Solve the system of equations by substitution. x + y = 27 y = 8x​

Answers

Answer 1

Answer: x = 0, y = 0

Step-by-step explanation:

x + y = 27y = 8x

Consider the first equation. Subtract 27y from both sides.

x + y = -27y = 0

Combine y and -27y to get -26y

x - 26x = 0

Consider the second equation. Subtract 8x from both sides.

27y - 8x = 0

To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for the variable in the other equation.

x - 26y = 0, -8x + 27y = 0

Choose one of the equations and solve it for x by isolating x on the left hand side of the equal sign.

x - 26y = 0

Add 26y to both sides of the equation.

x = 26y

Substitute 26y for x in the order equation,

-8x + 27y = 0.

-8 x 26y + 27y = 0

Multiply -8 times 26y

-208y + 27y = 0

Add -208y to 27y

-181y = 0

Divide both sides by -181.

y = 0

Substitute 0 for y in x = 26y. Because the resulting equation contains only one variable, you can solve for x directly.

x = 0


Related Questions

Angle C and angle D are vertical angles with m angle C = -x + 26 and m angle D = 2x - 10.

What is m angle D?

Answers

The answer is m<D=14*

Marco has saved $279 for karate lessons. He bought a uniform for $56 and pays $14 per class. Which inequality represents the number of classes, c, Marco can take and stay within his budget

Answers

Answer:

B.

Step-by-step explanation:

Since the main goal for Marco is to stay under his budget which is 279, it's expected that he would want to spend less than or equal to his budget and that is the point to spend less than our goal of spending limit. If the cost of uniform and the cost of each of his classes are less than how much money he wants to spend, than that is going to still be within his budget even if the equation equals to 279 it is still within his budget anything greater would be consider over spending past his budget. Therefore making all other equations false.

If 120 million roses were sold on Valentine's Day, and 75% of the roses were red, how
many red roses were sold on Valentine's Day?

Answers

Answer:

Step-by-step explanation:

120 million * .75

90 million roses were sold on valentines day

Answer:

there were 90 roses sold on valentines day

Step-by-step explanation:

part=%*whole

p=75%*120

p=90

10 times the sum of half a number x and 4 is 6

Answers

Answer:

-10.4

Step-by-step explanation:

Assume that the number we are looking for is x.

Now, we want to get 10 times the sum of half the number and 6 and equate this expression to 8. Then we can solve for x

step by step

half the number is 0.5x

the sum of half the number and 6 is 0.5x + 6

10 times the sum of half the number and 6 is 10(0.5x +6)

10 times the sum of half the number and 6 equals 8 is 10(0.5x+6) = 8

Now solve for x

10(0.5x + 6) = 8

5x + 60 = 8

5x = 8 - 60

5x = -52

x = -52/5

x = -10.4

ASAPPP!!!
g(x)
5
4
4 3
3+
2
f(x) = 4x - 1
h(x) = cos(x + 211)
-3
12
3/1
- 1
-2
-3
-4
Using complete sentences, explain which function has the greatest y-intercept.

Answers

Answer:

5 9

Step-by-step explanation:

uehfeoierkghlkwehglubn;oruitoetu
help

Answers

Answer:

x = 118/7 or 16.86

Step-by-step explanation:

Assuming these are supplementary like you showed in the picture,

59 + 3 + 7x = 180

subtract 62 from both sides

7x = 118

divide by 7

x = 16.86

If they are complementary, x = 4

I hope this helps!

MATH QUESTION PLS HELP!

Answers

Answer:

4) -14/5

Step-by-step explanation:

Answer is 4 -14/5 !!

The commission earned on the sale of a car can be represented by the equation c(p)= 250+0.02p where c represents the commission and p represents the purchase price of the car.
a) Jack sold two cars last weekend, one for $15,075 and the other for $21,640. Find his total commission.

b) if c(p) = 745.80, find the purchase price of the car.

Answers

Look that up on google because I think it will give you the answer

Why is 1 + (−5) equal to −4?


Because it is 5 units to the right of 1 on a horizontal number line

Because it is 5 units to the left of 0 on a horizontal number line

Because it is 5 units to the right of 0 on a horizontal number line

Because it is 5 units to the left of 1 on a horizontal number lin

Answers

Answer:

because its 5 units to the left on a horizontal number line

Gabriella bought 6 7/14 yards
of red fabric and 7 1/7 of
blue. How much cloth did she
buy in all?

Answers

Answer:

13 9/14

Step-by-step explanation:

Add the blue + red fabric

1. Make the denominator the same

6 7/14 + 7 2/14

2. Add

6 7/14 + 7 2/14 = 13 9/14

Answer:

13 9/14

Step-by-step explanation: You would change 1/7 into 2/14 for a common denominator then add 2/14 and 7/14 and get 9/14 and 6+7=13 so it would be 13 9/14. Plzzzz give me brainliest

Help please in the photo

Answers

Answer:

m = 40

Step-by-step explanation:

The triangle inside the circle has 2 equal sides ( the radii ) of the circle, thus

The base angles are congruent both 50°

The 3 angles on the tangent sum to 180°, so

m + 50 + 90 = 180

m + 140 = 180 ( subtract 140 from both sides )

m = 40

Which is the graph of x - y = 1

Answers

Answer: its is the third one C.)

Step-by-step explanation:

what is the solution for:
x-10= -4x

Answers

Answer:

Step-by-step explanation:

Bringing like terms on one side

-10 = - 4x - x

-10 = - 5x

-10/-5 = x

2 = x

answer pls--
^^

:D
hehe

Answers

Answer:

42.24 in

Step-by-step explanation:

The formula for area is 1/2bh

1/2 x 8.8 x 9.6

use calculator

=42.24

Have a great day!

Answer:

The answer is 42.24

HELP QUICK PLEASE!!! and please explain bc I'm confused.

∠A and ∠B are vertical angles.
If ∠A=8x+14 and ∠B=2x+50, what is m∠B?

Answers

Answer:

Step-by-step explanation:

8x+14=2x=50

6X+14=50

6X=36

X=6

2(6)+50

12+50

Angle B equals 62

i explained it on this sticky note!

Caffenine takes a certain amount of time to leave your system if you drink 3 cups of coffe in the morning the function that represents the amount of caffeine remaining in your body after drinking the coffe is given by g(t)=130(.8346)^t where t is the timein hours. how much caffeine remains in your body after 1 day. how much caffeine remains in your body after 2 days

Answers

Answer:

In 1 day, 1.70

In two days 0.022

Note; Unit was not given in the question, I would have included it

Step-by-step explanation:

Here, we are to calculate the amount of caffeine remaining in the body.

To calculate this, we simply substitute for the number of hours t in the equation.

In one day , we have 24 hours

So our substitution will be t = 24

Hence; for a day;

g(24) = 130(0.8346)^24 = 1.70

For two days, we have t = 48 hours

Thus; g(48) = 130(0.8346)^48 = 0.022

determine which is less expensive per can a 6 pack of soda for 2.20 or a 12 pack of soda for 4.25 explain​

Answers

Answer:

the 12 pack would be cheaper

Step-by-step explanation:

first you would find the price of one can   (2.20/6)=.37 and (4.25/12)=0.354

the cheapest would be the 12 pack

362 equals w times 271
Write the sentence as an equation

Answers

Answer:

362=271w

Step-by-step explanation:

If theres a letter(variable) beside a number it means mutiplication.

Hope this helps!

Solve for y: 3x +y = 12
PLEASE SHOW STEPS.
Brainliest

Answers

Answer:

y=6

Step-by-step explanation:

you can do 3x2 to get 6. 12-6=6  so y can equal 6

BRAINIEST IF RIGHT George and his dad are planning to attend the state fair. An adult ticket is $19.00. The price of an adult ticket is one third the price of a student ticket plus $15.00. Write an equation to determine how much George will pay for a student ticket.


A one thirdx + 19 = 15

B one thirdx + 15 = 19

C one thirdx − 19 = 15

D one thirdx − 15 = 19

Answers

Answer:

1/3x+15=19

Step-by-step explanation:

so B

Answer:

its b

Step-by-step explanation:

you dont know the price if the student tick so it represents x... one third of a student ticket would be one thirdx. after you do that you will have to add the extra 15 dollars to it in order to get the price if 19 dollars per adult ticket.

You just bought a car and need to expand your driveway by pouring more concrete. If the dimensions of the addition are 11ft by 6.5ft how many square feet of concrete do you need to pour?

Answers

(In case it is a rectangle)

Area of rectangle=length multiplied by breadth

=11 multiplied by 6.5= 71.5ft^2

Kenny had a total of 140 minutes to read, do homework, and play video games. he spent x minutes reading. he spent 2(x + 5) minutes doing homework and he spent 25 minutes playing video games. How many minutes did Kenny spent reading?

Answers

Answer:

35 min

Step-by-step explanation:

given that the total time spent is 140min

and that the time spent reading is x minutes

and also that the time spent doing home work is 2(x+5)

the time spent playing video game is 25

the expression for the total time is given as

total = reading +homework +video game

140=x+2(x+5)+25

solving for x we have

140=x+2x+10+25

140=3x+35

140-35=3x

105=3x

x=105/3

x=35

kenny spent 35 min reading

Time spend for reading is 35 minutes

Given that;

Total number of minutes Kenny have = 140 minutes

Time spend for reading = x

Time spend for homework = 2(x + 5) = 2x + 10

Time spend for games = 25 minutes

Find:

Time spend for reading

Computation:

Total number of minutes Kenny have = Time spend for reading + Time spend for homework + Time spend for games

140 = x + 2x + 10 + 25

3x + 35 = 140

3x = 105

x = 105 / 3

x = 35

So,

Time spend for reading = 35 minutes

Learn more:

https://brainly.com/question/23129403?referrer=searchResults

The mapping diagram shows a functional relationship. A mapping diagram shows a relation, using arrows, between domain and range for the following ordered pairs: (negative 1, 0), (0, 3), (3, negative 1), (9, 9). Complete the statement. f(3) is .

Answers

Answer:

-1

Step-by-step explanation:

The value of f(3) is -1.

What is a Mapping Diagram?

A mapping diagram is an image of two circles which shows two values corresponding to each other, such that one is the input value to the function and the other is the output value.

The input value circle represents the domain of the function and the output value circle represents the range of the function.

To check if the mapping diagram shows a function, it is observed that one input value is connected to only one output value.

The input and output value in the mapping diagram is:

(negative 1, 0), (0, 3), (3, negative 1), (9, 9).

The domain of the function is ( -1 , 0 , 3 , 9)

The range of the function is ( 0 , 3 , -1 , 9)

The value of f(3) is the value of function at input value of 3.

f(3) = -1

To know more about Mapping Diagram

https://brainly.com/question/12949831

#SPJ5

Calculate the slope between the points: (4, -9) and (5, 1)
a
m=10
b
m=1/10
с
m=-10
d
m=-1/10

Answers

Answer:

The answer is A- m=10

Step-by-step explanation:

The way to find slope is known as "Rise over Run" meaning the increase of Y over the increase of X. The increase of Y is 10 because 1 - (-9) = 10. The increase of X is 1 because 5 - 4  = 1. 10 over 1, or 10 / 1, equals 10.

Jack plans to buy 2.25 lb of coleslaw at $2.80 per pound. He also wants 2lb of macaroni salad that sells for $3.15 per pound. Jack has a $10 bill in his wallet. Is this enough for the coleslaw and the macaroni? Explain.

Answers

No

2.25 times 2.80 gives the cost for the total coleslaw, which is $6.30
2 times 3.15 gives the cost for the total macaroni salad, which is also $6.30
Add those together and you get $12.60, which is larger than $10, so it is not enough
First, multiply 2.25 by 2.80 to get the cost of the coleslaw, which happens to be $6.30. Then, multiply 3.15 times 2, which would also get $6.30. Last, add $6.30 + $6.30, to get $12.60, which is more than $10, so he doesn’t have enough.

24. Janet and Jack are walking in a two-day event to raise money for charity.
Janet asks a friend for a $7.50 donation, plus $0.10 for each mile she
walks. Jack asks a friend for a $5.50 donation, plus $0.15 for each mile
he walks. At how many miles of walking would Janet and Jack collect the
same amount of money?

Answers

Answer:

40 miles walk

Step-by-step explanation:

Let the miles walked by both of them be x at which money collected by same

for Janet

Fixed donation  asked = $7.50

money asked for walking 1 mile = $0.10

money made by Janet if he walks x miles = x*$0.10 = $0.10x

Total money collected by Janet = Fixed donation  asked + money made by Janet if he walks x miles

Total money collected by Janet =7.50 + 0.10x

For Jack

Fixed donation  asked = $5.50

money asked for walking 1 mile = $0.15

money made by Janet if he walks x miles = x*$0.15 = $0.15x

Total money collected by Jack = Fixed donation  asked + money made by Jack if he walks x miles

Total money collected by Jack =5.50 + 0.15x

we have to find miles at which money collected by both of them be same

and we have decided that it it as x mile walk then

Total money collected by Janet = Total money collected by Jack

7.50 + 0.10x = 5.50 + 0.15x

=> 7.50 - 5.50 = 0.15x - 0.10x

=> 2 = 0.05x

=> x = 2/0.05 = 40

Thus, at 40 miles walk money collected by both of them will be same


[tex]express \: \: \sqrt{48} + \sqrt{108} \: \: in \: \: \: form \: \: of \: \: k \sqrt{6} \\ where \: \: k \: \: is \: \: a \: \: \: surd.[/tex]


pls help me!!​

Answers

the answer: 17.32050...

Answer:

[tex]10 \sqrt{3} [/tex]

Step-by-step explanation:

[tex] \sqrt{48} + \sqrt{108} \: \: in \: \: \: form \: \: of \: \: k \sqrt{6} \\ \sqrt{48} + \sqrt{108} = \sqrt{(4 \times 4 \times 3)} + \sqrt{(9 \times 3 \times 4)} = \\ 4 \sqrt{3} + 6 \sqrt{3} = 10 \sqrt{3} [/tex]

Hadley earned 8 more points on her test than Adam earned. Their points add up to 162. How many points did each student earn ?

Answers

Answer:

Adam - 77 / Holly - 85

Step-by-step explanation:

x + (x + 8) = 162

2x + 8 = 162

2x = 154

x = 77

x = Adam

x + 8 = Holly

Therefore, Adam - 77 / Holly - 85.

There are 19.3 cups of flour in a bag. The chef uses 2.9 cups for making cookies. Then, he uses 1.2 cups of sugar and 5.1 cups of flour for making banana bread. How many cups of flour are left?

Answers

Answer:

10.1

Step-by-step explanation:

19.3-2.9=16.4

16.4-1.2=15.2

15.2-5.1=10.1

so there are 10.1 cups of flower left

Answer:11.3

Step-by-step explanation:

19.3 - 2.9 -5.1= 11.3

You don't subtract the 1.2 cups of sugar because it's only asking about the flour.

The Sum Of Two Numbers Is 18 And Their Difference Is 4

Answers

Answer:

The two numbers are 7 and 11.

[711?  Is this an ad?  ← :)]

Step-by-step explanation:

Let A and B stand for the two numbers.

We are told that:

1)  A+B=18, and

2)  A-B=4

Take the first expression and rearrange to isolate A:

A+B=18

A=18-B

Use this in the second expression:

(18-B)-B=4

-2B = -14

B = 7

From (1) we find A:  

A+B=18

A+7=18

A= 11

If A=11, then B=7 (from A+B=18)

CHECK:

Does A+B=18?

  11 + 7 = 18?  YES

Does A-B=4?

    11 - 7 = 4?  YES

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