y=1/2x+4
y=-2x+9
elmantion or substutuion method

Answers

Answer 1

Answer:

(2;5)

Step-by-step explanation:

Elimination:

Let's first multiply the first by 2 to clear fractions and write them both in standard form:

[tex]\left\{ {x-2y=-8} \atop {2x+y=9}} \right. \\[/tex]

Eliminate x: Multiply the first by 2, then subtract the equations:

[tex]2I-II: 2x-4y-2x-y=-16-9\\-5y=-25 \rightarrow y= 5[/tex]

Eliminate y: Multiply the second by 2, then add equations:

[tex]I+2II: x-2y +4x+2y = -8+18\\5x=10 \rightarrow x=2[/tex]

Subtsitution

Solve the first for y (oh, what a coincidence, it's done already!) and replace the value in the second.

[tex]\frac12x +4 = -2x+9 \rightarrow \ x+8=-4x+18\\x+4x = 18-8 \rightarrow 5x=10 \rightarrow x=2[/tex]

Then let's plug this value into a convenient one - let's say, the first - and find y from there:

[tex]y=\frac12\cdot 2 +4\rightarrow y =1+4 \rightarrow y=5[/tex]

If anyone tries saying it's not substitution, bring the system in standard form, as you did for the elimination method, then solve again for y.


Related Questions

Find the perimeter. Simplify your answer.

Answers

Answer:

22w - 18  

Step-by-step explanation:

To find the perimeter we have to add up all the sides

10w-10+w+1+10w-10+w+1

combine light terms

22w - 18 would be our answer

Brainliest please

Solve for Y please help me

Answers

Answer:

y = j - rx/c

Step-by-step explanation:

How many solutions does |3x + 1| = -5 have?
need to know answer asp

Answers

Answer:

0

Step-by-step explanation:

Absolute values can't have negatives as answer. Useful tip, If there is a negative as an answer for absolute value, there is no solution, if it has 0 as an answer, there is 1 solution, and if it has a positive as answer, then it will have 2 solutions.

10 open cylindrical containers are to be painted on the outside, including the base. Each container has a radius of 30 cm and a height of 28 cm.
Given that 150g of paint is needed to paint an area of 1m3, find the amount of paint required to paint the ten cylinders. Give your answer in kg.
please help quick.

Answers

The total surface area of an open cylinder can be used to determine the surface area required. This answer can now be used to determine the kilograms of paint needed which is 1.245 Kg.

The formula to determine the total surface area of an open cylinder is given as:

2[tex]\pi r^{2}[/tex] + [tex]\pi r[/tex]h =

where: r is the radius, and h is the height of the cylinder.

The radius of the cylinder is 30 cm (0.3 m), and its height is 28 cm (0.28 m). Then the total surface area can be calculated as follows:

Total surface area of one cylinder = [tex]\frac{22}{7}[/tex] x 0.3*(2*0.3 + 0.28)

                               = 0.8297

The total surface area of one of the cylinders is 0.83 [tex]m^{2}[/tex].

Total surface area of the ten cylinders = 10 x 0.83

                                                   = 8.3 [tex]m^{2}[/tex]

Given that 150 g of paint would be required to paint an area of 1 [tex]m^{2}[/tex], the amount of paint (x) required for the ten cylinders would be:

x = 8.3 x 150 g

  = 1245 g

x = [tex]\frac{1245}{1000}[/tex]

  = 1.245 Kg

Therefore, the amount of paint required for the ten cylinders is 1.245 Kg.

Visit: https://brainly.com/question/16425247

Simplify this thing (4h^2/3)^3

Answers

Answer:

64h^2.

Step-by-step explanation:

4 ^3 = 64

h(2/3)^3 = h ^(3*2/3) = h^2.

4h*2/3 x 4h*2/3 meaning total answer is 8h*6/9

PLEASE ANSWER NOWWWWW
340816.326531

Answers

Answer:

nearest whole number would be 340816

Answer:

340,816

Hope this helps :)

Use the information given in the figure to find the length SU.
If applicable, round your answer to the nearest whole number.
The lengths on the figure are not drawn accurately.

Answers

Answer:

We'll calculate ru:

RU^2 = 65^2 - 52^2

RU^2 = 1,521

RU = 39

SU^2 = 89^2 -39^2

SU^2 = 7,921 - 1,521

SU^2 = 6,400

SU = 80

Step-by-step explanation:

Suppose that the functions r and s are defined for all real numbers x as follows.
r(x)=x+3
s(x) = 2x
Write the expressions for (r-s) (x) and (-s) (x) and evaluate (r+s) (-1).

Answers

Step-by-step explanation:

as explained in the other question : when applying an arithmetic operation on functions, you are applying it on the functional expressions.

(r*s)(x) = (x+3)*(2x²) = 2x³ + 6x²

(r-s)(x) = (x+3) - (2x²) = -2x² + x + 3

(r+s)(-1) = (-1 + 3) + (2×(-1)²) = 2 + 2×1 = 4

For this question, I'd want some assistance. Thank you very much. Have a wonderful day!

Answers

Answer:

can u take pic again?

Step-by-step explanation:

Solve the inequality:
1 ≤ a/4 - 1

Answers

Answer:

a is greater or equal to 4

Step-by-step explanation:

Help help help help

Answers

Answer: main

Step-by-step explanation:

Answer:

yeah it's main it cuts up through oak and elm

Can someone explain the concept of conversion tables to me? I don't understand how to use them, (mainly because of the amount of numbers involved) and I need some help.

Answers

Answer:

Conversion tables are very important. I can help you if you let me know what unit of conversion (meters, grams, gallons, etc)

Step-by-step explanation:

sin6x-cos6x=[tex]\sqrt{2}[/tex]

Answers

Condense the right side a single sine expression:

sin(6x) - cos(6x) = R sin(6x - t)

Expanding the right side gives

sin(6x) - cos(6x) = R sin(6x) cos(t) - R cos(6x) sin(t)

Then we have

R cos(t) = 1

R sin(t) = 1

Solve for R and t:

(R cos(t))² + (R sin(t))² = 1² + 1²

R² = 2

R = √2

and

(R sin(t))/(R cos(t)) = 1/1

tan(t) = 1

t = arctan(1) = π/4

So we rewrite the equation as

√2 sin(6x - π/4) = √2

Solve for x :

sin(6x - π/4) = 1

6x - π/4 = arcsin(1) + 2nπ

(where n is any integer)

6x - π/4 = π/2 + 2nπ

6x = 3π/4 + 2nπ

x = π/8 + nπ/3

Conor earns $9 an hour for yard work. He raked leaves one afternoon and earned $29.25.
How much does Conor earn for each minute he does yard work?
Hint: There are 60 minutes in 1 hour.

Answers

29.25 divided by 9 is 3.25. You have to take the total amount of money he made $29.25 and divide it by the amount he gets every hour $9. So 29.25 divided by 9 is 3.25 or 3 hours and 15 minutes.

Answer:

15 cents a minute

Step-by-step explanation:

9 ÷ 60 = $0.15

solve pls brainliest

Answers

Answer:

1)YES:This is a decimal neither terminates nor repeats

2)YES:Repeating decimal

3)NO: Terminating decimal

4)YES: this is a decimal neither terminates nor repeats.

Step-by-step explanation:

Hope it can help you lovelots

how many years in two scores?brainliest best answer.

Answers

Answer:

40 years

Step-by-step explanation:

I think 1 score is 20 years

so 2 scores = 2 x 20 = 40 years

I may be wrong so someone check

-Chetan K

Mrs. Patel needs
7/8
yards of fabric to make one shirt. Mrs. Patel bought 10 1/2 image yards of fabric. How many shirts can she make?

Answers

Answer:

12 shirts

Step-by-step explanation:

I used the method keep, change, flip (KCF) to divide fractions and solve this problem.

This means Keep the first fraction, Change the division sign to a multiplication sign, and Flip the second fraction.

so keep 10 1/2, or 21/2, change sign, and flip the second fraction to 8/7.

that gives us the equation 21/2x8/7, and solving that gives us 168/14, or 168 divided by 14, so 12 shirts


Can anyone help me with this?

Answers

Answer:

A & C are correct.

Step-by-step explanation:

Yes, I can help!

Absolute value makes any number positive.

12 < 50 (yes)

12 < 50 (yes)

12 > 50 (no)

12 > 50 (no)

You are welcome!

Kayden Kohl

8th Grade Student

si el largo de un rectangulo es 2 cm más que el ancho y tiene un perimetro de 52 cm cual es el largo y cual es el ancho?

Answers

Answer:

ancho: 12 cm

Largo: 14 cm

Step-by-step explanation:

[tex]P=2a+2l[/tex]

[tex]l=a+2[/tex]

[tex]P=2a+2(a+2)=2a+2a+4[/tex]

[tex]P=4a+4[/tex]

[tex]52=4a+4[/tex]

[tex]52-4=4a[/tex]

[tex]48=4a[/tex]

[tex]48/4=a[/tex]

[tex]12=a[/tex]

largo = ancho + 2 = 12 +12 = 14 cm

Hope this helps

plz help will mark as brainliest​

Answers

Step-by-step explanation:

18 cm is the correct answer

Please help meee please explain it

Answers

Answer:

C. .45

Step-by-step explanation:

Think of it like this: that is 45 hundredths and you are trying to find what 45% is and it is like 45/100 so .45 is your answer.

answer c=0.45

0.45 is equal to 45%.

Can someone help me with this​

Answers

Answer:

1. so the express of the shaded region would be

10x*6 which gives 60x the area of the whole thing subtract 2x*4 =8x

so 60x-8x

2.

the perimeter is 6*2 bc two sides so 12

and 10x *2 bc two sides 20

so 20x+12 would be the perimeter

Ilana ran 2 laps around the field in 8 minutes. What was her average speed, in laps per minute?
O 10 of a lap per minute
1
O of a lap per minute
O 4 laps per minute
10 laps per minute
How many laps?

Answers

Answer: She ran 0.25 laps a minute

Step-by-step explanation:

Every minute she runs 0.25 a minute which means that every 4 minutes she runs 1 lap which means if she run for 8 minutes she gets 2 laps

Answer:

?

Step-by-step explanation:

what does the O mean

solve pls brainliest

Answers

Answer:

mixed no. 51/10

Improper fraction 5/1/10

find the final amount when 10500 is invested at 9% simple interest for 4 years

Answers

Answer:

3780

Step-by-step explanation:

10500 x 9% x 4 divided by 100=3780

1. Carlee surveyed customers as they left a convenience store. She asked them, “How many items did you purchase?” The results are shown in the line plot.

(a) How many customers were surveyed?
(b) What was the greatest number of items purchased by a customer?
(c) How many customers purchased 9 items?
(d) How many customers purchased at least 5 items?
(e) What was the median number of items purchased?

Answers

Answer:

a. 15

b. 11

c. 2

d. 7

e. 3

Step-by-step explanation:

a. count the dots, that will be total customers surveyed  = 15

b. one customer purchased 11 items - 11

c. count how many dots under 9 - 2

d. at least 5, meaning ppl buying 5 or more items, count dots greater than 5

  - 7

e. Median means middle number, arrange in order

0,1,2,2,3,3,3,3,5,5,7,7,9,9,11, so middle number is : 3

Answer:

a. 15

b. 11

c. 2

d. 7

e. 3

hope this helps :)

Construct a new equation by adding 5x + 5y = 35 to 3.x - 2y = 1

Answers

5x + 5y + 3x - 2y = 36
8x + 3y = 36

Why do you skip count by 2s on the number line

Answers

find your answer faster

Answer: It all depends on what type of number line you're doing.

Step-by-step explanation:

-
6 less than the product of a number and 3 is -18.. What is the
number?

Answers

Answer:X= -4

Step-by-step explanation:

6 less than the product of a number and 3 is -18.

Make each part of the sentence into numbers:

"the product of a number and 3":  becomes X*(3), where X is the "number."

"6 less than":  is -6, so we have:

X*(3) - 6

"is -18"  means = -18

Put the segments into one equation and solve:

X*(3) - 6 = -18

3X-6=-18

3X = -12

X = -4

====

See if this works:  If X=-4, then the product of it and 3 is -12.  Six less than -12 is -18.  And that is correct.  X= -4

What is the equation of the given line in standard form? Use integer coefficients.
y=-1.7x + 8.5

A.)17x + 10y = 85
B.)-17x + 10y = 85
C.)-17x + 10y = -85
D.)17x+10y = -85

Answers

Answer:

A

Step-by-step explanation:

y = - 1.7x + 8.5 ( add 1.7x to both sides )

1.7x + y = 8.5 ( multiply through by 10 )

17x + 10y = 85 → A

Other Questions
No links. Michelle has $1200 in her savings account if the bank pays 3% interest per year on savings how much interest does she earn in one year Which answer choice shows the number 5.16103 in standard form?A)0.00516B)0.000516C)5160D)51600 What is the value of y?09O 18O 3 I need help I dont understand this Compare the average motion of the particles in the 3 containers of water which of the following shows the correct order of steps needed to simplify 5+2(3-1) Alyssa fed her dog 2/3 cup of dog food in the morning and another 5/8 cup in the evening. How much did her dog eat over the course of the day? Write your answer as a mixed number Zach changes $575 into euros. He spends 45% of the euros in France. He changes the euros he does not use into pounds ()to spend in England. Workout how many pounds he receives.$1 = 0.88 euros1 pound = 1.15 euros Choose from one of the following prompts: (you may come up with your own if you chooseHuman beings are social creatures, so friends are an important part of anyones life. Describe the qualities and behaviors that make a person a good friend? Write an essay explaining three or four traits of a true friend. Use specific details and anecdotes from your own experiences.Certain things we go through shape who we are today. Describe your favorite memory of a happy event in your life. How did this help shape the person that you are today?Thinking about the future can be exciting and resourceful in helping us plan the path ahead. In your essay, describe what your life will look like in 5-7 years. You may include things like where you live, what career you have, what types of things you do in your spare time, and even how you ended up there.Things to keep in mind when drafting your essay:Your Essay needs to be completed in MLA format (MLA Guide)Your Essay should be at least 3 WELL-Written paragraphs longYou will be submitting a Rough Draft AND Final Draftplz help thx Solve the linear systems using multiplication 6x - 12y = 15;2x - 4y = 6 - What will a wave look like with high amplitude and long wavelength? A. Tall and narrow B. Short and narrow C. Tall and wide D. Short and wide find the measure of each angle indicated150 X + 124 Write a different title for the story, "The Duel." In a short essay, explain why your title is more appropriate. Read the sentence.When they had been choosing to go to the dude ranch, they did not know how far a drive it was from the airport.Which choice best corrects the tense shift by modifying the bolded verb phrase?A) are choosingB) chosenC) choseD) have chosen What is the answer to :2x (4+3) -5 x [4-(9-7)]?? write therequest on each sotuation use appropriate modals What stage of the writing process is the right one for fixing sentence fragments?A.writing the first draftB.prewritingC.reviewing your teacher's commentsD.revising or editing Find the missing number in the following series: __ 85 81 83 79 81 77 10Find the area of the shape.Either enter on exact answer in terms of it or use 3.14 for it and enter your answer as a decimal.unitsShow Calculator As a bonus question on a test, Mr. Smith wrote 8z + (5y6w). He told his students the values of each variable: w=6, y=2, and z = 7. What is the simplification of Mr. Smith's expression?