Solve these simultaneous equations: 3x = y and x = y - 16

Answers

Answer 1

Answer:

x=8

y=24

Step-by-step explanation:

3x=y

x=y-16

Substitute y for 3x

x=3x-16

Add 16 to each side

x+16=3x

Subtract x

16=2x

Divide each side by 2

8=x

y=3x=3×8=24

y=24

Answer 2
Answer :Value of x is 8Value of y is 24Explaination :

Here we have been given with two equations and we have to calculate the values of x and y. So we would be using substitution method for it.

3x = y (Equation No 1)x = y - 16 (Equation No 2)

Here we can clearly see that value of y is 3x. So we would substitute it in Equation No 2.

>> x = y - 16

>> x = 3x - 16

>> x - 3x = -16

>> -2x = -16

>> 2x = 16

>> x = 16 / 2

>> x = 8

Finding out value of y:-

>> y = 3x

>> y = 3 (8)

>> y = 3 × 8

>> y = 24 [tex] \: [/tex]


Related Questions

The solution (x y) to a system of equatiohs is the point where they..?

Answers

Answer:

Intersect

Step-by-step explanation:

find the area of the figure below, composed of a rectangle and semicircle. Round it to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

radius of semicircle = 5

area of semicircle = πr² = 25π

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total area = 140 + 25π ≅ 218.54 square units

The ratio 2 centimetres to 5 metres can be written in the form
1
:
n
.

Find the value of
n
.

Answers

Answer:

n = 250

Step-by-step explanation:

To express the ratio, the quantities must have the same measures

2 cm : 5 m

= 2 cm : 500 cm [ 1 m = 100 cm ]

Divide both parts by 2

= 1 : 250 → with n = 250

Write a verbal statement that represents the expression
h
÷
8
.

Answers

Answer:

the variable h divided by 8. The quotient of h and 8

Step-by-step explanation:

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Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Indices.

After simplifying we get as,

B.) 3v^16/m^4 p^6

option B.) is totally correct.

Answer:

b0uv9uvj9c9hc9

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beive88eh

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Answer:

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

What is the measure of the indicated angle?

Answers

Answer:

76

Step-by-step explanation:

Let the indicated angle be x

all the angels add up to 180⁰

therefore,

x + 48 + 56 = 180

x + 104 = 180

x = 180 - 104

x = 76

HOPE THIS HELPS

The answer would be 76!

Solve for the hypotenuse in the right triangle shown.​

Answers

Answer:

Square root of 34

Step-by-step explanation:

a^2 +b^2 =c^2

3^2 + 5^2 = 34

[tex]\sqrt{34}[/tex]

The probability that Stu buys a sandwich is 0.5. The probability that Stu gets the bus is 0.8. Assuming the events are independent, what is the probability that Stu buys a sandwich and gets the bus?

Answers

Answer:

0.4

Step-by-step explanation:

hegarty maths

Find the area of the sector.
45 degrees
11 cm radius

Answers

Answer:

Area 47.516589 cm2 (square centimeters)

Step-by-step explanation:

Help please I forgot how to do this

Answers

Answer:

the second one

Step-by-step explanation:

i dont know if this is right i am not the best but i tried hope i got it

school lunches cost ₱35.50 per week. about how much would 15.5 weeks of lunches cost?grade v​

Answers

Answer:

₱ 550.25

Step-by-step explanation:

₱ 35.50 * 15.5 weeks = ₱ 550.25

550.25 is the anawer

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Answers

An equation has to have a equal sign. So all with a equal sign. If there’s no equal sign it’s a expression.

8. Solve for x. Round to the nearest hundredth If necessary.

Answers

Answer:

11.47

Step-by-step explanation:

The cosine of an angle is equal to the ratio of the adjacent side to the hypotenuse.

Find the last side of the triangle using the Pythagorean theorem.

good luck, i hope this helps :)

Peter picks one bill at a time from a bag and replaces it. He repeats this process 100 times and records the results in the table.

Based on the table, which bill has an experimental probability of being drawn from the bag next?

Experimental or Theoretical?

Answers

Answer:

Theoretical

Step-by-step explanation:

If BE = 2x + 2, BD = 5× - 3, and AE = 4× - 6, what are the values of x and AC?​

Answers

Answer:

x = 7

AC = 44

Step-by-step explanation:

Find the diagram attached

According to the parallelogram,

BD = 2BE

5x-3 = 2(2x+2)

5x-3 = 4x+4

5x-4x = 4+3

x = 7

Hence the value of  x is 7

Also AC = 2AE

AC = 2(4x-6)

AC = 8x - 12

AC = 8(7) - 12

AC=  56-12

AC = 44

Hence the measure of AC is 44

What is the range for the function below?

Answers

negative infinite and four

What is the gcf of 10m^3 +45m

Answers

Answer:

ITS 1

10 = 2 • 5

   3 = 3

   45 = 32 • 5

Answer:

GCF of 40 and 60

Step-by-step explanation:

Solution We first express 20 and 60 as the product of prime numbers 40 = 2 × 2 × 2 × 5 60 = 2 × 2 × 3 × 5. The common factors are 2 × 2 and 5.

What is the area of a triangle whose base measures 3.2 centimeters and whose height is 4.6 centimeters.

Answers

Answer:

7.36 cm²

Step-by-step explanation:

What is the area of a triangle whose base measures 3.2 centimeters and whose height is 4.6 centimeters.

The formula for the area of a triangle is given as:

1/2 × Base × Height

Base = 3.2 cm

Height = 4.6 cm

Hence,

Area of the triangle = 1/2 × 3.2 × 4.6

= 7.36 cm²

What is the equation of a horizontal line passing through the point (−7, 5)? (1 point)

y = 5
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x = 5
x = −7

Answers

If it’s a horizontal line, we focus on the y-coordinates.

(-7,5)

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.Evaluate (103)^3using identity.​

Answers

Answer:

1092727

(103) ^3 =(100+3) ^3

=(100) ^3 +3 ^3 +3×100×3(100+3)

=1000000+27+90000+2700

=1092727

Step-by-step explanation:

Hope it is helpful....

Answer:

It would be equal to 1092727

Step-by-step explanation:

You would expand and get 103 times 103 times 103.

I didn't know what identity ur talking about

game item?? game name???

Answers

Answer:

It's minecraft and that item is a string from a spider's web. Please keep questions related to school.

Step-by-step explanation:

Alguien me podría ayudar aunque sea en la 2°
se los agradecería mucho​

Answers

Answer:

photomath

Step-by-step explanation:

es una app q te ayuda en ejercicios de matemática

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Answers

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What are the coordinates of point S?

Answers

Answer:

(-2,3) or (3,-2)

Step-by-step explanation:

follow the line if that makes since

Answer:     (-3,2)

Step-by-step explanation:

The point is 3 spaces left so it would be negative and 2 spaces up so positive.

Hi, can someone please help me with some geometry problems?!!!

Answers

Answer:

I can!

Step-by-step explanation:

Sure why not post them

The cost of 25 litres of petrol is Rs.1400.Find the cost of 30 litres of petrol.​

Answers

Rs.1680

Liter. Rs
————-|————-
25 | 1400
:5( | ):5
5 | 280
x6( | )x6
30 | 1680

There are 90 penguins in a zoo. There are two types - Humboldt and Emperor.
52 are female, of these 6 are Emperor penguins.
There are 5 male Emperor penguins.
Use this information to complete the frequency tree.
PLEASE ANSWER I WILL GIVE BRAINLIEST!!!

Answers

Answer:

still need it?..........

What is an equation of the line that passes through the points (4, -6) and
(8,-4)?

Answers

Answer:

y = 1/2x - 8

Step-by-step explanation:

(4, -6) & (8, -4)

First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(-4 - (-6)) / (8 - 4)

Simplify the parentheses.

= (2) / (4)

Simplify the fraction.

2/4

= 1/2

This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.

y = 1/2x + b

To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (8, -4). Plug in the x and y values into the x and y of the standard equation.

-4 = 1/2(8) + b

To find b, multiply the slope and the input of x(8)

-4 = 4 + b

Now, subtract 4 from both sides to isolate b.

-8 = b

Plug this into your standard equation.

y = 1/2x - 8

This is your equation.

Check this by plugging in the other point you have not checked yet (4, -6).

y = 1/2x - 8

-6 = 1/2(4) - 8

-6 = 2 - 8

-6 = -6

Your equation is correct.

Hope this helps!

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Answers

Answer:

4.5 .       ^14

Step-by-step explanation:

dont cheat in tests next time not everyone is as kind as me

Answer:

It would be 4.5 x 10^14

Step-by-step explanation:

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