simultaneous equations find x and y
2x/ y + y/ x =3
3x-y=2​

Answers

Answer 1

Answer:

x = 1 and y = 1

Step-by-step explanation:

2x/y + y/x = 3

3x - y = 2

we first of all get the simple equation from the two equations and in this case we will use substitution method

3x - y = 2

then we make y the subject of the formula

y = 3x - 2

let's use y on the top equation to substitute

2x/y + y/x = 3

2x/3x - 2 + 3x - 2/x

like terms cancel

thus:

2x/1 + 1/x = 3

3x -2x = 1

x = 1

AND

AND since we have x, we still use substitution method to find y

3x - 2 = y

3 (1) - 2 = y

3 - 2 = y

y = 1


Related Questions

A) 3x - y = -4
5x - y = -8

B) 3x - y = -4
5x + y = -8

C) 3x + y = -4
5x - y = -8

D) 3x + y = -4
5x + y = -8

Answers

Answer:

D) 3x + y = -4

5x + y = -8

Step-by-step explanation:

Help me with number 4 please

Answers

Answer:

A = 6

B = 10

Step-by-step explanation:

[] Let's look at the system again:

[tex]\left \{ {{Ax+By=38} \atop {2Ax-By=16}} \right.[/tex]

[] They give us a set of x and y values, (3, 2) so we can plug them into the system.

[tex]\left \{ {{A(3)+B(2)=38} \atop {2A(3)-B(2)=16}} \right.[/tex]

[] Now, we can solve this with a graphing calculator. Let A be x and B be y for the sake of graphing.

A = x

B = y

[tex]\left \{ {{x(3)+y(2)=38} \atop {2x(3)-y(2)=16}} \right.[/tex]

-> See attached

[] We can see the lines intersect at (6, 10) so the answer is A = 6 and B = 10.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

1. D
100
2. M
1
3. C
500
4. I
10
5. V
50
6. L
5
7. X
1,000

Answers

Hi there!

I will help you with joy!

Arabic numbers - 1, 2, ..., 10,..; Roman numerals: I, II, ... X, ..

Match the Arabic numerals to Roman numerals.

I = 1

V = 5

X= 10

L = 50

C=100

D=500

M = 1,000

Hope it helps!

Enjoy your day!

Ask me if you have any questions.

~Misty~

Answer:

Could you rephrase the question

Step-by-step explanation:

Use a ratio box to solve this problem. One hundred
inches equal 254 centimeters. How many centimeters
equal 250 inches?

Answers

Answer:

vGreat job!

You earned

+5 pts

for helping

Step-by-step explanation:

Marco has 10 quarts of water and 20 cups of milk. How much liquid does he have in all?


How do u solve it?

Answers

Answer:

15.0721 quarts

Step-by-step explanation:

20 cups= 5.0721 quarts

10 quarts+5.0721=15.0721 quarts

if you need to convert the quarts just search 15.0721 quarts to whatever you need to convert it too.

hope this helps

Please help and show work if you can

Answers

Answer:

468mm^2

Step-by-step explanation:

1/2 x 8 x 27=108 triangle area

12 x 30 = 360 rectangle area

108+360=468mm^2

Question:
Solve for x
(x+3)^2

Answer Choices:
2x^2 + 3x + 2
x^2 + 6x + 9

Answers

Answer:

x^2+6x+9

Step-by-step explanation:

(x+3)^2=

(x+3)(x+3)=

x^2+3x+3x+9=

x^2+6x+9

Ten years ago the father was six times as old as his daughter. After ten years, he will be twice as old as his father . Determine their present age ..​

Answers

Let

10years ago

Daughter's age=xFather's age=6x

10years after

Daughter's age=x+20Father's age=6x+20

ATQ

[tex]\\ \tt\hookrightarrow 6x+20=2(x+20)[/tex]

[tex]\\ \tt\hookrightarrow 6x+20=2x+40[/tex]

[tex]\\ \tt\hookrightarrow 4x=20[/tex]

[tex]\\ \tt\hookrightarrow x=5[/tex]

Father's present age=6x+10=6(5)+10=30+10=40yrsDaughter's present age=x+10=5+10=15yrs
Answer :-

15 years

Solution :-

▪︎If ten years ago , the age of daughter was x years , then , ten years ago the age of her father was 6x years ▪︎

Present age of father = ( 6x + 10 ) years Present age of the daughter = ( x + 10 ) years

Ten years after ,

Father's age = ( 6x + 10 + 10 ) years => ( 6x + 20 ) years

Daughter's age = ( x + 10 + 10 ) years => ( x + 20 ) years

According to the question,

▪︎6x + 20 = 2 ( x + 20 )

6x + 20 =! 2x + 40 6x - 2x = 40 - 40 4x = 20 x = 5

Therefore , Present age of the Father = 6x + 10 = 6 × 5 + 10 = 40 years and present age of the daughter,

x + 10 = 5 + 10 = 15 years

hence , the age of his daughter is 15 years

Hope it helps ~

Find the sum of 29,the product of 2and 9 and the differences between 2and 9

Answers

Answer:

11, 18, -7

Step-by-step explanation:

Sum: 2 + 9 = 11

Product: 2 x 9 = 18

Difference: 2 - 9 = -7

6x−4=26 can anyone find it

Answers

Answer:

5

Step-by-step explanation:

6x-4=26

6x = 26+4

6x= 30

x= 5

Add four to both sides.:
6x = 26 + 4

Add 26 and 4 to get 30:
6x = 30

Divide both sides by 6:
x = ³⁰/₆

Divide 30 by 6 to get 5:

x = 5

5. Peter invests £3550 into a savings account at 3.05% per annum. How much
will he have in his bank account at the end of 5 years?

Answers

since it's per annum, we'll assume is compounded interest.

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\pounds 3550\\ r=rate\to 3.05\%\to \frac{3.05}{100}\dotfill &0.0305\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{per annum, thus once} \end{array}\dotfill &1\\ t=years\dotfill &5 \end{cases} \\\\\\ A=3550\left(1+\frac{0.0305}{1}\right)^{1\cdot 5}\implies A=3550(1.0305)^5\implies A\approx 4125.42[/tex]

A box contains 4 blue pens and 5 red pens. Gus randomly picks a pen
from the box and keeps it. Then Emma picks a pen from the box and keeps it. What if the probability both students will pick a blue pen pls hurry and will give the brainiest

Answers

Answer: 12/81 or 15%

Step-by-step explanation:

If you want an explanation you can ask

pls help me
Quincy bought 25 lollipops that were 0.25 ach and 20 cany bars that were 0.60 each how much money did quincy spend all together

Answers

Answer:

$18.25

Step-by-step explanation:

25x$0.25+20x$0.60= $18.25

$ 6.25 on lollipops
$12 on bars

So add 6.25+12 =18.25 all together

Maria bought 125 pounds of lunch meat for $3.36. How much would234 pounds of lunch meat cost?​

Answers

Answer:

$6.6

Step-by-step explanation:

This is what we know:

You can say that they are proportional because there is a unit price for each pound.

There are a couple of ways to do this but I'll show you this one:

Ratio and proportion:

Step-by-step explanation:

https://brainly.com/question/2438420

answer is x= 6.6

5/2=d-2/4 i need help with this please answer quickly

Answers

Because when you cancel out -1/2 you add 1/2 from 5 over 2 you get six over two equals D or as equals six over 2 and that equals three

Hᴇʟʟᴏ Bʀᴀɪɴʟɪᴀɴs !!

1) A car moves with a speed of 40 km/h for 15 mins and then with a speed of 60 km/h for next 15 mins . The total distance covered by the car is : _________

(a) 100km. (b) 25km
(c) 15km. (d) 10km

• Don't spam
• Need Genuine Answer with Explanation .​

Answers

Answer:

25 km

Explanation:

                                  Distance = speed * time

We have change time which are given in minutes to hour. As the speed is mentioned in kilometre per hour.

For part A:

[tex]\rightarrow Distance = speed * time[/tex]

[tex]\hookrightarrow Distance = 40 * \frac{15}{60}[/tex]

[tex]\hookrightarrow Distance = 10[/tex] km

For part B:

[tex]\rightarrow Distance = speed * time[/tex]

[tex]\hookrightarrow Distance =60 * \frac{15}{60}[/tex]

[tex]\hookrightarrow Distance = 15[/tex] km

Total distance covered:

part A + part B

10 km + 15 km

25 km

Answer :-

25 km

Solution :-

Speed of the car in first 15 mins ,

The car is moving in the speed of 40 km/h for 15 mins.

Distance covered = speed × Time taken Distance covered = 240 × 15/60 = 10 km

Speed of car in next 15 mins ,

again ,

distance covered = 60 × 15/60 = 15km

now , total distance covered = ( 10 + 15 ) km = 25 km

Hope it helps~

if y = 1x + 0 then what i the slope?

Answers

1 is the slip because y=mx+c and m is the slope

somebody please help

Answers

the correct answer should be 325

Brad bought a total of 9 CD's and tapes. The CD's cost $7 each and the tapes cost $6 each. He paid a total of $58. How many of each did he buy?


I ONLY NEED THE EQUATION...I can get the numbers of cans and peas I just need the equations to find the numbers

This is Algebra....please help me!!​​

Answers

Answer:

Step-by-step explanation:

Let the number of CD's = c

Let the number of tapes = t

Total  number of CD's and tapes = 9

c + t = 9   --------------- (i)

Cost of 'c' CD's = 7*c = 7c

Cost of 't' tapes = 6*t = 6t

Total cost = $ 68

7c + 6t = 58 -----------------(ii)

Multiply the first equation by (-6) and then add the equations.

(i)* (-6)       -6c - 6t = - 54

(ii)               7c + 6t =  58    {Now add. here t will be cancelled}

                   c         = 4

Number of CD's  = 4

Plugin c = 4 in equation (i)

4 + t = 9

     t = 9 - 4

     t = 5

Number of tapes = 5

Solve for b.


a = 9 b² c




b=±a√3c

​b=±ac√9​

b=±ac√3c

b=±3ac−−√

Answers

b=+ac sqrt 3c
(3rd option!!)

b=+ac sqrt 3c

it's b=+ac sqrt 3c

please help me please

Answers

Answer:

first was the tan4cot

second was (-g,f)

A = 6 - 35 B = 3x + 53
Solve for x then find the measure of A.

Answers

Answer:

A = 73°

Step-by-step explanation:

A + B = 180 because of alternating interior angles

Substitute each angle

6x - 35 + 3x + 53 = 180

9x + 18 = 180

9x = 162

x = 18

Substitute A

A = 6x - 35

A = 108 - 35

A = 73

Hope this helps

Have a great day!

Algebra 1
> J.8 Find the number of solutions KBP
How many solutions does this equation have?
3m + 1 = 3m - 4
no solution
one solution
infinitely many solutions

Answers

no solution

3m - 3m = -4 -1
the “m” cancels itself out so there is no remaining “m” to work out so there is no solution

Challenge A cell phone plan costs $19.80 per month for 400 minutes of talk time. It costs an additional $0.06 per minute for each minute over 400 minutes. To get e-mail access, it costs 20% of the price for 400 minutes of talk time. Your bill, which includes e-mail, is the same each month for 6 months. The total cost for all 6 months is $168.48, Write and solve an equation to find the number of minutes of talk time you use each month.​

Answers

Answer:

2,541 minutes

Step-by-step explanation:

i hope this helps

Enrique took his family out for dinner. He planned to leave a 15% gratuity on the bill. What is the total cost if the bill was $123.50?

Answers

Answer:

$142.03

Step-by-step explanation:

15% Gratuity on the Bill=

$123.50 X 0.15 =$18.525

Add this to the bill cost to find the total cost.

$123.50+$18.525

=$142.03

WHAT IS QUESTION B???

Answers

Answer:

Step-by-step explanation:

W1: 25 X 3 = 75 ft

N1: 25 X 13 = 325 ft

E1: 25 X 7 = 175 ft

S1: 25 X 5 = 125

W2: 25 X 4 = 100

Add all sides up to get a total of 800


Renaldo increased the image size on the computer screen by 20%. By
what percent did the area of the image increase?

Answers

Answer:

44%

Step-by-step explanation:

100 + 20 = 120/100

(1.2)^2=1.44

144 - 100 = 44%

a sound is sent at the bottom of a pond if echo is heard after 6 seconds calculate the depth of the pond .the speed of sound I'm water is 1498m/s​

Answers

Answer:

Depth of the pond: 4494 m

Explanation:

if echo is heard after 6 seconds, it takes 3 seconds to reach to bottom of pondso time will be 3 seconds and speed given 1498 m/s

Steps:

distance = speed * timedistance = 1498 * 3distance = 4494 m


The vertices of a figure are given. Find the coordinates of the figure after the transformations given.
F(-9, -9), G(-3,-6), H(-3,-9)
Dilate with respect to the origin using a scale factor of. Then translate 6 units up.

Answers

Answer:

the answer of the question will be F(7,9)

help with all parts please

Answers

Hey there mate!

Please check the attached image of question for the answer with explanation.

Hope it helps ...

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