The sum of two numbers, x and y is 14. Twice the first number x and triple the second number y is 63. Find x and y.

Answers

Answer 1

Answer:

x = -21, y = 35.

Step-by-step explanation:

Use the elimination method:

x + y = 14

2x + 3y = 63

Multiply the first equation by -2:

-2x - 2y = -28

Add this to the second equation to eliminate x:

y = 35

So x  + 35 = 14

x = 14 - 35

x = -21.


Related Questions

What is the largest multiple of 17 which is less than 1000?

Answers

It is 85. 5x17= 85. Next one is 102

Write 0.36 Repeating as a fraction in simplest form

Answers

Answer:

The answer would be 4/11

4/11 is the right answer

Which phrase matches the algebraic expression below? (1 point)
2(x + 7) + 10
a
Two times the sum of x and seven plus ten
b
Two times the difference of x and seven plus ten
с
Two times x minus seven plus ten
D
Two times x plus the sum of seven and ten

Answers

Answer:

2(x+7)+10

Step-by-step explanation:

The phrase that would best match the expression would be answer A.

Frankie bought a new computer. He made an initial payment of $50 to the store, and he will pay $30 each month until the computer is paid
off. Which equation represents the relationship between m, the number of
monthly payments Frankie has made, and t, the total amount
that Frankie has paid the store?

Answers

Answer:

t = 30m+50

Step-by-step explanation:

Answer:

T = 30m + 50

Step-by-step explanation:

0.22/m = 0.05/3.7 please could you answer

Answers

Answer:

16.28

Step-by-step explanation:

0.22/m=0.05/3.7

0.814/0.05=m

m=16.28

16.28 is your answer

Which of the following has the value of 4

Answers

infinite sequences of arithmetic expressions can have a value of 4

Step-by-step explanation:

infinite sequences of arithmetic expressions can have a value of 4

if a number is negative, then its opposite will be:​

Answers

Answer:

the opposite of a negative number is positive.

Step-by-step explanation:

Negative numbers are numbers that are less than 0. The opposite of a positive number is negative, and the opposite of a negative number is positive. Since the opposite of 0 is 0 (which is neither positive nor negative), then 0 = 0.

3.
A gardenar wishes to plant 6096 plants in the form of a square and found that there
were 12 plants left. How many plants were planted in each row.

Answers

Answer:  78

Step-by-step explanation:

x² + 12 = 6096

       x² = 6084

    [tex]\sqrt{x^2}=\sqrt{6084}[/tex]

        x = 78

Instead of having 1.5 times as many pink flowers as white flowers, molly has decided to plant a garden with twice as many pink flowers as white flowers per row

Answers

Answer:

Row 1 = 2 white flowers

Row 2 = 3 white flowers

Row 3 = 4 white flowers

Step-by-step explanation:

Instead of having 1.5 times as many pink flowers as white flowers, Molly has decided to plant a garden with twice as many pink flowers as white flowers per row. If she plants 3 rows, with 4, 6, and 8 pink flowers, how can you find the number of white flowers in each of those rows?

Let

White flowers = x

Pink flowers = 2x

Molly plants 3 rows with 4, 6 and 8 pink flowers

Number of white flowers in each row is

Row 1

Pink flowers = 4

2x = 4

Divide both sides by 2

x= 2

White flowers = 2 in row 1

Row 2

Pink flowers = 6

2x=6

Divide both sides by 2

x= 3

White flowers in row 2 = 3

Row 3

Pink flowers = 8

2x=8

Divide both sides by 2

x= 4

White flowers in row 3 = 4

Therefore, the number of white flowers in each rows are 2, 3 and 4 respectively

Answer:

To find the number of white flowers, use the constant of proportionality and the number of pink flowers per row. If Molly plants 4, 6, and 8 pink flowers in 3 rows, she has to plant 2, 3, and 4 white flowers in those rows, so there are twice as many pink flowers as white.

Step-by-step explanation:

This was the sample response on edge :)

Tara is 2 years older than Ryan. The sum of their
ages is greater than 58. Describe Ryan’s age.

Answers

Answer:

Ryan = 28 years

Tara = 30 years

Ryan is over 28 years old.

Step-by-step explanation:

T = R + 2

T + R = 58

Replace T

(R + 2) + R = 58

2R = 56

R = 56 : 2

R = 28 years

T = 30 years

Help me answer this, thank you

Answers

Answer:

4

Step-by-step explanation:

P={1,2,3,4,5,6}

Q={3,4,5,6,7,8,9}

PnQ={3,4,5,6}

Therefore, n(PnQ) =4

(SAT Prep) In the given figure, C is the midpoint of AB and M is the midpoint of AC. Find the length of NB if MC = 4 and AN = 14. (A) 3 (B) 6 (C) 2 (D) 3.5

Answers

Answer:

C) 2

Step-by-step explanation:

I don't have an explanation, I just guessed.

Answer:

(C) 2

Step-by-step explanation:

We will need to make a Given, Statement, and Reason table to solve this problem.

Given:                Statement:             Reason:

AC=CB               AC=2MC                Part Whole Postulate

AM=CM              AC=2x4=8              Substitution and Algebra

CM=4                  AB=2AC                 Part Whole Postulate

AN=14                 AB=2x8=16             Substitution and Algebra

Find:                   AB-AN=NB             Part Whole Postulate

NB                       16-14=2                   Substitution and Algebra

NB=2

Hope this helps! :)

The equation 5 (3w - 4) = -3(3+ 2w) has
solution(s).

Answers

Answer:

w= 1.2

Step-by-step explanation:

Find the circumference of a circle whose diameter is 20 mm. *Plz explain your answer*

Answers

Answer:

The circumference is 62.8.

Step-by-step explanation:

Find the diameter (in this case, 20mm)Multiply the diameter by 3.14, or pi. (Pi can be a different number depending on the problem but 3.14 is the most used one)The product of the diameter multiplied by Pi is the circumference of the circle!

10x + 2=32 solve for x

Answers

Answer:

X=3

Step-by-step explanation:

10x+2= 32

10x=32-2

10x=30

X=30÷10

X= 3

Answer:

x=3

Step-by-step explanation:

10x + 2 = 32

- 2 -2 (2's cancel each other out )

10x = 30 divide each side by 10 and 10s cancel out so all your left with x =3

[tex]x = 3[/tex]

What is?
10 = Z +6
and why is it?​

Answers

Answer:

4

Step-by-step explanation:

10=z+6 <subtract six to each side

4=z

Answer:

4

Step-by-step explanation:

well you got 10 = Z+6 right.. so subract 6 from 10 what do you get, you get 4 so that is th reason Z is 4

Hope I answered ur question

Solve the right triangle. Side AB is 2.9, but I don't know how to find two missing angles with three sides and a 90-degree angle. Please explain your answer.

Answers

Answer: Choice (a) in the upper left corner

Angle A = 68 degrees

Angle B = 22 degrees

Side AB = 2.9 cm

The three values are approximate

=========================================================

Explanation:

a = BC = 2.7 and b = AC = 1.1 are the two legs of the right triangle.

Use the pythagorean theorem to find the length of the hypotenuse

a^2 + b^2 = c^2

2.7^2 + 1.1^2 = c^2

8.5 = c^2

c^2 = 8.5

c = sqrt(8.5)

c = 2.91547594742266

c = 2.9

The hypotenuse is c = AB = 2.9

--------------------

We then use trig ratios to find the two missing angles.

Let's say we ignore the hypotenuse and focus on the two legs of the triangle.

With respect to reference angle A, side BC is opposite and AC is adjacent

Use the tangent ratio to get

tan(angle) = opposite/adjacent

tan(A) = BC/AC

tan(A) = 2.7/1.1

tan(A) = 2.45454545454546

A = arctan(2.45454545454546)

A = 67.8336541779176

A = 68

Note: arctan is the same as inverse tangent or [tex]\tan^{-1}[/tex]. Make sure your calculator is in degree mode.

-------------------

Similarly,

tan(angle) = opposite/adjacent

tan(B) = AC/BC

tan(B) = 1.1/2.7

tan(B) = 0.4074074074074

B = arctan(0.4074074074074)

B = 22.166345822082

B = 22

Or you could use the value of A to get B = 90-A = 90-68 = 22. This works because A+B = 90 as we're working with a right triangle. In other words, A and B are complementary angles.

-------------------

In summary we found

A = 68

B = 22

AB = 2.9

Hi.
Please i need help with this question.
Workings please.
Find the operation used in solving the question and answer the given question.​

No 43 options
a 19
b 16
c 13
d. 5 1/3
e . 2 2/3

Answers

Answer: 41. A) 0      42. B) 1/12       43. B) 16

Step-by-step explanation:

The pattern is: multiply the bottom row and subtract the top number.

Sample: 3 x 2 - 5 = 1

              5 x 3 - 6 = 9

              2 x 1 - 1 = 1

41) 7 x 13 - x = 91

         91 - x = 91

                x = 0

42)   1/2 x 1/2 - 1/6 = x

             1/4    - 1/6 = x

          3/12 - 2/12 = x

                     1/12 = x

Check the fractions. I had to guess what the denominators are because the image is blurry.                          

43)  8 x 3 - 8 - x

          24 - 8 = x

                16 = 0

Look at the graph of the linear function. The rate of change between point A and point B is 2. What is the rate of change between point C and point D? A.= negative 2 B.= negative 1/2 C.= 1/2 D.= 2

Answers

Answer:

D. 2

Step-by-step explanation:

For a linear equation, the rate of change between any given two point on the line is always constant and the same.

Therefore, since rate of change between point A and point B is said to be 2, therefore, the rate of change between point C and D would be the same as 2.

We can confirm this by using this formula to calculate the rate of change, which is: [tex] \frac{y_2 - y_1}{x_2 - x_1} [/tex]

Let,

[tex] C(1, 2) = (x_1, y_1) [/tex]

[tex] D(2, 4) = (x_2, y_2) [/tex]

Plug in the values into the formula:

[tex] = \frac{4 - 2}{2 - 1} = \frac{2}{1} = 2 [/tex]

As we can see, the rate of change between point C and point D is still the same as the rate of change between point A and point B = 2

Answer:

D) 2

Step-by-step explanation:

on edge

Shelby purchases DVDs from a website. Each DVD costs $11, and the shipping and handling fees are $6.95. Shelby is charged a total of $50.95. How many DVDs did she purchase?

Answers

DVD cost , $11 .

Shipping and handling fees , $6.95 .

Total money charged , $50.95 .

Let , total money is T .

So,  

[tex]11x+6.95=T[/tex] ( Here x is number of DVD )

[tex]11x+6.95=50.95\\\\11x=44\\\\x=4[/tex]

Therefore , total number of DVD purchased is 4 .

Hence , this is the required solution .

What is the solution to this linear system? Enter a value in each box to create an ordered pair.

Answers

Answer:

Solution of the system will be (-3, 6).

Step-by-step explanation:

If a system of linear equations have been given in the question then we can find the solution of the linear equations by solving these equation algebraically.

But when a graph of the system of equation have been given solution of the system is the point of intersections Or common points lying on both the lines.

From the given graph,

Coordinates of the common point of both the lines is (-3, 6).

Therefore, solution of the system will be (-3, 6).

Answer:  (-3, 6)

Step-by-step explanation:

you can see where the lines met

I Really need help on this question if anybody can tell me what the answer is that would be nice I only have a few minutes :/

Answers

Answer:uuuu idk

Step-by-step explanation:

Answer:

B or the second answer

Step-by-step explanation:

If you change the denominator for all 4 fractions, then you will get that denominator. After that you will multiply how you got that denominator from the beggining denominator. And that’s how i did it.

If f(x)=4x-1 and g(x)=1-3x. What is the value of f(g(-2))? a) 26 b) -29 c) 25 d) 24

Answers

Answer:

27

Step-by-step explanation:

This isn't one of your answer choices though.

Which term describes this figure?

Answers

Answer:

its a angle

Step-by-step explanation:

What is the decimal expansion of the following fraction?
1/8

Answers

It's 0.125, it's not endless either

Therefore,  the  decimal value is [tex]0.125[/tex] i.e., option (C) is the correct answer.

What is the decimal?

Decimals are an alternative way to represent fractions in Mathematics. Instead of writing [tex]\frac{1}{2}[/tex], for example, you can express a fraction as the decimal [tex]0.5[/tex], where zero is in ones’ place and five is in tenth place.

Here given number is [tex]\frac{1}{8}[/tex] so the decimal value is [tex]0.125[/tex].

Hence, the  decimal value is [tex]0.125[/tex] i.e., option (C) is the correct answer.

To know more about the decimal

https://brainly.com/question/29439603

#SPJ2

lou thinks the expression 27x^3-64 factors to (3x-4) (9x^2+12x+16). is he correct? How can you check his work? Show all work to justify your thinking.

Answers

Answer:

Step-by-step explanation:

(a³ - b³) = (a - b) (a² + ab + b²)

27x³ - 64 = 3³x³ - 4³

               = (3x)³ - 4³   {a = 3x & b= 4)

Substitute in the above formula.

               = (3x -4)([3x]² + 3x*4 + 4²)

              = (3x - 4)(9x² + 12x + 16)

The expression 27x^3-64 factors to (3x-4) (9x^2+12x+16).

help please urgent!!!! 10 points

Answers

Answer:

[See Below]

Step-by-step explanation:

✦ First you need to know the area of a triangle:

  ✧ ½ x b x h

✦ Now write you formula out:

  ✧ ½ x 5 x 4

   

✦ Now just solve:

  ✧ 5 x 4 = 20

  ✧ 20 / ½ = 10

So it'd be 10 m²

~Hope this helps Mate. If you need anything feel free to message me.

This morning, Maria's car had 16.03 gallons of fuel. Now, 2.9 gallons are left. How much fuel did Maria use?

Answers

Answer:

take 16.03 and subtract 2.9

16.03-2.9=13.13

so maria used 13.13 gallons

Step-by-step explanation:

Maria used 13.13 gallons of gas, because the 16.03 gallons she started with minus the 2.9 gallons she had left equals 13.13 gallons. You can check by adding 2.9+13.13 to equal the 16.03 she started with.

15+9=?(5+3) please help

Answers

Answer:

3

because 15 + 9 = 24

and 3(5 + 3) which is 3 * 5 + 3 * 3 = 15 + 9 = 24

= 24 = 24

Step-by-step explanation:

Please mark me as the brainliest

Express 25 to the power of 4x as a power of 5 in terms of x

Answers

Step-by-step explanation:

25^(4x) = (25^4)^x = (5^8)^x = 5^(8x).

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