helppp meee please !!!

Answers

Answer:

why has the speaker come to the earth

Answer:

the two numbers are 3x and -x.

Step-by-step explanation:

product = -3x²

sum = 2x

hope this helps you.

What is the y-intercept of a line that has a slope of -3 and passes through point (-5, 4)?
О-17
О-11
O-7
O-19

Answers

Answer:

0, -11

Step-by-step explanation:

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

y-4=-3x-15

y=-3x-15+4

y=-3x-11   the ordered to the origin is -11

the y-intercept is at the point (0, -11)

Hope this helps

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