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

LMNP is rotated 180° clockwise around the origin.

Answers

Answer:

The correct answer is B

Step-by-step explanation:

-3,-4

Coordinates of M are (-3, -4) as LMNP rotates 180° clockwise.

What is clockwise rotation?

" Clockwise rotation means when any object is moving in the direction of hands of clock."

According to the question,

As per the diagram ,

Coordinates of M are ( 3, 4)

Rotation of a point through 180° about the origin when a point M( x, y) is rotated about the origin through 180° in anticlockwise or clockwise direction, it takes the new coordinates ( -x ,-y).

Therefore , coordinates of M are ( -3, -4).

Hence, coordinates of M are (-3, -4) as LMNP rotates 180° clockwise.

Learn more about clockwise rotation here

https://brainly.com/question/14701550

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Please help me it says What kind of triangle makes the Pythagorean theorem true?what angle does it need to have?

Answers

Answer:

right triangle

Step-by-step explanation:

The sides of a right triangle in a simple way, so that if the lengths of any two sides are known the length of the third side can be found.

hope it helps.

Question 3:
Solve the inequality 3x – 8 > 16

Answers

Answer:

x is greater than 8

Step-by-step explanation:

3x-8>16

3x>24

x>8

The solution of the inequality is : x is greater than 8.

Here, we have,

given that,

the inequality 3x – 8 > 16

now, we have to Solve the inequality 3x – 8 > 16

so, we get,

3x-8>16

adding 8 on both side, we get,

=>3x>24

dividing both side by 3, we get,

=>x>8

Hence, The solution of the inequality is : x is greater than 8.

To learn more on inequality click:

brainly.com/question/24853349

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Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Complete the following proof.

Given: Two concentric circles with AB tangent to smaller circle at R



Prove: AR = RB

Answers

Step-by-step explanation:

The statements are

1.Draw Oa,Ob

2.OR is perpendicular to AB

3.OR is congruent to OR

4.OA is congruent to OB

5.Triangle AOR is congruent to BOR.

6.AR is congruent to AB.

The reasons are

1.Auxalaritly lines

2 Radius are perpendicular to tangent

3.Reflexitive

4.Radii of same circle are equal

5.HL theorem, (since we know hypotenuse and a leg)

6.CPCTC

Need help as fast as possible please
I will mark BRAINLIST only for correct answers :)
Thank you!

Answers

Answer:

Correct Answer

Step-by-step explanation:

Mark as brainliest now NOW!

Find the slope of the line y=-6x-4. Type your answer as an integer.

Answers

Answer:

The slope is -6

Step-by-step explanation:

In the slope intercept form, it is y=mx+b, where m is the slope and b is the y-intercept

Therefore, -6 is slope and -4 is y-intercept

Consider the system of equations below.
4x – 8y = 12
11x + 7y = 33

Answers

Answer:

x = 3

y = 0

Step-by-step explanation:

x=3 and y=0 is your answer have a great rest of your day

A trampoline has a jumping surface that is 15.7 ft. long and 12 ft. wide. What is the area of the jumping surface?

Answers

Answer:

188.4

Step-by-step explanation:

because if you multiply 15.7 and 12 you get 188.4 and that is the area of the jumping space.

Answer:

area = length×wide=15.7×12=188.4ft²

i need help with the answers

Answers

Answer:

1.A

2.C

3.D

4.B

5.C

6.A

whatt does 5x + 9y =8 equals.

Answers

Answer:

x=8/5−9y/5

Y=8/9−5x/9

Step-by-step explanation:

Answer:

If ur solving for x, then x equals 8/5 - 9y/5

Step-by-step explanation:

A car dealership buys a car for $12,500. They sell the car for $15,750. What is the percent markup?

Answers

Answer: 26%

Step-by-step explanation:

The formula to calculate the percentage markup is given as:

= Selling price - Cost / Cost price × 100

where selling price = $15750

Cost price = $12500

Percentage markup = ($15750 - $12500) / $12500 × 100

= $3250/$12500 × 100

= 26%

Answer: 26

Step-by-step explanation:

12,500 - 15,750= 3250

For every person who has the flu, there are 6 people who have only flu-like symptoms. If a doctor sees 40 patients, determine approximately how many patients you would expect to have only flu-like symptoms.

Answers

Answer:

Approximately 7 people.

Step-by-step explanation:

Make a proportion of x/6 and divide 40 by 6. We get 6.23333...

This is approximately 7 people.

If 100 soldiers can eat 100 dozen rations in a week, how long will it take 400 soldiers to eat 400 dozen rations?

Answers

Answer:

1 week

Step-by-step explanation:

100 soldiers / 100 dozen = 1 soldier / 1 dozen

400 soldiers / 400 dozen = 1 soldier / 1 dozen

Therefore, it also takes a week for 400 soldiers to eat 400 dozen rations

Joanne bought 5 candy bars for $3.50. How much is each candy bar? pls help !!

Answers

Answer:

70 cents

Step-by-step explanation:

all you have to do is divide $3.50 and 5 :)

$0.70 or 70 cents
Explanation:
All you have to do is take $3.50 divided by 5. You’ll get 0.7.

Please help me will give brainlest to correct answer and simple/small explanation

Answers

Answer:

the measure of the angle is 72

x=36

Step-by-step explanation:

we can make an algebraic equation using the info given

2x+80=152

2x=72

x=36

the measure of the angle is 72

Answer:

x = 36, the measure of the angle is 72

Step-by-step explanation:

We can see this because Angle 2x and Angle 72 are verticle angles. Based on this information we know that verticle angles are congruent to each other, meaning the are the same. So that leaves us with an equation to figure out x.

2x = 72

[tex]\frac{2x}{2}[/tex] = [tex]\frac{72}{2}[/tex]

x = 36

Help Asap if i can i will give brainliest

Answers

Answer:

10x+2y

8c+2

0

Step-by-step explanation:

How can you convert 18ft to CM?

Answers

You can convert 18 ft to cm by doing 18 times 30.48. You do this because 1 foot equals 30.48 cm. So you do the multiplication and get 548.64 cm

Please help!! Im being timed SEE BELOW!!

Answers

Answer:

The answer is

15=B

16=C

17=D

18=B

19=D

20=D

I am a math teacher If you need any explanation you can communicate with me on Whats on this number +201557831028

1) Evaluate 3+ (a + 4)(8 – b) when a
5 and b = 6

Answers

Answer:

21

Step-by-step explanation:

3+(5+4)(8-6)

3+(9)(2)

3+18=21

Answer:

The answer is 21

Step-by-step explanation:

3+(a+4)(8-b)

3+(5+4)(8-6)

3+9x2

3+18

21

Hope this helps


A line passes through (-3, -1) and is parallel to the graph of y = 3x-4 has a slope Please help

Answers

Answer:

-12

Step-by-step explanation:

Given h(x) = 4x−4, find h(−3)

Answers

Answer:

-16

Step-by-step explanation:



Hector's plant measures 18 inches tall Approximately how many centimeters tall is Hector's plant? (1 in 2.54 cm)

Answers

Hector’s plant is about 46 cm tall.
Explanation:
Since there are 2.54 cm in an inch, you do
18 * 2.54
18 * 2.54 = 45.72
45.72 ≈ 46

5. The table below represents a quadratic function: draw a graph plot points

What would be the axis of symmetry for the equation?
What is the vertex?
What are the roots?
What is the y-intercept?

Answers

Answer:

The extreme point ( maximum or minimum ) of a parabola is called the vertex, and the axis of symmetry is a vertical line that passes through the vertex. The x-intercepts are the points at which the parabola crosses the x-axis. If they exist, the x-intercepts represent the zeros, or roots, of the quadratic function.

Step-by-step explanation:

The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves. The axis of symmetry always passes through the vertex of the parabola . The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola.

How many square inches are in 60 square feet?

5 square inches
72 square inches
720 square inches
8,640 square inches

Answers

Answer:

8,640 square inches.

Formula: multiply the Area value by 144.

Answer:

The answer is D. 8,640 square inches.

Step-by-step explanation:

Plz help me out xx tysm

Answers

Answer:

see explanation

Step-by-step explanation:

let the number be x , then

[tex]\frac{1}{2}[/tex] x = 44.3 ← is the equation

Answer:

x / 2 = 44.3

Hope that helps!

Step-by-step explanation:

PLS HELP!! GIVING BRAINLIST

Answers

Answer:

x=2

y=0

Step-by-step explanation:

8x - 4y = 16

solve for x

8x = 4y + 16

divide 8 by all terms

x = 2 + [tex]\frac{y}{2}[/tex]

Insert x in second equation

8(2+y/2)+4y=16

solve

y=0

x=2

One-third of a number decreased by six equals eight. What is the number?
6

Answers

Answer:

The number is 42.

Help Fast!!! What is 65 divided by 2,210 in a number not percentages or a fraction.

Answers

Answer:

0.02941176...

— Used a calculator for this, so it is guarantied correct! Hope this helps. Brainliest appreciated (and very much needed)

can somebody help me

Answers

Answer:

m=1/2

Step-by-step explanation:

your answer is right

m=1/2 hope this helped

When Mei solved the system of equations below, she got the
solution x = 4, y = 2. Without solving the system, yourself, can you
tell her whether this solution is correct?
4x + 3y = 22
x - 2y = 0
No
yes
Both

Answers

Answer:

yes

yes is answer of this equation

Answer:

answer is yes

Step-by-step explanation:

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