6x + y = -1
-6x - 4y = 4
solve for x and solve for y

Answers

Answer 1

9514 1404 393

Answer:

  (x, y) = (0, -1)

Step-by-step explanation:

The coefficients of x are opposites, so we can eliminate x by adding the two equations.

  (6x +y) +(-6x -4y) = (-1) +(4)

  -3y = 3 . . . . simplify

  y = -1 . . . . . . divide by -3

Now, we need to find x.

  6x -1 = -1 . . . substitute for y in the first equation

  6x = 0 . . . . . add 1

  x = 0 . . . . . . divide by 6

The solution is (x, y) = (0, -1).


Related Questions

An orchard has 986 orange trees. The number of rows exceeds the number of trees per row by 5 . How many trees are there in each row?

Answers

Answer:

918.60

Step-by-step explanation:

dont mind my handwriting

The unemployment rate decreased by 1/10%
in one month. Write 1/10% as a fraction and
as a decimal.

Answers

Answer:

1

-

10

0.1

Step-by-step explanation:

Answer:

Step-by-step explanation:

36 - 4

Step-by-step explanation:

(6x - 2)(6x + 2)

= (6x)(6x) + (6x)(-2) + (2)(6x) + (-2)(2)

= 36 - 12x + 12x - 4

= 36 - 4

what is the surface area of the right cylinder below. radius 3 height 7​

Answers

Answer:

160 sq. uits

Step-by-step explanation:

160 sq. uits é a resposta

Identify the solid from the net below *​

Answers

The solid from the net is a cube

Answer: Cube

A cube has 6 faces, which makes this net accurate.

HELP PLEASEEEEEEEEEE

Answers

the answer is A 7x-2!!

Can someone help me simplify and write in power form and show me step by step how to do it?

Answers

Answer:

8^2

Step-by-step explanation:

here's your solution

=> (8^7*8^4)8^9

=> in multiplication if base are same power added and in division if base same power minus

=> (8^11)/8^9

=> 8^2

hope it helps

Sorry guys new one thank you math people your the best you guys save my life :)

Answers

Answer:

2.0 is the correct answer

Step-by-step explanation:

hope it helps you

Please help this is including substitution and system of equations.

Answers

Answer: I gotcha

Step-by-step explanation:

B, C, C, D, B

I just helped my brother with this

what is the domain of y=log5x?
A. all real numbers less than 0
B. all real numbers greater than 0
C. all real numbers not equal to 0
D. all real numbers
I'm sorry to rush but I need the answer kinda quickly​

Answers

there are no real values for log of 0 or negatives.

So the answer is B

Gator Brews manufactures three types of brews: A, B, and C. These brews are produced via twa production processes: 1 and 2. Running process 1 for an hour costs $400 and yields three hundred gallons of brew A, one hundred gallons of brew B, and one hundred gallons of brew C. Running process 2 for an hour costs $100 and yields one hundred gallons of brew A, one hundred gallons of brew B. To meet customer demands, at least 1000 gallons of brew A, 500 gallons of brew B, and 300 gallons of brew C must be produced daily. Gator Brews wants to minimize the cost of running both processes. Set up and answer this question in worksheet "Part 6" using the simplex method in solver. (15 points) X1-hrs of process 1 X2 - hrs of process 2 MIN Z = 400x1 +100X2 s.t. Gallons of A 300 x1 + 100 x2 1000 Gallons of B 100 x1 + 100 x2 2500 Gallons of C 100 x1 + 0x2 2 300

Answers

Answer:

z(min)  = 1400

x = 3

y = 2

Step-by-step explanation:

Formulation:

Let´s call

x number of running hours of process 1

y number of running hours of process 2

Then Objective Function to minimize is:

z  =  400*x  + 100*y

Constrains:

Subject to

Demand constraint ( by type of brews)

300*x  + 100y ≥ 1000

100*x + 100*y ≥ 500

100*x ≥ 300

General constraint

y≥0     Note that we already have  x≥= (in the third constraint)

By using the on-line slver we find:

z (min) = 1400 $

x = 3

y = 2

the diameter of your bycicle wheel is 25 inches how far will you move in 2 turns of your wheel use 3.14 for pi

Answers

Answer:

157 in

Step-by-step explanation:

2x3.14x25 = 157 in  

If you are trying to build credit by using a credit card, each time you make a purchase with the credit card, deduct that amount from your checking account. That way, when your credit card bill is due, you will have enough to pay the credit card off in full. Kathy Lehner is going to start doing this. She plans on paying her credit card bill in full this month. How much does she owe with a 6% APR and the following transactions? (Round your answer to the nearest cent.)

31-day billing cycle
10/1 Previous balance $ 1,164
10/3 Credit $ 79 cr.
10/12 Charge: King Soopers $ 148
10/15 Payment $ 310 cr.
10/25 Charge: Delta $ 321
10/30 Charge: Holiday Fun $ 61

What would be the amount owed?

Answers

Answer:

12593

Step-by-step explanation:

tell me if this hepls

Ur should be noted that Kathy Lehner owes approximately $1,311.97.

How to calculate the amount

Previous balance (10/1): $1,164

Credit (10/3): $79 credit. This reduces the balance, so the new balance is $1,164 - $79 = $1,085.

Charge: King Soopers (10/12): $148 charge. This increases the balance, so the new balance is $1,085 + $148 = $1,233.

Payment (10/15): $310 credit. This reduces the balance, so the new balance is $1,233 - $310 = $923.

Charge: Delta (10/25): $321 charge. This increases the balance, so the new balance is $923 + $321 = $1,244.

Charge: Holiday Fun (10/30): $61 charge. This increases the balance, so the new balance is $1,244 + $61 = $1,305.

Interest calculation: $1,305 * (6% * (31/365)) = $6.9698 (rounded to the nearest cent, which is $6.97).

Finally, to determine the total amount owed, we add the balance and the interest:

Total amount owed: $1,305 + $6.97 = $1,311.97

Therefore, Kathy Lehner owes approximately $1,311.97.

Learn more about amount

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Suppose price changes of a particular commodity are independent and identically distributed random variables with µ = 1.1 and variance σ2 = 0.16. You collect a sample of 36 such price changes. Use the Central Limit Theorem to compute the probability that the average price change of this sample is less than 1.0.

Answers

Answer:

0.0668 = 6.68% probability that the average price change of this sample is less than 1.0.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean µ = 1.1 and variance σ2 = 0.16. You collect a sample of 36 such price changes.

So the standard deviation is:

[tex]\sigma = \sqrt{\sigma^2} = \sqrt{0.16} = 0.4[/tex]

Sample of 36:

This means that [tex]s = \frac{0.4}{\sqrt{36}} = 0.0667[/tex]

Probability that the average price change of this sample is less than 1.0.

This is the pvalue of Z when X = 1. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{1 - 1.1}{0.0667}[/tex]

[tex]Z = -1.5[/tex]

[tex]Z = -1.5[/tex] has a pvalue of 0.0668

0.0668 = 6.68% probability that the average price change of this sample is less than 1.0.

9x + 3 + 8x
Please help

Answers

combine like terms so add 9x+8x=17x so 17x+3

The length of a rectangle is twice its width. The perimeter is eighty-four inches. Find the length and width. The length is inches. The width is inches.​

Answers

Width : x
Length : 2x

2x + 2x + x + x = 84
6x = 84
x = 14

Width = 14
Length = 28

Select TRUE or FALSE to indicate if the expression has been simplified correctly.





True

False

Answers

Answer:

false i think

Step-by-step explanation: forget the exponents 2/6 simplified is 1/3 and the base is 4 not 3 sorry if i am wrong

Pls help if u cannnnnnnnnnnnnnnnn

Answers

Answer:

4.189 cubic inches

Answer:

4.19 in³

Step-by-step explanation:

The formula of volume of sphere

[tex] = \frac{4}{3} \pi {r}^{3} [/tex]

The volume of the sphere

[tex] = \frac{4}{3} \times 3.14 \times {1}^{3} [/tex]

[tex] = \frac{12.56}{3} [/tex]

[tex] = 4.186666667...[/tex]

= 4.19 in³ (rounded to the nearest hundredth)

NO FILES!!
Find the following amount.
What is 75% of 4?
75% of 4 is

Answers

Answer:

75% of 4 is 3

Step-by-step explanation:

Hope this helps you :)

Answer:

75% of 4 is 3.

Step-by-step explanation:

75% [tex]=\frac{75}{100}[/tex]

[tex]\frac{75}{100} *4=\frac{300}{100}[/tex]

[tex]\frac{300}{100}=3[/tex]

Hope this helps; have a great day!

What is the surface area of the right cone below?
A. 63r units2
B. 545 units2
C. 1267 units2
D. 997 units2

Answers

B should be the answer sorry if I’m wrong

A square has an Area of 49 square feet. What is the measure of a side length? * ​

Answers

Answer: 7 feet

hope this helps, have an amazing day <3

Please help me with this problem. Do not send me a link to some random website. I do not trust the link given that requires me to download it nor does Brainly allow links to websites other than itself to be on its community or whatever.

Answers

Answer: [tex]\left[\begin{array}{ccc}|x|0|1|2|3|4|5|6|\\|P(x)|0|4|8|12|16|20|24|\end{array}\right][/tex]

b. P(x)= 4x

c. The graph would go in a straight line touching each point given.

Step-by-step explanation: To find the perimeter of a square you can use the equation 4(x). If you multiply each x value by 4 you'll get the P(x) values.

What is the probability of drawing a 9 or a diamond from a standard deck of cards?

Answers

Answer:

7.6923% for Drawing a 9, 25% Drawing a Diamond

Step-by-step explanation:

There are 4 9s in a deck of cards, and 4/52 as a percentage is 7.6923%. There are 13 Diamonds in a deck of cards, and 13/52 as a percentage is 25%.

What is 23x4x67+213 divided by 9 -154 x7

Answers

Answer: -6377/1069 (write as fraction)

Step-by-step explanation: 6377/-1069

If you would like for me to simply it let me know!

Find the perimeter. Round to the nearest whole number.
15 is c and 30 is a)

Answers

Answer:

45

Step-by-step explanation:

Hope this helps.

A car is running with the velocity of 72km/h . what will be its velocity after 5s if its acceleration is -2m/s square ?

Answers

Answer:

92 km

Step-by-step explanation:

by calculator hope it gelps

92km because that’s what i found in my calculations

Plz help me well mark brainliest if you are correct!!

Answers

Answer:

3

Step-by-step explanation:

1 hour = 60 minutes.

1/4 of an hour = 60 minutes / 4 = 15 minutes.

15 minutes / 5 minutes segments = 3

There are 3 five-minute segments in 1/4 of an hour

Answer:

C.

Step-by-step explanation:

Answer is C. because there are a total of 60 minutes in 1 hour. We know that there is 30 minutes in half a hour. Half of 30 minutes is 15 minutes and it takes 3 five minute segments to get 15 minutes.

You can do it like this 60 * 1/4 = 60/4

60/4 = 15/1

15 = 5 * 3

the angle θ lies in quadrant ii. cos θ = -2/3 what is tan θ?

options:
√5/3
-√5/2
√5/2
-√5/3

Answers

Answer:

-√5/2

Explanation: I took the quiz.

63 is 9% of what number?

Answers

Answer:

63 is 9% of 700.

Step-by-step explanation:

To solve this problem you multiply 63 by 100 and then divide the total by 9 as follows: (63 x 100) / 9

Thus, the answer is 700.

v=U + at
u= 2
a = -5
t = 1
Work out the value of v.

Answers

Step-by-step explanation:

[tex]V = U + at \\ V = 2 + ( - 5 \times 1) \\ V = - 3[/tex]

Cone S and cone T are similar. The volume of cone S is 768 768pi cm3 cm3 and the
volume of cone T is 6144 6144pi cm3 cm3. What is the height of cone S if the height
of cone Tis 24 cm?
24 cm
cone S
cone T

Answers

Step-by-step explanation:

  This is a ratio problem

  Vol cone = 1/3 π r² h

Cone S is 768pi cm3

Cone T is 6144pi cm3

Cone S and cone T are similar I think this means they have the same radius

      Vol cone S  =  1/3 π r² hs    Vol cone T  =  1/3 π r² ht

     Vol  Cone S /  Vol Cone T    =    1/3 π r² hs / 1/3 π r² ht

    Vol  Cone S /  Vol Cone T    =     hs /  ht                                  

               768 / 6144   =  hs / 24       (note the π cancelled out

               h cone s = 768(24) / 6144

               h cone s =   3 cm

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