4x-2y = 2
3x-2y=-19
Help

Answers

Answer 1

Answer:

{x,y}={21,41}

Step-by-step explanation:

Step by Step Solution:

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System of Linear Equations entered :

  [1]    4x - 2y = 2

  [2]    3x - 2y = -19

Graphic Representation of the Equations :

   -2y + 4x = 2        -2y + 3x = -19  

 

Solve by Substitution :

// Solve equation [2] for the variable  x

 [2]    3x = 2y - 19

 [2]    x = 2y/3 - 19/3

// Plug this in for variable  x  in equation [1]

  [1]    4•(2y/3-19/3) - 2y = 2

  [1]    2y/3 = 82/3

  [1]    2y = 82

// Solve equation [1] for the variable  y

  [1]    2y = 82

  [1]    y = 41

// By now we know this much :

   x = 2y/3-19/3

   y = 41

// Use the  y  value to solve for  x

   x = (2/3)(41)-19/3 = 21

Solution :

{x,y} = {21,41}

Answer 2

Answer: {x,y}={21,41}


Related Questions

An airplane flying at an altitude of 2600 m is approaching an airport run away located 56 km away (from the airplane to the run away). Calculate the airplane’s angle of decent. (Hint: the angle of decent is the same as the angle of depression.)

Answers

Given :

An airplane flying at an altitude of 2600 m is approaching an airport run away located 56 km away.

To Find :

The airplane’s angle of decent.

Solution :

Height of plane, h = 2600 m.

Horizontal distance of airplane from vertices is, d = 56 km = 56000 m.

Let, angle of depression is Ф.

So,

[tex]tan \ \phi = \dfrac{56000}{2600}\\\\tan \ \phi = 21.54\\\\\phi = 87.34^o[/tex]

Therefore, the angle of decent is 87.34°.

Hence, this is the required solution.

-6x+9-4x=14 The value for x

Answers

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[tex] - 6x + 9 - 4x = 14[/tex]

[tex] - 6x - 4x + 9 = 14[/tex]

Collect like terms

[tex]( - 6 - 4)x + 9 = 14[/tex]

[tex] - 10x + 9 = 14[/tex]

Subtract sides 9

[tex] - 10x + 9 - 9 = 14 - 9[/tex]

[tex] - 10x = 14 - 4 - 5[/tex]

[tex] - 10x = 10 - 5[/tex]

[tex] - 10x = 5[/tex]

Divide sides by - 10

[tex] \frac{ - 10x}{ - 10} = \frac{5}{ - 10} \\ [/tex]

[tex]x = - \frac{5}{10} \\ [/tex]

[tex]x = - \frac{5}{5 \times 2} \\ [/tex]

[tex]x = - \frac{1}{2} \\ [/tex]

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Average movie prices in the United States​ are, in​ general, lower than in other countries. It would cost ​$79.98 to buy three tickets in Japan plus two tickets in Switzerland. Three tickets in Switzerland plus two tickets in Japan would cost ​$75.02. How much does an average movie ticket cost in each of these​ countries?

Answers

Answer:

$79.98-$75.02=$04.96

Answer:

$04.96 is right answer am I right or wrong hope I am right

What is the slope?
rise=6
run=12

Answers

Answer:

0.5

Step-by-step explanation:

Rise over run. 6/12 or divide. 6 divided by 12 equals 0.5.

Answer: 1/2

Step-by-step explanation:

6/12 simplified is 1/2

The volume V of gas varies inversely to the pressure P. The volume of a gas is 200 cm3 under pressure of 32 kg/cm2. What will be its volume under pressure of 40 kg/cm2?

Answers

Answer:

V = 160 cm³ when P = 40 kg/cm²

Step-by-step explanation:

V = k / P

Where,

V = volume

P = pressure

k = constant of proportionality

The volume of a gas is 200 cm3 under pressure of 32 kg/cm2

V = k / P

200 = k / 32

Cross product

200 × 32 = k

6,400 = k

k = 6,400

What will be its volume under pressure of 40 kg/cm2?

V = k / P

= 6,400 / 40

= 160

V = 160 cm³

Points (−6, 3) and (−6, −3) on the coordinate grid below show the positions of two dogs at a park:






Which statement best describes the relationship between the positions of the two players?

Dog 1's position is Dog 2's position reflected across the y-axis; only the signs of the y-coordinates of Dog 1 and Dog 2 are different.
Dog 1's position is Dog 2's position reflected across the x-axis; only the signs of the y-coordinates of Dog 1 and Dog 2 are different.
Dog 1's position is Dog 2's position reflected across the x-axis; only the signs of the x-coordinates of Dog 1 and Dog 2 are different.
Dog 1's position is Dog 2's position reflected across the y-axis; only the signs of the x-coordinates of Dog 1 and Dog 2 are different.

Answers

Answer:

The answer is B.

Step-by-step explanation:

Points (−6, 3) and (−6, −3) on the coordinate grid below show the positions of two dogs at a park:

A coordinate plane is shown. There is a point at negative 6, 3 labeled Dog 1. There is a point at negative 6, negative 3 labeled Dog 2.

The area of a rectangle is less than 81 square centimeters. The length of the rectangle is 9 centimeters and the width is x centimeters. Select the possible value(s) of x.

Answers

Answer:

Given

The area of a rectangle is less than 81 square centimeters

length 9cm

width =x cm

Step-by-step explanation:

Area of rectangle=length ×width

= 9×X

Area of rectangle is less than 81 cm^2

So 9x-81=0

X=81/9

X=9

So the value of xis 9

Help me with my ixl please, I don’t get this

Answers

Answer:

sas

Step-by-step explanation:

Sylvia plans to place 617 stamps in an album. Each page of the album holds 5 stamps. She uses division to find out how many full pages she will have. How many full pages will she have?

Answers

Answer:

123 full pages

Step-by-step explanation:

Given

[tex]Total\ Stamps = 617\ stamps[/tex]

[tex]Each\ Page = 5\ stamps[/tex]

Required

Determine the number of full page

To do this, we simply divide the total stamps by stamps in each page;

[tex]Pages = \frac{Total\ Stamps}{Each\ Page}[/tex]

[tex]Pages = \frac{617}{5}[/tex]

[tex]Pages = 123.4[/tex]

Then we record only the quotient

The quotient is the digits before the decimal

[tex]Pages = 123[/tex]

Hence, she has 123 full pages

I’m so confused. I need help :C

Answers

Answer:

Apple A

Step-by-step explanation:

Apple A 6.90/6 = 1.15 lb

Apple B 12oz/ (16oz or 1lb) =3/4   .90/(3/4) =1.2lb

Apple C 0.45/(1/4)= 1.8lb

77 is 56% of what number

Answers

Answer:

137.50

Step-by-step explanation:

please give branliest

Answer:

137.5 I think I might be wrong..

what is the smallest number you can make using 4 5 3 6

Answers

Answer:

3456

Step-by-step explanation:

Please help! what is an equation of a parabola with x-intercepts at (2,0) and (-7,0) and which passes through the point (1,32)?​

Answers

Answer:

[tex]f(x)=-4(x-2)(x+7)[/tex]

Or, in standard form:

[tex]f(x)=-4x^2-20x+56[/tex]

Step-by-step explanation:

We can use the factored form of a quadratic equation:

[tex]f(x)=a(x-p)(x-q)[/tex]

Where a is the leading coefficient and p and q are the zeros of the quadratic.

We know that the x-intercepts are at (2, 0) and (-7, 0).

So, let's substitute 2 for p and -7 for q. This yields:

[tex]f(x)=a(x-2)(x+7)[/tex]

Now, we need to determine a.

We know that it passes through the point (1, 32). In other words, if we substitute 1 for x, we should get 32 for f(x). Therefore:

[tex]32=a(1-2)(1+7)[/tex]

We can now solve for a. First, compute:

[tex]32=a(-1)(8)[/tex]

Multiply:

[tex]32=-8a[/tex]

Divide both sides by -8:

[tex]a=-4[/tex]

So, the value of a is -4.

Therefore, our entire equation is:

[tex]f(x)=-4(x-2)(x+7)[/tex]

Notes:

We can expand this into standard form:

[tex]f(x)=-4(x-2)(x+7) \\ f(x)=-4(x^2+5x-14) \\ f(x)=-4x^2-20x+56[/tex]

Y=??? Answer pls I will try to answer one of urs if u do

Answers

Answer:

y=85

Step-by-step explanation:

Plis answer me this question is do tomorrow

Answers

Answer:

133? i just did 400 divided by 3 lol

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

first, make sure that is the entire graph because if not this answer is wrong

20 people total and 3 picked science so 3/20=x/400 so 20x20=400 so 3x20 means the number of students 400 who picked science probably based on this and it is 60

What is the solution to the equation?
(x - 2)^1/2 + 4 = x
A. -3 and -6
B. 3 and 6
C. -3
D. 6

Answers

Answer: D
1/2x-1+4=x
1/2x-x=-3
-1/2x=-3
x=6

Answer:

(D). 6

Step-by-step explanation:

[tex]\sqrt{x-2}[/tex] + 4 = x and x ≥ 2

Let analyze the answer's choices

(A). Does not satisfy domain

(B). [tex]\sqrt{3-2}[/tex] + 4 ≠ 3

(C). Does not satisfy domain

(D). √(6 - 2) + 4 = 6 ⇒ x = 6 is the answer.

A 3 pack of light bulbs cost $3.45 a 4 pack of the same libels cost $4.20 which pack is the better value

Answers

i think that the second one is correct

Can someone help me with problems in the image?

Answers

Answer:

13.m<9=110  14.m<4=115    15.m<10=70   16.m<11=70   17.m<8=65    18.m<5=65  19.m<3=65      20.m<14=110

Step-by-step explanation:

2. Lillie's grandmother is making potato salad for a family reunion. She uses three
potatoes for each person attending the dinner. If she expects 24 people to
attend the reunion, which proportion can be used to solve for p, the number of
potatoes?

Answers

Answer:

3/4*24=p or 0.25*24 *******excluding Lily's grandmother and her.

Step-by-step explanation:

Hope this helps.

PLSS HELP AND DON'T DO IT FOR THE POINTS AND THE FIRST PERSON TO HELP GETS BRAINLIEST

Answers

Answer:

okay I will do fast give me free points

HELP!! CAN I PLEASE GET HELP I JUST NEED WHAT X IS ‍♀️?

Answers

Answer:

x = 2

Step-by-step explanation:

63x - 1 and 62x + 1 are corresponding angles and congruent, thus

63x - 1 = 62x + 1 ( subtract 62x from both sides )

x - 1 = 1 ( add 1 to both sides )

x = 2

Answer:

A.

Step-by-step explanation:  63 x - 1  62 x + 1

If in the 1980's about 60 million families had Tv's in their homes and in 2015 there was almost 100 million families that had Tv's in their home how many more Tv's were there in 2015?

Answers

Answer: 40 million

Step-by-step explanation:

Number of families that had TVs in their home in 1980s = 60 million

Number of families that had TVs in their home in 2015 = 100 million

To calculate the increase in TVs that were there in 2015, we subtract the number of families that had TVs in their home in 1980s which was 60 million from the number of families that had TVs in their home in 2015 which was 100 million. This can be expressed as:

= 100 million - 60 million

= 40 million

Answer:

it would be 1950 and 45 million

Step-by-step explanation:

x2+ x -12x-pWhat value should be substituted for p for the expression to reduce to (x + 4) ?

Answers

Handball the Theo thaow d skskozoaow.

The selling price of an item is ​$480. It is marked down by 10​%, but this sale price is still marked up from the cost of ​$360. Find the markup from cost to sale price.

Answers

Answer:

72

Step-by-step explanation:

i just know it

If the selling price of an item is ​$480. It is marked down by 10​%, but this sale price is still marked up from the cost of ​$360.Then 72 is the markup from cost to sale price

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given,

The selling price of an item is ​$480

It is marked down by 10​%, but this sale price is still marked up from the cost of ​$360

We need to find 10% of 480

10/100=0.1

0.1×480=48

48 is the 10% of 480

Now subtract 48 from 480

480-48

432

Now subtract 360 from 432

432-360

72

Hence 72 is markup from cost to sale price

To learn more on Percentage click:

https://brainly.com/question/28269290

#SPJ2

What is the slope of a line perpendicular to the line whose equation is 2x-y=−6. Fully reduce your answer.

Answers

Answer:

m-perpindicular= -[tex]\frac{1}{2}[/tex]

PLEASE MARK BRAINLIEST

PLEASE HELP ME :(
evaluate each expression
7-9

Answers

Answer:

7. 64

8. -100000

9. 729

Step-by-step explanation:

I did it on a calculator.

The sum of 5 times a number and -6 is 2
How should I write that?

Answers

Answer:

5x-6=2

Step-by-step explanation:

Every ride at the country fair costs the same amount. The cost of one ride is $2.25. The fair entry fee is $6.50. Lupe paid the entrance fee and rode 7 rides. How much did Lupe pay in all?

Answers

Answer:

$22.25

Step-by-step explanation:

Step one:

given data

we are told that the cost of  one ride is $2.25

the entry fee= $6.5

the linear function for the situation is represented by the equation of line

y=mx+c

Step two:

let x be the number of ride

given that x=7

substituting we have

y=2.25(7)+6.5

y=15.75+6.5

y=22.25

In all Lupe we have to pay $22.25

Using a Table to Multiply Multivariable Polynomials What is the product of 6x – y and 2x – y + 2? 8x2 – 4xy + 12x + y2 – 2y 12x2 – 8xy + 12x + y2 – 2y 8x2 + 4xy + 4x + y2 – 2y 12x2 + 8xy + 4x + y2 + 2y

Answers

Answer: B.

[tex]12x^{2}[/tex] [tex]-8xy + 12x + y^2 - 2y[/tex]

Step-by-step explanation:

i just took the assignment

A scale drawing of a playhouse is shown below. What is the total height of the actual playhouse?

A. 4 ft
B. 6 ft
C. 8 ft
D. 16 ft​

Answers

Answer:

A

Step-by-step explanation:

It’s actually D because half of an Inch =1ft
So 1/2+1/2=1 Inch and 1 inch =2ft so if you know that then it’s just simple 5•2 which is 10 and 3•2 which is 6 and 10+6=16
But u have to remember for other problems that u need to follow the scale
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