What is the solution to the following system of equations?
y = 6x - 11
-2x - 3y = -7

A. -13/10, -94/5
B. -1/2, -14
C. (1, –5)
D. (2, 1)

Answers

Answer 1

Answer:

D.(2,1)

Step-by-step explanation:

All I did was solve by substitution.

Answer 2

Answer:

D

Step-by-step explanation:

Given the 2 equations

y = 6x - 11 → (1)

- 2x - 3y = - 7 → (2)

Substitute y = 6x - 11 into (2)

- 2x - 3(6x - 11) = - 7 ← distribute and simplify left side

- 2x - 18x + 33 = - 7

- 20x + 33 = - 7 ( subtract 33 from both sides )

- 20x = - 40 ( divide both sides by - 20 )

x = 2

Substitute x = 2 into (1) for corresponding value of y

y = 6(2) - 11 = 12 - 11 = 1

solution is (2, 1 ) → D


Related Questions

How are Asexual Reproduction and Sexual Reproduction alike?

Will Mark Brainliest and 5 stars

Answers

Answer:

They are both types of reproduction.

Step-by-step explanation:

The sand pit has a width of 2.56meters and a length of 8.75meters. Just in case it rains, the principal wants to cover the sand pit with a piece of plastic the night before the event. How many square meters of plastic will the principal need to cover the sand pit

Answers

Answer:

The answer is below

Step-by-step explanation:

The piece of plastic needed to cover the sand pit is the same as the area of the sand pit. Since the sand pit has a width of 2.56meters and a length of 8.75meters, it means that the sand pit is rectangular in shape. The area of the sand pit is given by the formula:

Area = length × width

Area = 2.56 meters × 8.75 meters

Area = 22.4 m²

The plastic needed to cover the sand pit needs to have an area of 22.4 m²

Lin has a scale model of a modern train. The model is created at a scale of 1 to 48. The height of the model train is 102 millimeters. What is the actual height of the train in meters? Round your answer to the thousandths (third) decimal place. Do not include units (meters) in your answer.

Answers

102 x 48 = 4284mm = 4.284m

Can you guys help please!! Due very soon!

Answers

the y-intercept is at (0,2) where it's touching the y-axis. That's why it's called y-intercept.

Hope thishelps!

The y intercept is (0,2) because that’s where the line intercepts the y axis

porfavor ayudenme doy coronita

Answers

Step-by-step explanation:

Hola! Yo te puedo ayudar, pero no se como explicarlo en español muy bien, perdon en avance!

1) 5×10^3+6×10^2

  (5×1000)+(6×100)

   5000+600= 5,600

2a) 3×10^3×1.5×10^8

     (3×1000)×(1.5×10000000)

      3000×150000000= 450,000,000,000

2b) 4.2×10^3×2×10^-7

     (4.2×1000)×(2×0.0000001)

      4200×0.0000002= 0.00084

3a) [tex]\frac{6*10^5}{3*10^2}[/tex]

    [tex]\frac{600,000}{300}[/tex] = 2,000

3b) [tex]\frac{8*10^{-7} }{2*10^{-9} }[/tex]

     [tex]\frac{0.0000008}{0.000000002}[/tex] = 0.0000000000000016 o 1.6×10-10

4a) (2×10^5)^3

      200000^3= 8,000,000,000,000,000 o 8e+15

4b) (3×10^-12)^2

0.000000000003^2= 0.000000000000000000000006 o 9e-24

To determine the temperature in Fahrenheit, multiply the Celsius temperature
by 1.8 then add 32. Determine the Celsius temperature if it is 89°F outside.
Round your answer to the nearest hundredth

Answers

Answer:

PSAT ONBY!

Step-by-step explanation:

Buckle these demons cannify

A label printer prints 7 labels in 3.4 seconds. How long will it take to print 56 pages of labels?

Answers

Answer:

27.20seconds

Step-by-step explanation:

hope this helped,brainliest?

A block with a mass of 10 kg is being pushed. its acceleration is 5 m/s.s . Calculate the force acting on the block ? plz answer for good luck

Answers

Answer:

The answer is 50 N

Step-by-step explanation:

The force acting on an object given it's mass and acceleration can be found by using the formula

force = mass × acceleration

From the question

mass = 10 kg

acceleration = 5 m/s²

We have

force = 10 × 5

We have the final answer as

50 N

Hope this helps you

Dylan and his friends are going into a bakery. How much would it cost to buy 1 cookie and 5 brownies if each cookie costs $0.50 and each brownie costs $2.25? How much would it cost to buy 11 cookies and 55 brownies if each cookie cost \$c$c and each brownie cost \$b?$b?

Answers

Answer:

a)$ 11.75

b) $ 129.25

Step-by-step explanation:

Dylan and his friends are going into a bakery.

Each cookie costs $0.50 and each brownie costs $2.25?

a) How much would it cost to buy 1 cookie and 5 brownies

1 × $0.50 + 5 × $2.25

= $0.50 + 11.25

= $ 11.75

b) How much would it cost to buy 11 cookies and 55 brownies

11 × $0.50 + 55 × $2.25

= $5.5 + $123.75

= $ 129.25

What’s the value of X ?

Answers

Answer:

x=25

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

(2x+2)+(5x+3)=180

Professor Burger orders flowers to be delivered to his mother. The flowers cost $59.95, not including tax. A bouquet of flowers is shown. Its price tag reads fifty-nine dollars and ninety-five cents. If there is a 6% sales tax, what is the total cost of the flowers to the nearest cent? Enter the correct answer in the box.

Answers

Answer:$60.30

Step-by-step explanation:

First, you need to find what 6% of 59.95 is. To do this, multiply 59.95 x 0.06. This gives you 3.597.
Add together 59.95 and 3.597. This gives you 63.547.
The directions say to round to the nearest cent, so round up to $63.55.

Hope this helps!

Q5.
Here are two fractions.
7/5 and 5/7

Work out which of the fractions is closer to 1
You must show all your working.​

Answers

Answer:

5/7

Step-by-step explanation:

You can convert them to fractions to answer:

7/5=1.4

5/7=0.714

7/5 is 0.4 away from 1, while 5/7 is 0.3 away.

Answer:

5/7 is closer

Step-by-step explanation:

7/5= 49/35=1 14/35

5/7= 25/35

7/5 is 14/35 away from one whereas 5/7 is 10/35 away.

Can someone translate this graph to me? It’s supposed to tell me how much dirt is in cubic yards

Answers

25 per cubic yard Bc (1,25) (2,50) so we use the formula 50-25=25 and 2-1=1 then we divide 25 by 1 which gives us 25 per cubic yard

This recipe makes 5 portions of fajitas.
Carly has 700 g of chicken, 800 g of peppers, 200 g of onion, 70 g of spice mix and 16 tortillas.
How much more of each ingredient will she need to make 15 portions by following this recipe?
Recipe: Serves 5
400 g chicken
600 g peppers
70 g onion
20 g spice mix
10 tortillas
PLS HELP ME I NEED IT BAD!!!!!!!!!!!!

Answers

Answer:

Chicken: 500g

Peppers: 1kg

Onions: 10g

Tortillas: 14

Step-by-step explanation:

hope this helps

What is an unsecured line of credit? A. A line of credit which does not require collateral. B. A line of credit with a variable interest rate. C. A line of credit offered by an institution other than a bank, such as a department store. D. A line of credit offered to an individual with no credit history.

Answers

Answer:

A

Step-by-step explanation:

Answer:

a.

A line of credit which does not require collateral.

Step-by-step explanation:

the height of one mountain is 199 yards. Another mountain is 6 times as tall.
What is the height of the second mountain?

Answers

Answer:

1194

Step-by-step explanation:

because 199 is the height of the first mountain so just times that number by 6 to get the second mountains height.

x 2 +2x−8=
The answer is (x-2) (x+4)

Answers

Answer:

x3 - 2x2 - 4x - 10

 

         x      

Step-by-step explanation:

i think

can someone answer this and explain? and the one below, will mark brainlest

Answers

Step-by-step explanation:

there were 50 boxes of gum

each box had 36 packs of gum

in each pack were 15 pieces of gum

so total pieces of gum:

for one box of gum total pieces= 15*36= 540 pieces

for 50 boxes= 540*50= 27000 pieces of gum in total

number sentence:

15*36=540

540*50= 27000

bonus question:

27 gums in 1 day

27000 gums in x days

27000/27= 1000 days

Answer:

540 pieces x 50

27000/27=1000 days

b. How many eggs would you need to make 18 dozen cookies?

Answers

I would say 24 or 25 I think don’t hold me on that

I NEED HRLP PLEASE!

HOMECOMING CONCERT: Kaiwan sold 40 tickets for Young Baby Durk NBA for the Howard Homecoming concert. He sold general admission tickets for twenty dollars each and VIP tickets for thirty dollars each. He collected eight hundred and eighty dollars. How many of each kind of ticket did Kaiwan sell? Write a system of equation using g for general admission and v for VIP tickets. Provide evidence of how your got your answer to prove that your answer is correct by writing your final answer in a complete sentence.

Answers

Answer:

he sold 32 general admission tickets

and 8 vip tickets

If ΔABC is reflected across the y-axis, what are the resulting coordinates for points A', B', and C'
sketch the reflection on the cordinate plan

Answers

Answer:

Step-by-step explanation:

Reflection across the y axis changes the x value.

Reflection across the x axis changes the y value.

This is counterintuitive, but it is correct.

A'

(-1,6)

B'

(-2,1)

C'

(-5,2)

Do you see what happened. All the values for x become - values because you are moving an equal distance in the -x direction

2x2 + 2 + 5x = -4 - x

Answers

Answer:

2.75 that are answer

Step-by-step explanation:

that are answer

find the value of the height of the tree.

Answers

Answer:

20 ft

Step-by-step explanation:

First we must find out what the scale factor is.

26 / 6.5 = 4

the scale factor is 4.

Now we must multiply 5 by 4 to find x.

5 * 4 = x

20 = x

x = 20

The height of the tree is 20 ft.

A bag weighing 80 N rests on a horizontal surface. The coefficient of static friction between the bag and the surface is 0.4, and the coefficient of kinetic friction is 0.2. What minimum horizontal force must be applied to keep the bag moving at constant velocity once it has started to move?

Answers

Answer:

The minimum horizontal force that must be applied to keep the bag moving  at constant velocity once it has started to move is 16 newtons.

Step-by-step explanation:

According to the First and Second Newton's Laws, an object has net force of zero when it is at rest or moves at constant velocity. Given that bag rests on a horizontal surface, the equation of equilibrium is:

[tex]\Sigma F = P - f = 0[/tex] (Eq. 1)

Where:

[tex]P[/tex] - Horizontal force exerted on the bag, measured in newtons.

[tex]f[/tex] - Kinetic friction force, mesured in newtons.

From (Eq. 1), we get that horizontal force is:

[tex]P = f[/tex]

On the case of a horizontal surface, normal force exerted from ground on the bag and kinetic friction force is:

[tex]f = \mu_{k}\cdot W[/tex] (Eq. 2)

Where:

[tex]\mu_{k}[/tex] - Kinetic coefficient of friction, dimensionless.

[tex]W[/tex] - Weight of the bag, measured in newtons.

Then we eliminate kinetic friction force by equalizing (Eqs. 1, 2):

[tex]P = \mu_{k}\cdot W[/tex]

If we know that [tex]\mu_{k} = 0.2[/tex] and [tex]W = 80\,N[/tex], then the horizontal force that must be applied to is:

[tex]P =0.2\cdot (80\,N)[/tex]

[tex]P = 16\,N[/tex]

The minimum horizontal force that must be applied to keep the bag moving  at constant velocity once it has started to move is 16 newtons.

Which property was used to simplify the expression?

mc005-1
distributive property
commutative property
associative property
inverse property

Answers

Answer: C is your asnwer

Step-by-step explanation:

Answer:

it is c

Step-by-step explanation:

The system of linear equations -2x+y=8 and -3x-y=7

Answers

Answer: x=-3, y=2

Step-by-step explanation: -2x+y=8 + -3x-y=7 and you get x=-3 then you put that in to x and pick one of the beginning equations i chose to put -3 in to -2(-3)+y=8 and got 6+y=8 then you subtract the 6 on both sides and should get y=2

Answer:

(-3,2)

Step-by-step explanation:

You can solve it by various methods. These two equations can be solved simultaneously or by matrix method, or even by graphing

Simultaneous is easier so lets get started.

1st equation  : [tex]-2x+y=8[/tex]

2nd equation: [tex]-3x-y=7[/tex]

We solve it by using the substitution method which means there are two variables x and y and we substitute one variable in form of another variable.

Like, take the 1st equation

[tex]-2x+y=8\\y=8+2x[/tex]

the equation is arranged in a different manner but its the same thing.

This new equation becomes our new third equation and now we simply put our third equation in our 2nd equation. Like this, take the 2nd equation and substitute it with our 3rd third equation

[tex]-3x-y=7\\-3x-7=y\\-3x-7=8+2x\\-3x-2x=8+7\\-5x=15\\x=-3[/tex]

we get x=-3 and then we put the value of x and in our third equation to get the value of y or we can simply put it in any equation 1st , 2nd , 3rd it will give the same answer. I chose third.

[tex]y=8+2x\\y=8+2(-3)\\y=8-6\\y=2[/tex]

The solution set of our system of linear equations is

(-3,2)

(28÷4)+3+(10-8)x 5 please try to help asap

Answers

Answer:

20

Step-by-step explanation:

(28/4)+3+(10-8)x5
7 + 3 + 2 x 5
7 + 3 + 10
= 20

or if that x is a variable then —
(28/4)+3+(10-8)x5
= 7+3+2x+5
= 10 + 10x

You deposit $900 in a savings account that earns a simple interest rate of 4.5% per year. You calculate you will earn $1215 in interest over 3 years. Is your answer reasonable?

A. Yes; the interest will be much less than the total in the account

B. No; the interest will be much less than the total in the account.

C. No; the interest will be more than the total in the account.

D. Yes; the interest will be more than the total in the account.

Answers

Answer:

a..

Step-by-step explanation:

yes the interest  will be much less than total than the account

The answer is not reasonable because the interest will be much less than the total in the account.

In order to determine if the answer is reasonable, we have to determine the simple interest that would be earned and the total amount in the account.

Simple interest = amount deposited x time x interest rate

$900 x 0.045 x 3 = $121.50

The total amount in the account in three years = amount deposited + interest earned

$900 + $121.50 = $1021.50.

To learn more about simple interest, please check: brainly.com/question/9352088?referrer=searchResults

Jacques, an artisan cheese maker, collects data on every step of the cheese-making process for each batch he makes. Jacques noticed that the daily high temperature in his shop on the day he made a batch of cheese was related to the pH of the cheese the next morning. He computed the correlation between the daily high temperature and the pH of the cheese to be −0.64 . What information does the correlation provide about the relationship between the daily high temperature and the pH of the cheese?

Answers

Answer:

The information is  

  The daily temperature of the shop increases while the  pH of the cheese decreases

Step-by-step explanation:

From the question we are told that

  The  correlation between the daily high temperature and the pH of the cheese to be −0.64

Generally the  information this negative correlation provides a about the relationship between the daily high temperature and the pH of the cheese is that as the daily temperature of the shop increases that pH of the cheese decreases

is this a function? im lost and don't understand math

Answers

Answer:

No

Step-by-step explanation:

To be a function, there can only be 1 output for each input.

3/4 has two outputs (3 and 5), so this is not a function.

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