solve 6x=2y+8, 4x+5y+10=47 by substitution method​

Answers

Answer 1

the value of x= 3

and the value of y=5

Answer 2

Answer:

(x , y) = (3 , 5)

Step-by-step explanation:

       [tex]\begin{cases}6x=2y+8&\\ 4x+5y+10=47&\end{cases}[/tex]

[tex]\Longleftrightarrow \begin{cases}12x=4y+16&\\ 12x+15y+30=141&\end{cases}[/tex]

[tex]\Longleftrightarrow \begin{cases}12x=4y+16&\\ (4y+16)+15y=111&\end{cases}[/tex]

[tex]\Longleftrightarrow \begin{cases}12x=4y+16&\\ 19y+16=111&\end{cases}[/tex]

[tex]\Longleftrightarrow \begin{cases}12x=4y+16&\\ 19y=95&\end{cases}[/tex]

[tex]\Longleftrightarrow \begin{cases}12x=4y+16&\\ y=\frac{95}{19}=5 &\end{cases}[/tex]

[tex]\Longleftrightarrow \begin{cases}12x=20+16=36&\\ y=5 &\end{cases}[/tex]

[tex]\Longleftrightarrow \begin{cases}x=3&\\ y=5 &\end{cases}[/tex]


Related Questions

what are the two correct answers?

Answers

Answer:

y ≥ 1   or   y ≤ -2.4

Explanation:

| 10y + 7 | ≥ 17

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

[tex]\sf {Apply\:absolute\:rule}:\quad \mathrm{If}\:|u|\:\ge \:a,\:a\: > \:0\:\mathrm{then}\:u\:\le \:-a\:\quad \mathrm{or}\quad \:u\:\ge \:a[/tex]

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

10y + 7 ≤ -1710y ≤ -17 - 710y ≤ -24y ≤ -2.4

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

10y + 7 ≥ 1710y ≥ 10y ≥ 1

Help me quickly please, im not good at this kind of math.

Answers

Answer:

*Bottom*

Step-by-step explanation:

so hat is $8.50

gloves are $51

cleats are $85

cleats are $76.50 more than the hat.

Enter the correct answer in the box. Simplify the expression (6^4)^2.

Answers

Answer:

1679616

Step-by-step explanation:

(6^4) = 1296

1296^2 = 1679616

if 1 foot equals 20 feet, 151 feet = ? (scale factor)

Answers

Answer:

3020

Step-by-step explanation:

A manager drew this box-and-whisker plot to represent the weights, in pounds, of the 440 crates the company is shipping.

Box-and-whisker plot ranging from 80 to 180 with ticks at increments of 2.5. Plot defined by points at 84, 99.5, 113, 143, 170.

How many crates weigh more than 99.5 pounds?

Select from the drop-down menu to correctly complete the statement.

About
Choose...
crates weigh more than 99.5 pounds.

Answers

Answer:

330

Step-by-step explanation:

took the test

Answer:

330 is the answer.

Step-by-step explanation:

A solid shape is made by joining two cones.
Each cone has the same radius.
One cone has
slant height = 2 × radius
The other cone has slant height = 3 × radius
The total surface area of the shape is 135. 21 cm²
Curved surface area of a cone = tırl where r is the radius and / is the slant height
Work out the radius. ​

Answers

The surface area of the solid shape is the amount of space on it

The radius of the two cones is 2.93 cm

How to determine the radius?

The given parameters are:

Cone 1: slant height, l = 2rCone 2: slant height, L = 3rSurface area = 135. 21 cm²

The surface area of the shape is calculated using:

T = πr(L + l)

So, we have:

135.21 = πr(2r + 3r)

Evaluate

135.21 = 5πr²

Divide both sides by 5π

r² = 135.21/5π

Evaluate the quotient

r² = 8.61

Take the square root of both sides

r = 2.93

Hence, the radius of the cones is 2.93 cm

Read more about surface area at:

https://brainly.com/question/6613758

A , B , C , D ??????????????????????

Answers

Answer:

3 2/3 cups

Step-by-step explanation:

1 1/3 for one recipe.

2/3 cups for the second recipe.

1 2/3 for the third recipe.

Add all of the amount of cups used to get the total amount of sugar used.

1 1/3 + 2/3 + 1 2/3 = 3 2/3

She used 3 2/3 cups of sugar in all.

hope this helps!! p.s. i really need brainliest :)

Solve the following....
[tex]2(x-3)=2x+4[/tex]

Answers

Answer:

No answer.  The question is not correct.  2x-6 cannot be equal to 2x+4

Step-by-step explanation:

2(x-3) = 2x+4

2x-6 = 2x+4

This can't be true.  2x-6 cannot be equal to 2x+4:

Subtract 2x from both sides and we are left with -6 = 4:  FALSE

Answer:

no solution

Step-by-step explanation:

Taking the LHS and distributing

2(x - 3)2(x) - 2(3)2x - 6

Equating to the RHS

2x - 6 = 2x + 4

On inputting any value for x, this equation will not be correct.

Hence, it has no solution.

I think my brain is messed up right now please help me with this

Answers

Answer:

5 million.

Step-by-step explanation:

1 hundred thousand = 100,000

50 of these  = 5,000,000  (replacing the 1 in 100,000 by 50)

and  this = 5 million.

Alejandro will deposit $1,750 in an account that earns 6.5% simple interest every year. His sister Anallency will deposit $1,675 in an account that earns 7.5% interest compounded annually. The deposits will be made on the same day, and no additional money will be deposited or withdrawn from the accounts. Which sibling will have more money at the end of four years?

Answers

Answer: Anallency

Step-by-step explanation:

First, lets make two equations for both siblings, using the base: SI = P(1 + rt) and CI = P(1 + r/n)^nt

Alejandro = 1750(1 + 0.065[4]) = 1750 + 455 = $2,205

Anallency = 1675(1 + 0.075/1)^4 = $2236.91

After 4 years, Alejandro will have $2,205, and Anallency will have $2236.91

Since $2236.91 > 2,205, Anallency will have more money after 4 years.

Answer:

Anallency will have mor money.

Step-by-step explanation:

Simple Interest:

I = Prt

I = $1750 × 0.065 × 4

I = $455

Total after 4 years: $1750 + $455 = $2205

Compound Interest:

F = P(1 + r/n)^(nt)

F = $1675(1 + 0.075)^(4)

F = $2236.91

Answer: Anallency will have mor money.

select the correct location on the number line which point on the number line represents the approximate volume of a cylinder with a radius of 4 units snd a height of 4 units?

Answers

Answer:

Step-by-step explanation:

Volume = Volume = π r^2 h r^2 h

=  4^2 * 4 * π

= 64π

which is about 64 * 22/7

= 200

which is the 5th point from the left.

Martha can paint a room in 2 hours. Jamie can paint the same room in 6 hours. How long, to the nearest 10th of an hour, will it take them to paint the room together?

Answers

Answer:

0.6 hours or 40 mins

Step-by-step explanation:

1/2 + 1/6 = 2/3

If abcd is also a rhombus, what must be the value of x? 13 15 18 23

Answers

Answer: it’s 13

Step-by-step explanation:

I just took the Unit Test On Edge2022

in which age bracket does the most number of parcitipants fall?​

Answers

The most number of participants fall on the age bracket of 37-39.

hope this helps

Write the equation of the line that passes through the points (-3, -5) and
(-2,-4). Put your answer in fully simplified point-slope form, unless it is a vertical
or horizontal line.

Answers

I did the slope then I found the equation.

Can someone help me with these 3 questions? I need them asap (Test) Screenshots are below! I will give 15 pts!

Answers

Answer:

Pythagorean Theorom: [tex]a^2+b^2=c^2[/tex]

Triangle #1

[tex]21^2+x^2=29^2[/tex]

[tex]x^2=29^2-21^2[/tex]

[tex]x=\sqrt{841-441} =\sqrt{400}=20[/tex]

Triangle #2

[tex]1.6^2+3.0^2=x^2[/tex]

[tex]x=\sqrt{1.6^2+3.0^2}=\sqrt{11.56} =3.4[/tex]

Triangle #3

[tex]x^2+40^2=41^2[/tex]

[tex]x=\sqrt{41^2-40^2}=\sqrt{81} =9[/tex]

I hope this helps!


Which expression represents "eight less
than twice a number"?

Answers

Answer:
The answer is 2n - 8

Answer:

2n-8

Step-by-step explanation:

The expression eight less then twice a number will be shown in the following steps.


First, we tackle the first part of the sentence “Eight less” from here we can derive that there is a -8 in the expression.


Secondly, we can tackle the second part “twice a number” so this would be mean 2 times N, or 2n


From the two steps previously we can the conclude the answer must be 2n-8

If the average annual interest rate is 17.11%, how many months will it take the average American family to pay off their debt of $7,942 if they make a minimum payment of $175 each month and no additional purchases are made? months.

Answers

The payoff period will be 73.56 months if the average annual interest rate is 17.11%, how many months will it take the average American family to pay off their debt of $7,942

What is compound interest?

It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.

We can calculate the compound interest using the below formula:

[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]

Where A = Final amount

          P = Principal amount

          r  = annual rate of interest

          n = how many times interest is compounded per year

          t = How long the money is deposited or borrowed (in years)

We have:

Loan amount = $7942, Monthy pay = $175, Interest rate = 17.11%

After calculating from the payment formula:

The payoff =  6.13 years = 73.56 months

Thus, the payoff period will be 73.56 months if the average annual interest rate is 17.11%, how many months will it take the average American family to pay off their debt of $7,942

Learn more about the compound interest here:

brainly.com/question/26457073

#SPJ1

A. 5
B. 7
C. 2.6
D. 5.5

Answers

Answer:

A  5    is the distance between

Step-by-step explanation:

(-2 -2)^2   +  ( 0-3)^2 = d^2

d = 5

20 points given and brainiest for correct answer

Answers

Answer:

B is correct

I = (5200)(0.06)(2.5)

Step-by-step explanation:

Brainliest would be very much appreciated

Should be the second choice, or
“I = (5200)(0.06)(2.5)”
Because you are trying to find the interest so I = the interest of 5200 and the 6% in a decimals form is 0.06 and times that with the year

GIVING BRAINLEST TO THE PERSON THAT CAN EXPLAIN HOW TO DO THIS THE BEST :)

Answers

Answer:

196 - 49[tex]\pi[/tex]

i hope this helped :)

Step-by-step explanation:

first of all the explaination is to first find the area of the square and then the circle after you have found that you should subtract them and you will get the area of the shaded region.

radius x 2 = the side of the square

7 x 2 = 14

area of square - 14 x 14 = 196 squared

formula of finding the area of the circle - [tex]\pi[/tex]r^2

area of circle - 3.14 x 7 x 7 = 49[tex]\pi[/tex]

so answer simpliefied is 196 - 49[tex]\pi[/tex]

i hope this helped

I have no idea but wish u luck

The mayor wants to know how the people of the city feel about a bottle tax. she sends her staff to a randomly selected block in each of the city's election districts. the staff members interview all the residents on the block that are home that day. what is the population? all the people in the city all the people who live on the block all the people who live on the block and are home that day

Answers

The population is all the people in the city, and sample is all the people who live on the block and are home that day.

What are population and sample?

It is defined as the group of data having the same entity which is related to some problems. The sample is a subset of the population, it is a part of the population.

The mayor wants to know how the people of the city feel about a bottle tax. She sends her staff to a randomly selected block in each of the city's election districts.

According to the definition of the population, we can say that the population is all the people in the city because they are the same entity which have to be tested to know how the people of the city feel about a bottle tax.

If we identify the sample, so the sample is all the people who live on the block and are home when the staff members interview all the resident on the block that are home that day.

Thus, the population is all the people in the city and sample is all the people who live on the block and are home that day.

Learn more about the population and sample here:

brainly.com/question/9295991

Answer:

The mayor wants to know how the people of the city feel about a bottle tax. She sends her staff to a randomly selected block in each of the city's election districts. The staff members interview all the residents on the block that are home that day.

(A) or All the people in the city

the second part (C) or all the people who live on the block and are home that day

Step-by-step explanation:

got it right on edg

Julia T. earns $22.22 per hour. What is her straight time pay for a 36-hour week?

Answers

Answer:  her pay was $799.92

Step-by-step explanation:

multiply the number of hours she worked by her pay per hour:

22.22(36)

= 799.92

Answer:

given:

hours worked=36hours

payment per hour=$22.22

to find:

payment in a week

solution: 22.22×36

=799.92$

ans:her total pay for a 36 hour week is $799.92

How does the graph of f(x) = (x − 1)2 relate to the basic function f(x) = x2?

Answers

Answer:

Shift 1 unit to the right

Step-by-step explanation:

Note: Both functions can not be represented by f(x) and square is missing in basic function.

The given basic function is

The given function is  

So, the given function can be written in the form of basic form as

    ...(1)

The translation is defined as

    .... (2)

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

On comparing (1) and (2), we get

Therefore, graph of f(x) shift 1 unit to the right to get graph of g(x).

Answer: b.)  shift 1 unit to the right

Step-by-step explanation: on edg 2020

How much water does a cube-shaped tank with equal dimensions of 3.3 feet hold?

Answers

We need the volume

Side=a=3.3ft

Volume:-

a³3.3³35.94ft³

To find how much water the cube can hold

   ⇒ must find volume

      ⇒ which is the amount of space that a shape occupies, or

          that is enclosed within the shape

The volume of a cube-shaped tank:

    ⇒ is the length, width, and height multiplied together

       ⇒ since this is a cube, all the side lengths are equal

           ⇒ Volume = (side-length)^3

Based on the information given

  ⇒ side-length is 3.3 feet

Therefore:

  Volume = [tex]3.3^3 = 35.937ft^3[/tex]

Thus the cube-shaped tank can hold 35.937 cubic feet of water

Answer: 35.937 cubic feet of water

Hope that helps!

If CDEF is a kite, CD =15 find CG

Answers

Answer:

Step-by-step explanation:

CD = 15, so we have the hypotenuse.

DF = 18, but we can find a leg by 18/2 which is 9

using our pyth. theorem, 15^2=9^2+CG^2

CG = 12

Hope this helped

Please help just this that's all​

Answers

Answer:

7 × 10⁴ (option D.)

Step-by-step explanation:

Take the missing value as 'x'.

5 × 10³ + x = 7.5 × 10⁴

x = (7.5 × 10⁴) - (5 × 10³)

x = (7.5 × 10000) - (5 × 1000)

x = 75000 - 5000

x = 70000

x = 7 × 10⁴ (option D.)

______

Hope it helps ⚜

given:

[tex]5 \times {10}^{3} + ....... = 7.5 \times {10}^{4} [/tex]

to find:

the true equation

solution:

let the unknown be y

[tex]y = (7.5 \times {10}^{4} ) - (5 \times {10}^{3} )[/tex]

[tex]y = (7.5 \times 10000) - (5 \times 1000)[/tex]

[tex]y = 75000 - 5000[/tex]

[tex]y = 70000[/tex]

[tex]y = 7 \times {10}^{4} [/tex]

therefore, the correct answer is option D

is the theoretical or the experimental probability greater for the coin landing on tails?

Answers

Yo if the skskdid can fit into the then augghhh

Find the equation of the quadratic function with vertex (– 2, – 6) that goes through the point (-4, -18)

Answers

Answer:

y = -3(x+2)^2 - 6

Step-by-step explanation:

y = a(x+2)^2 -6

-18 = a(-2)^2 - 6

-12 = 4a

a = -3

y = -3(x+2)^2 - 6

What is the measure of ∠P ? 
with explanation pls​

Answers

Answer:

80°

Step-by-step explanation:

we know angle R and angle Q are equal cause of the dashes

so

2x+30=6x-10

and then solve

30=4x-10

40=4x

10°=x

since they're equal just plug in X for one

2(10)+30= angle r

50° = angle r

we have two 50° angles and we know every triangle is 180°

so create the formula

angle r + angle q + angle p =180°

fill it in

50° + 50° + p = 180°

so angle p= 80°

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