What is the solution to the system of linear equations below? 2/5x−y=6 −2x+5y=−30 Select one: A. (-13, 14) B. (-5, -8) C. no solution D. infinitely many solutions

Answers

Answer 1

Answer:

D. Infinitely many solutions

Step-by-step explanation:

[tex]-\frac{2}{5}x-y=6 | -2x+5y=-30[/tex]

1.Since neither equation contains an isolated. However, we can isolate -y in the first equation by adding [tex]\frac{2}{5}x[/tex] to both sides.

Like this: [tex]\frac{2}{5}x-\frac{2}{5}x-y=6-\frac{2}{5}x[/tex]

ending up with [tex]y=6-\frac{2}{5}x[/tex]

2.Now, we can change y to a positive y. By doing so, we divide -y by the entire equation.

Like this [tex]\frac{-y=6-\frac{2}{5}x }{-y}[/tex]

Ending with [tex]y=-6+\frac{2}{5}x[/tex]

3.Now, we can plug the expression [tex]-6+\frac{2}{5}x[/tex] into the second equation as a substitute for y, and solve for x. Then, we can use x to calculate y.

Like this [tex]-2x+5(-6+\frac{2}{5}x)=-30\\ -2x-30+2x=-30\\[/tex]

4. Since -2x+2x would cancel out and leave -30=-30. This is true because we know -30 equals -30 with no variable in sight.


Related Questions

Find the total area for the following composite shape.

A.48 sq m
B.36 sq m
C.84 sq m
D.64 sq m

Answers

Answer:

C. 84

Step-by-step explanation:

To make it easier to find the total area, you should break the shape into two parts, a triangle and a rectangle.

Step 1:

To find the rectangle area we now we have to multiply l * w

In this case, the length is 12 and the width is 4 so 12*4 = 48

Step 2:

To find the area of the triangle you have to do the formula A = 1/2bh where b is the base 12, and h is the height (10-4) 6. So 6*12 = 72 and 72/2 is 36

Step 3:

Last you need to add the area of both the rectangle and the triangle to get the total area of 84 sq meters

Have a good day!!!

A health club charges a $50 initial fee plus $2 for each visit. Moselle has spent a total of $144 at the health club this year . Use an equation to find how many visits she has made

Answers

Answer:

Use these variables to make an equation-

y is the total amount.

$50 is where you start charging(y-intercept, variable b).

x is how many visits Marsha made.

The equation can be in slope-intercept form (y=mx+b)-

$144=$2x+50

Solve for x using inverse operations.

Subtract 50 from both sides-

144-50=2x+50-50

94=2x

Divide 2 from both sides-

94/2=2/2

x=47

Moselle made 47 visits to the health club.

Step-by-step explanation:

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

1. -12 = 12

2. 34 = -34

3. 0 = -0

4. 7 < -8

5. -2 > -4

6. 4 > 0

7. 1 > -1

8. -5 < -2

9. -6 < -3 < -2 < 0

10. -5 < -1 < 2 < 8

11. a. Sapporo, Moscow, Bangor, Barrow

What the other person said ! I agree with them

A jar of olives had a circumference of 11.99 cm. What was the approximate diameter of the jar?
Use 3.14 for π.



A. 3.42 cm
B. 3.62 cm
C. 3.82 cm
D. 3.92 cm

Answers

the answer is c . 3.82
The answer of your question is c


please help!! giving brainlest , please be serious. due in a few minutes thanks!

Answers

The answer is -7

The arrows both point toward the left side, and sine there are seven spaces the arrows are going through, you subtract 7 spaces and get -7

Hope that helps.

-7 should be the answer hope it helps alittle !

Hannah's hair was 18 inches long .Three years later it was 33 inches long. What was the percent increase,to the nearest hundredth, of Hannah's hair length?

Answers

Answer:

54%

Step-by-step explanation:

if you take 18 and divide it by 33 you would get 54

The 83.33 percent increase in Hannah's hair length.

What is the meaning of percentage?

A percentage is a number or ratio expressed as a fraction of 100.

Hannah's hair was 18 inches long

After three years,

it was 33 inches long

[tex]Difference\ (increase\ in\ length) = 33-18=15\ inches[/tex]

[tex]percent\ increase = \dfrac{Increase}{Original\ Number}\times100=\dfrac{15}{18}\times100=83.3333\\\\percent\ increase = 83.33 (nearest\ hundredth)[/tex]

Hence 83.33 % increase in Hannah's hair length after three years.

learn more about percentages:

https://brainly.com/question/14351508

#SPJ2

The percentages that several players on a basketball team score of the team's total number of points are shown. Order the values from least (on top) to greatest (on bottom).
1. 0.125
2. 37.5
3. 1/6
4. 2/9
5. 1/9
(You can use 1.-5. to list that way its easier! Thank you!)

Answers

5, 1, 3, 4, 2 hope that helps

A contractor is tiling your bathroom with one-foot square tiles. How many tiles are needed for the job? PLS HELPPP

Answers

Answer:

Depends on the bathroom

Step-by-step explanation:

Basically since I don't know the bathroom length and width, Ima just cut it down for you.

It is your bathroom area (length*width) divided by the area of the tiles, which is 1*1=1 foot^2(square)

Also it depends on the unit you used for the bathroom, you gotta transfer the unit for the bathroom length and width into feet.

So you should get number for bathroom area with the unit feet square.

HELP ASAP PLZ HELP ME WITH THIS it is about cylinders and stuff with PI but I need help please and thank you very much and showing work will be very amazing if you do THANK YOU :)

Answers

Answer: You have enough information.

Step-by-step explanation:

A=2πrh+2πr² is the formula so you have enough information.

This is all they gave me PLZ HELP

1. Billy's plant is at least 2 inches tall. Graph all the possible heights of the plant.

2. The roots of Billy's plant grew to 3 inches beneath the Earth’s surface. Graph all the possible depths the roots can continue to grow.

Answers

10833 because Albert Einstein went to the moon and back 42000

Happyville received 6.23 mm of rain last year. Busyville received 4.9 inches of rain. What is the difference in rainfall between the two towns? Please, I need the answer ASAP!!

Answers

Answer:

The difference in rainfall between the two towns are 118.23 mm.

Step-by-Step explaination:

At first covert 4.9 inches into millimeters.(You will get 124.46 mm)

Then substact the numbers.( 124.46-6.23) {remember to substract from the greater number}

And you will get the answer. ( Answer: 118.23)

I HOPE THIS WILL HELP YOU!!!

Which equation can be used to find the measure of an angle that is supplementary to ∠EGB? Pls help me!!

Answers

Answer:

Option D is the correct answer

Step-by-step explanation:

[tex] m\angle EGB + m\angle BGF =180\degree [/tex]

(Because both are linear pair angles)

Answer:

D

Step-by-step explanation:

∠EGB + ∠BGF = 180°

Both lines form a 180° angle called ∠EGF.

Hope this helped. Have a great day.

14 + 5 = -5x - 6 (-3x + 15) + 5

Answers

Answer:

x=8

yeah this answer is too short so dont mind this

Answer:

81

i'm truly sorry if this is wrong

Step-by-step explanation:

The original rectangle below has an area of 15 square centimeters. If a scale factor of 2 is used, what is the area of the new rectangle in square centimeters?

A=bh
what's the answer??

Answers

Answer:

60 cen squared.

60 cm sq should be the answer

A grandfather clock was originally priced at $350 but went on sale for 80% off. If Elizabeth bought the grandfather clock and paid 10% sales tax, how much did she pay in total?

Answers

Answer:

105

Step-by-step explanation:

Answer:

$77

Step-by-step explanation:

80% of 350 is 280

it is $280 off so 350-280=70

then the tax, 10% of 70 which is 7

the answer is $77 because 70+7=77

5y-14=2y-2 solve for y and show work plz

Answers

Answer:

y=4

Step-by-step explanation:

Let's solve your equation step-by-step.

5y−14=2y−2

Step 1: Subtract 2y from both sides.

5y−14−2y=2y−2−2y

3y−14=−2

Step 2: Add 14 to both sides.

3y−14+14=−2+14

3y=12

Step 3: Divide both sides by 3.

3y/3=12/3

y=4

Answer:

5y + -14 = 2y + -2

-14 + 5y = 2y + -2

-14 + 5y = -2 + 2y

-14 + 5y = -2 + 2y

-14 + 5y + -2y = -2 + 2y + -2y

5y + -2y = 3y

-14 + 3y = -2 + 2y + -2y

2y + -2y = 0

-14 + 3y = -2 + 0

-14 + 3y = -2

-14 + 14 + 3y = -2 + 14

 -14 + 14 = 0

0 + 3y = -2 + 14

3y = -2 + 14

-2 + 14 = 12

3y = 12

y = 4

If a circular swimming pool is 20 yards across, how big would a pool cover have to be to sit exactly over the surface of the water? (Assume 3.14)

A.31.4 yds
B.3140 yds
C.314 yds
D.40 yds

Answers

3140 yds is the right answer to your question

Please help! Correct answer gets brainliest!

Answers

Answer:

7

Step-by-step explanation:

Answer

61/4 or 6.25

Step-by-step explanation:

I belivie this is correct

do you guys know which coordinates im supposed to graph on here?

Answers

Answer:

SOLVE FOR Y

graph y= 2x + 2

sp graph the points

(0,2) and then (1,4)

connect the points and extend the line.

Step-by-step explanation:

add 2x to both sides

-2x+y=2

+2x     +2x

y= 2+2x

reverse

y= 2x+2

A right Triangle XYZ has Vertices X(−2, −1) and Y(1, 1) and a right angle at Vertex Z.
What could the coordinates for Vertex Z be? Write down two coordinates that could be it.

Answers

Answer:

x(1,4)  Y(2,3)  and Z(5,y)

Step-by-step explanation:

Answer:

x(1,4)  Y(2,3)  and Z(5,y)

Step-by-step explanation:

Drag each scenario to show whether the final result will be greater than the original value, less than the original value, or the same as the original value.

Answers

Answer: this is not possible we need to be able to edit this to do that unless someone comes in and has the mid of albert instien

Step-by-step explanation:

:PLSSSS HELP ME. I DONT UNNDERSTAND THE PROBLEM

Answers

Answer:

the order of operations is 1.parenthesis 2.exponents 3. multiplication 4. divide 5. add 6. subtract

Step-by-step explanation:

start with the top part and figure it out that way then see what they did wrong

meowing at me and my mom got me fired

WILL GIV BRAINLIEST
06.05 Mid-Module Check
Exam History (Resets: 1, Unlocks: 0, Student Resets: 1)
Warning
There is a checkbox at the bottom of the exam form that you MUST check prior to submitting this exam. Failure to do so may cause your work to be lost.
Question 1(Multiple Choice Worth 3 points)
(06.01)

Simplify the expression 43 + 2(3 − 2).

14
16
66
68
Question 2 (Matching Worth 10 points)
(06.02)

Match the verbal expression (term) with its algebraic expression (definition).

Match Term Definition
Some number increased by two A) 2z
A variable decreased by two B) x − 2
Product of an unknown value and two C) y2
Quotient of some number and two D) b + 2
An unknown value squared E) a ÷ 2
Question 3(Multiple Choice Worth 3 points)
(06.04)

What is the value of 6 + 2x when x = 5?

4
13
16
40
Question 4(Multiple Choice Worth 2 points)
(06.01)

If the side lengths of a cube are 14 feet, what is the correct way to write the expression to represent the volume of the cube in exponential form?

143
314
14 ⋅ 3
14 ⋅ 14 ⋅ 14
Question 5(Multiple Choice Worth 2 points)
(06.03)

For the expression 6 − y + 3, determine the coefficient for the variable term.

−1
0
3
6
Question 6 (Essay Worth 6 points)
(06.03)

4(2x + 3) ÷ 5y

From the expression above, provide an example of each of the following: sum, term, product, factor, quotient, and coefficient. If any are not present, write "not present."



Question 7 (Essay Worth 4 points)
(06.04)

4x + 1 over 3y2

What is the value of the expression above when x = 2 and y = 3? You must show all work and calculations to receive full credit.



You must check the box below prior to submitting your exam!

Check this box to indicate you are ready to submit your exam
FDK401.10

Previous QuestionNext Question

Answers

Answer:

3)  16  

4)  14.14.14

7)  1 over 3

Step-by-step explanation:

1)-

2)-

3)6+2*5

  6+10

  16

4)Volume of a cube =[tex]a^{3}[/tex]

                                  14.14.14

5)-

6)-

7)4x + 1 over 3y2

  4*2+1 over 3*[tex]3^{2}[/tex]

   9 over 27

    1 over 3

If a cube edge measurement is quadrupled, what would be the ratio of the surface area of the original cube verse the surface area of the larger cube?

Answers

the answer is…. volume will be 27 times

reason..

old volume ….. x^3

new volume… (3x)^3

i.e. 27* x^3

on dividing , we get the answer 27

           I would appreciate brainliest!

Complete the real-world situation that could be modeled by the equation 140 − 4x = 160 − 8x.


Xavier has $140 in his lunch account. He spends $____for lunch each day. Zack has $____in his lunch account. He spends $____ each day. After how many days will the boys have the same amount of money in their accounts?

HELPPP PLZZZ

Answers

The answer is X=5
Explanation:

John reads an equal number of pages of a book every week. The graph below shows the number of pages of the book left to read, y, after x weeks:

A graph titled John’s Book Reading shows Number of Weeks on the x-axis and Number of Pages Left on the y-axis. The scale on the x-axis shows numbers from 0 to 6 at increments of 1, and the scale on the y-axis shows numbers from 0 to 175 at increments of 25. A straight line joins the ordered pairs 0, 125 and 1, 100 and 2, 75 and 3, 50 and 4, 25 and 5, 0.

HELP ME PLS
Which equation best models the relationship between x and y?

y = −5x + 25
y = −25x + 125
y = −25x + 175
y = −5x + 125

Answers

question two or three probaly 2 because it shows the correct radio

Can someone help me with this? (statistics) (Dot plot) you need to answer I,J,K, and L. Pls help ASAP

Answers

Answer:

K is class A and L is 40%.

Step-by-step explanation:

The measures of the angles of a triangle are shown in the figure below. Solve for x.
(8x-9)°
63°
70°

Answers

Answer:

x = 7

Step-by-step explanation:

(8x - 9)° = 180° - ( 70° + 63° )

8x - 9 = 47

8x = 47 + 9

x = 56 ÷ 8  

x = 7

Answer:

x=7

Step-by-step explanation:

63˚+70˚ = 133˚

180˚ - 133˚ = 47˚

(8x-9)˚ = 47˚

8x7=56

56-9=47˚

Amanda's Jewelry box is the shape of a cube that has 6-inch edges what is the volume of the jewelry box?

Answers

Answer:

So base on the question that describe the Amanda's jewelry box that is in shape of a cube and has a measurement of 6 inch on on its edge, to calculate the volume of the said cube, you must multiply the said number to the power of 3 and with that, the volume would be 216 cubic inches

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

Which number can be inserted in the box to make the given equation true?

Enter the number only.

Answers

Answer:

4

Step-by-step explanation:

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