solve the system 2x+4y=16 5x +3y=19 then find the value of y/x

Answers

Answer 1

Answer:

I would change 2x+4y=24 into x=12–2y

To do that, divide both sides by 2 and then subtract 2y on each side.

After that, substitute for x. 3x+2y=19 would become 3(12–2y)+2y=19.

Then solve.

3(12–2y)+2y=19

36–6y+2y=19

-4y+36=19

-4y=-17

y=4.25

Then, substitute y in either equation.

Either this:

3x+2y=19

3x+2(4.25)=19

3x+8.5=19

3x=10.5

x=3.5

Or:

2x+4y=24

2x+4(4.25)=24

2x+17=24

2x=7

x=3.5

Or you could solve it in the equation you created in the beginning:

x=12–2y

x=12–2(4.25)

x=12–8.5

x=3.5

The coordinates where the lines intercept are (3.5, 4.25).

Sorry for the long answer!


Related Questions

What is the true solution to the equation below?
2 In eln2x - In eln 10x = In 30
X = 30
X= 75
X = 150
X=300

Answers

Answer:

x = 75 hope this helped

Step-by-step explanation:

The true solution to the equation is,

⇒ x = 75

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The expression is,

⇒ [tex]2 ln e^{ln2x} - ln e^{ln10x} = ln 30[/tex]

Now, We can simply as;

⇒ [tex]2 ln e^{ln2x} - ln e^{ln10x} = ln 30[/tex]

⇒ 2 ln 2x - ln 10x = ln 30

⇒ ln (2x)² - ln 10x = ln 30

⇒ ln (2x)² / 10x = ln 30

⇒ 4x² / 10x = 30

⇒ 4x = 300

⇒ x = 75

Thus, The true solution to the equation is,

⇒ x = 75

Learn more about the mathematical expression visit:

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please help this is due tomorrow ​

Answers

Danielle had a percent error of 13.6 (farthest)
Iris had a percent error of 6.8
HB has a percent error of -2.3 (closest)

So the order is HB, Iris, and then Danielle

The height of a football after it's been kicked from the top of a hill is h=2(-2-4t)(2t-5) where h is height and t is time in seconds how long was football in the air?

Answers

Answer:

2.5 seconds.

Step-by-step explanation:

When the football reaches the ground h = 0, so:

2(-2 - 4t)(2t - 5) = 0

so either -2 - 4t = 0 or 2t - 5 = 0

so -4t = 2 or 2t = 5

t  = -1/2 , t = 5/2 = 2.5 seconds.

WE ignore the negative t , so

Time that the ball was in the air = 2.5 seconds.

which three statements are true about the line segment CB
it's the radius of the circle

it is the circumference of the circle

it is a cord
it is 6cm long

it is diameter of the circle

it is 7cm long

it is 1.75cm long​

Answers

Answer:

1. it is 7 cm long

2. it is a chord

3. it is the diameter of the circle

Step-by-step explanation:

Here, we want to select three statements that are true about CB

From what we have, CB runs from one edge to the other, passing through the center of the circle

Also, as we can see, AD is a radius as it is the distance from the center of the circle to the circumference; CB is twice this as it is the diameter

The diameter is a chord that passes through the center of the circle and it is a radius

So let us select the correct statements;

1. it is 7 cm long

2. it is a chord

3. it is the diameter of the circle

what is the volume.
(pls hurry cause i have to turn in soon.)

Answers

Your correct answer is v= 114
V= 120
Used the formula for pyramids, the B is equal to 36 and h is equal to 10 then you just multiply 1/3 10 and 36 to get 120

i have to turn this in today lol help pls:)

Answers

400, if you can buy 4 tickets for $6 you can buy 400 for $600

what is the answer to these questions I will give brainly

Answers

Answer:

1) 12 2) 1/8

Step-by-step explanation:

1) 3 times 4 = 12

2) 1/2 times 1/4 = 1/8

     

BASED ON THESE NUMBERS, AND YOUR KNOWLEDGE OF FIBONACCI NUMBERS, IS THE STATEMENT THAT FOLLOWS TRUE OR FALSE? F(N+2) IS EXACTLY EQUAL TO THE SUM OF THE FIRST N TERMS OF THE FIBONACCI SEQUENCE.
A. TRUE
B. FALSE

Answers

Answer:

false

Step-by-step explanation:

64° (3x + 1)º Find the value of x. I need help!!
A 21
B 27
C 51
D 14

Answers

Answer:

Take away 1 from either side so the equation becomes 63=3x then divide both sides by 3 so it becomes 21=x which is your answer (option A)

Step-by-step explanation:

PLEASE HURRY
What is the volume of the rectangular prism?

Answers

Answer:

the answer is A

Step-by-step explanation:

3 1 / 2 ft 2

three and one half feet squared

HELPP ASAP I WILL GIVE 14 POINTS

Answers

Given:

A box-and-whisker plot of data set.

To find:

The percentage of the data values that are greater than 80.

Solution:

From the given box-and-whisker plot, it is clear that:

Minimum value = 8

First quartile = 60

Median = 68

Third quartile = 80

Maximum value = 92

We know that the 25% the data value are greater than or equal to third quartile because the third quartile divides the data in 75% to 25% and 80 is the third quartile.

Therefore, about 25% of the data values that are greater than 80.

the distance between -8 and 6

Answers

Answer:

14 is the number of distance between them if you're asking for

-8-6 it's 2

Answer:

12

Step-by-step explanation:

Get the absolute value of -8 and 6, which is 8 and 6, and add them together.

Is this right? Please hurry im trying to get all my work done

Answers

Answer:

I’m pretty sure it’s right.

Step-by-step explanation:

Eighteen students decide they don't want to be
rescued and want to continue to live in the
jungle. If this represents 40% of the students,
how many students want to be rescued?
Type your answer into the box to continue.

Answers

Answer: 45

Step-by-step explanation:

18 = 40% N

18 = 0.4 N

Divide both sides by 0.4

N = 45

There are 45 students want to be rescued.

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

Eighteen students decide they don't want to be rescued and want to continue to live in the jungle.

And, This represents 40% of the students.

Now,

Let the number of students want to be rescued = x

So, We can formulate;

⇒ 40% of x = 18

Solve for x as;

⇒ 40/100 × x = 18

⇒ 40x = 1,800

⇒ x = 1800/40

⇒ x = 45

Thus, The number of students want to be rescued = 45

Learn more about the percent visit:

https://brainly.com/question/24877689

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If given the side of an equilateral triangle is 11 m then find the area of the triangle

Answers

The area would be 52.39 m

NOWWWWWWWWWWWWWWWWWWWWWWWWWWWW

Answers

Answer: 46 degrees

Step-by-step explanation:

180-134=46 degrees to solve for x

The rivers depth is three meters greater than its width. two time the rivers depth is equal to six meters more than twice its width.
PLZ write a system of equations and show ALL work
WOULD APPRECIATE A LOT

Answers

Answer:

d = w + 3 (first equation)

2d = 2w + 3 (second equation).

The second equation is equivalent to the first one.

In other words, two equations carry the same information as the first one, not more.

In the language of linear algebra, the system is dependent

PLSSS HELP 50 POINTSS ILL SEND 40 MORE IF U HELPP PLSSS
The cost of the hiking trip this year is 2/3of the cost of last year's trip. This year's trip cost $32

1. Write an equation that represents the cost of last years trip.
2.What was the cost of last year's trip

Answers

1) y=53

2)53

21 is 2 thirds of 32 so you add them together and get 53. Also Y=Cost of last years trip which we determined is $53

3(2x-4)=3X-3. What is the x?​

Answers

Answer:

x = 3

Step-by-step explanation:

Distributive property: a(b + c) = (a*b) + (a*c)

3(2x - 4) = 3x - 3

3*2x - 3*4 = 3x - 3

6x  - 12 = 3x - 3           {Add 12 to both sides}

6x -12 + 12 = 3x -3 + 12

          6x   = 3x + 9       {subtract 3x from both side}

     6x - 3x = 3x - 3x + 9

          3x   = 9      {Divide both sides by 3}

         3x/3 = 9/3

x = 3

Can you guys help me with this

Answers

11.      f = 180-(75+65)

        f = 180 - 140

        f = 40°

12.     x = 62+51

         x = 113

         

          y = 180- 113

          y = 67°

13.       x = 360-(100+95+60)

          x = 360 - 255

          x = 105°

PLEASE MARK THIS ANSWER AS BRAINLIEST

Answer:

Answers are given in the above photos.

Hope that will help you surely.

Thank You.

i need help answering this but also how to do it like step by step. i don’t understand this. (9 + 7x) - 7x

Answers

Answer: 9

Step-by-step explanation: so first you remove the ( ) because they’re useless in this then once you remove then Since two opposites add up to zero, remove them from the expression then you only get left with 9.

A test has 100 questions. Lionel gets 87 questions correct. What decimal shows the part of the test he gets incorrect? *

Answers

Answer:

0.13

Step-by-step explanation:

Answer:

I'm also going to say 87.0 for this one

Step-by-step explanation:

Hope it helped :)

The area of a playground is 3 square yards. The length of the playground is 3 times longer than its width. Find the length and width of the playground.

Answers

Answer:

Width is 2 and Length is 6

Step-by-step explanation:

the width is 2 and the length is 3 times the length is 3(2) = 6.  

A laptop has a listed price of $667.95 before tax. If the sales tax rate is 7.75%, find the total cost of the laptop with sales tax included.
Round your answer to the nearest cent, as necessary.

Answers

Answer:

$719.72

Step-by-step explanation:

For the parallelogram, if m<2=5x-28 and m<4=3x-10, find m<3​

Answers

5x-28=3x-10
X=9
5*9-28=40
360-40-40=280
280/2=140=m<3

What is the averge speed of a plane flying 2,184 miles from knoxville tn to los angeles ca in 7 hours

Answers

Answer:

312 mi/hr

Step-by-step explanation:

Distance = 2184 miles

Time taken = 7 hours

Average speed = Distance / time taken

Average speed = 2184 miles / 7 hours

Average speed = 312 miles per hour

Hence, the average speed Traveled by the plane traveling from Knoxville to Los Angeles is 312 miles per hour

Pls answer!! I’ll mark you brainlist if it’s correct!

Answers

Answer:

140 - 6(8)

140-48

140-48= 92

92 is your final answer.

Kade has $45 in savings and wants to purchase a video game console for $250. He has a coupon for 10% off, and sales tax is 8.25%. In order to be financially responsible, Kade wants to wait until he has enough in savings to not have to borrow money. If Kade is able to save $45 each week, what is the minimum number of weeks Kade should save before making his purchase?

Answers

Answer:

5 weeks

Step-by-step explanation:

First, solve for the total cost of the game console after tax and a coupon

Solve for tax:

$250 × 8.25%

Convert percentage into a decimal

250 × 0.0825

20.625

Round up to nearest hundredths place (because the unit is dollars)

20.63

Add this tax onto the original cost

250 + 20.63

270.63

Subtract the coupon from the total

270.63 - 10

260.63

Total cost is $260.63

Now let's find how much Kade needs to save so set up an equation

Variable x = number of weeks

45 + 45x = 260.63

Subtract 45 from both sides to isolate the variable

45x = 215.63

Divide both sides by 45

x = 4.791777...

Round up to nearest whole number (because units are weeks)

x = 5 weeks

The diameter of a circle is 2 kilometers. What is the radius?

Answers

The radius of the circle is 1km

Answer:

The radius of the circle is 1 kilometer.

Step-by-step explanation:

The radius of the circle is the length from the very center of the circle to any other point in the circle. To find the radius, you only have to divide the diameter in half, so 2 ÷ 2 = 1. Hope this helped!! :]

subtract 5 from 3 times r what is the answer​

Answers

Answer: what is R equal to?

Step-by-step explanation:

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