Solve the following system by substitution. 7x + 2y = 16 –21x – 6y = 24 What is the solution ?

Answers

Answer 1

Answer:

no solution

Step-by-step explanation:

x=(16-2y)/7

-21*(16-2y)/7-6y=24

-3(16-2y)-6y

-48+6y-6y=24

-48=24

you can't solve for the variables

Answer 2

There is no solution for given system of equations.

System of equations :

The given equations are,

                      [tex]7x+2y=16\\\\x=\frac{16-2y}{7}[/tex]

Another equation is, [tex]-21x-6y=24[/tex]

Substitute value of x in above equation.

               [tex]-21(\frac{16-2y}{7} )-6y=24\\\\-48+6y-6y=24\\\\-48\neq 24[/tex]

Thus, there is no solution for given system of equations.

Learn more about the system of equations here:

https://brainly.com/question/13729904


Related Questions

Richard and Teo have a combined age of 35. Richard is 5 years older than twice​ Teo's age. How old are Richard and​ Teo?

Answers

Answer: Teo is 10 years old and Richard is 25 years old

I need help finding the slope, the Y intercept and the equation for this graph???

Answers

Answer:

Step-by-step explanation:

y intercept is 4

slope is 6/3 is 2

y=2x+4

Write the equation of a line that includes the point (1, 5) and has a slope of 3 in slope-intercept form

Answers

Answer:

y=3x+2

Step-by-step explanation:

y=mx+b

We have our m, which is slope, but we need our y intercept, b.

Substitute your slope, x, and y into the formula and solve for b.

5=3(1)+b

5=3+b

-3 -3

2=b

Now we can plug into equation.

y=3x+2

h(x)=2x+5 k(x)=x+3 find (h(k(x)))

Answers

Answer:

h(k(x)) = 2x + 11

Step-by-step explanation:

Step 1: Define

h(x) = 2x + 5

k(x) = x + 3

h(k(x))

Step 2: Substitute and Evaluate

k(x) = x + 3 = x

h(k(x)) = 2(x + 3) + 5

h(k(x)) = 2x + 6 + 5

h(k(x)) = 2x + 11

what is the total area of the three triangle ?​

Answers

Answer b. 13 square units

The price at an item has been reduced by $3.49. The original price was $66.75. What is the price now?

Answers

Answer:

i need help

Step-by-step explanation:

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$66.75-$3.49=$63.76 is the answer u jus have to subtract

if y= 6 when x= 24, find the value of x when y= 7

Answers

Answer:

x=28

Step-by-step explanation:

the y to x ratio is 1:4 or in other words all you need to do is multiply the y by 4 to get your new x value

-Hope this helps

Answer:

x=28 Hope this helps

                         

What are the first 4 terms use the explicit rule:
f(n)= 3n-1
(show your work)

Answers

Answer:

25811

Step-by-step explanation:

We are given the rule [ f(n) = 3n - 1 ] and n represents the term.

First term:

f(n) = 3n - 1

f(1) = 3(1) - 1

f(1) = 3 - 1

f(-1) = 2

Second term:

f(n) = 3n - 1

f(2) = 3(2) - 1

f(2) = 6 - 1

f(2) = 5

Third term:

f(n) = 3n - 1

f(3) = 3(3) - 1

f(3) = 9 - 1

f(3) = 8

Fourth term:

f(n) = 3n - 1

f(4) = 3(4) - 1

f(4) = 12 - 1

f(4) = 11

As you can see, the common difference is 3.

Best of Luck!

Answer:

2,5,8,11

Step-by-step explanation:

If n=1, 3n-1 =3*1-1 =3-1 =2

If n=2, 3n-1 =3*2-1 =6-1 =5

If n=3, 3n-1 =3*3-1 =9-1 =8

If n=4, 3n-1 =3*4-1 =12-1 =11

Use the graph to evaluate the function.
f(-5) =
y
-8 -6

Answers

Answer:

-4

Step-by-step explanation:

Go to x value of -5 and go down until you touch line.


need this asap please !:)

at a local strawberry farm customers fill a bucket with strawberries. the function f(x)=4x models the cost for the strawberries, where x is the number of pounds of strawberries in
the bucket. a bucket can hold up to 10 pounds of strawberries. which is an appropriate domain of the function?
*answer choices in picture!*

Answers

answer - o<x<10

thank me later

Factor completely x2 − 7x + 18. (1 point)
Prime
(x − 9)(x − 2)
(x − 9)(x + 2)
(x + 9)(x + 2)

Answers

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[tex] {x}^{2} - 7x + 18 = (x - 9)(x + 2) \\ [/tex]

Thus the correct answer is the second one.

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Having chosen to use a survey to obtain descriptive data on consumers and their drink preferences, you now need to decide how to contact consumers. You want to gather a large quantity of data fairly quickly, while not incurring high costs. How will you collect this data?

Answers

Answer:

Telephone interview, emails

Step-by-step explanation:

From the question you are trying To minimize cost in the collection of the survey data. To do this, we can use either phone interviews or emails. Using telephone methods have high rates of response and we can easily gather responses. It also gives an opportunity to answer any question respondents may have. Email surveys gives an opportunity for respondent's to share more sensitive details and also respond at their own time.

Given the two functions below, tell me what type of graphs they are and
how p(x) differs from g(x)

p(x)=8x^2
g(x) = x^2

Answers

Answer:

Step-by-step explanation:

p(x) = 8x^2 is an increasing exponential curbed graph which starts from quadrant 2 , passes through the point (0, 8)  on the y axis and rises steeply to the right.

g(x) = x^2 is a parabola ( shaped like a U) which has a minimum value at (0, 0).

and opens upwards either side of the y-axis. This type of curve is called a parabola.

What is the distance in the map (in centimeters) represents an actual distance of 4 kilometers?

Answers

Answer:

400k four hundred thousand centimeters is 4 kilometers

Please help ASAP!!!! Due in 5

Answers

Answer:Y=2

Step-by-step explanation:

Answer:

y =-1

Step-by-step explanation:

Anyone know how to do??

Answers

Answer:

x = 15°

Step-by-step explanation:

∠2 and ∠4 are same-side interior angles, meaning they add up to 180

2x + 10 + 4x + 80 = 180

Rearrange (collect like terms)

6x = 180 - 80 - 10

6x = 90

x = 15°

Answer:

x = 15

Step-by-step explanation:

∠2 = 2x + 10

∠4 = 4x + 80

∠2 and ∠4 are supplementary angles, this mean ∠2 + ∠4 = 180

2x + 10 + 4x + 80 = 180

combine similar terms: 6x = 180 - 80 - 10

simplify: 6x = 90

solve for x = 90 / 6

               x = 15

A circle is translated 4 units to the right and then reflected over the x-axis. Complete the statement so that it will always be true of the circle at the new location.

The circle at the new location has the original circle.
the same center as
twice the circumference of
half the radius of
the same area as

Answers

Options

The circle at the new location has _____________ the original circle.

- the same center as

- twice the circumference of

- half the radius of

- the same area as

Answer:

the same area as

Step-by-step explanation:

When a circle is translated and reflected, the center of the circle will change; however, its area, circumference, radius and diameter remain the same.

This is so because, translation and reflection only affect the positioning of the circle not the size.

Considering the above analysis, we can conclude that option d answers the question correctly.

Answer:

the same area as

NEED HELP ASAP! 50 POINTS!

The line with slope when m= -4/7 and (0,-11). Use point slope formula, y - yo =m (x - x0)

Answers

y + 12 = -4/7(x - 1.75)

find x

3x
2x+40
x+50
4x

Answers

Answer:

27

Step-by-step explanation:

The sum of all exterior angles of any quadrilateral= 360°

3x+2x+40+x+50+4x = 360°

11x + 90 = 360°

11x = 360 - 90

10x = 270

x = 270/10

x = 27

Two angles of a triangle measure 55° and 20°.
What is the measure of the third angle of the triangle?
A. 15°
B. 90°
C. 105°
D. 2850

Answers

Answer:

C. 105 is the answer

Step-by-step explanation:

Write the equation of the line that passes through the given points.
(0, -3) and (-4,-10)

Answers

Answer: y = (7/4)x - 3

Step-by-step explanation:

m = (-10 - (-3))/(-4 - 0) = -7/(-4) = 7/4

y-intercept = (0, -3)

y = (7/4)x - 3

in a complete sentence describe how much smaller the 3 in 743,857 is than the 3 in 735,957

Answers

Answer:

The 3 in 743,857 is 27,000 less than the 3 in 735,957.

Step-by-step explanation:

in 743,857 the 3 is 3,000

in 735,957 the 3 is 30,000

30,000 - 3,000 = 27,000

Find the value of each power

Answers

Answer:

(20). 256^0 = 1

(21).  10^2 = 100

(22). 4^4 = 256

(23).  3^5 = 243

Step-by-step explanation:

(20). 256^0 = 1

(21).  10^2 = 10*10 = 100

(22). 4^4 = 4*4*4*4 = 256

(23).  3^5 = 3*3*3*3*3 = 243

Explain how to divide an integer by a decimal

Answers

Answer:To divide decimal numbers: Multiply the divisor by as many 10's as necessary until we get a whole number. Remember to multiply the dividend by the same number of 10's.

Step-by-step explanation:

One year Terry had the lowest ERA​ (earned-run average, mean number of runs yielded per nine innings​ pitched) of any male pitcher at his​ school, with an ERA of 2.85 . ​Also, Karla had the lowest ERA of any female pitcher at the school with an ERA of 2.95 . For the​ males, the mean ERA was 4.893 and the standard deviation was 0.949 . For the​ females, the mean ERA was 4.348 and the standard deviation was 0.997 . Find their respective​ z-scores. Which player had the better year relative to their​ peers, Terry or Karla ​? ​(Note: In​ general, the lower the​ ERA, the better the​ pitcher.)

Answers

Answer:

Their respective​ z-scores are:

Thomas : -2.15279

Karla : -1.40221

Which player had the better year relative to their​ peers, Terry or Karla ​? ​

Terry had a better year because he had a lower Era and he was a better pitcher.

Step-by-step explanation:

The formula for calculating a z-score is is z = (x-μ)/σ,

where x is the raw score,

μ is the population mean

σ is the population standard deviation.

any male pitcher at his​ school,

For Thomas:

z = (x-μ)/σ

x = 2.85 μ = 4.893 σ = 0.949.

z = 2.85 - 4.893/0.949

z = -2.15279

For Karla

z = (x-μ)/σ

x = 2.95 μ = 4.348 σ = 0.997.

z = (2.95 - 4.348) /0

z = -1.40221

Their respective​ z-scores are:

Thomas : -2.15279

Karla : -1.40221

Which player had the better year relative to their​ peers, Terry or Karla ​? ​(Note: In​ general, the lower the​ ERA, the better the​ pitcher.)

Terry had a better year because he had a lower Era and he was a better pitcher.

The sum of 4 plus 7 equals 44

Answers

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

First you have to translate it into an understandable equation like this...

[tex]4+7=44[/tex]

You don't have to solve it because it is obvious that 4 and 7 don't add up to 44.

Answer:

Step-by-step explanation:

4+7=44

11=44

11-44 is -33 i guess is what you are looking for?

The equation [BLANK] has no solution.

ANSWERS:

13y+2-2y=10y+3-y

9(3y+7)-2=3(-9y+9)

32.1y+3.1+2.4y-8.2=34.5y-5.1

5(2.2y+3.4)=5(y-2)+6y

Answers

Answer:

5(2.2y+3.4)=5(y-2)+6y has no solution

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The third one down.

32.1y+3.1+2.4y-8.2=34.5y-5.1

Combine like terms

34.5y + 3.1 - 8.2 = 34.5y - 5.1

34.5y - 5.1 = 34.5y - 5.1              y can be anything

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

Remove the brackets from D

11y + 17 = 5y - 10 + 6y

11y + 17 = 11y - 10

This gives 17 = - 10 which of course is nonsense.

D has no solution.

Help!!
Find the difference between and 8/15 and-2/3. Show all calculations in your final answer.

Answers

Answer:

-2/15

Step-by-step explanation:

8/15-2/3

8/15-10/15

-2/15

Common Denominator

Simplify:

3c-5d+5d

Pls

Answers

Answer:

3 c

Step-by-step explanation:

Simplify the following:

5 d - 5 d + 3 c

Hint: | Combine like terms in 5 d - 5 d + 3 c.

5 d - 5 d = 0:

Answer: 3 c

Answer:

3c-10d is the supposed awnser I think

Each year a store decreased the price of a certain model of TV by $35. If the
price in 2001 was $1,950, what was the price in 2009?
Group of answer choices

Answers

Answer:

1,670

Step-by-step explanation:

35 x 8 = 280

1,950 - 280 = 1,670

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