Solve this system of linear equations. Separate
the x- and y-values with a comma.
-2x = 8 - 6y
-15x = 21 - 6y

Answers

Answer 1

Answer:

Your solution is (-1, 1).

Step-by-step explanation:

-2x = 8 - 6y

-15x = 21 - 6y

Let's solve this through elimination.

Right away I can see that our y-values are the same. We want to eliminate one variable at a time, so let's make one of the -6y's a positive by multiplying each term in the equation by -1.

-15x = 21 - 6y

-1(-15x = 21 - 6y)

15x = -21 + 6y

Now we have a new equation in our system.

-2x = 8 - 6y

15x = -21 + 6y

Now, eliminate by performing each action given by the terms.

-2x = 8 - 6y

15x = -21 + 6y

___________

13x = -13

Divide both sides by 13 to isolate x.

x = -1

Now that we know x, plug it back into one of the original equations to find y.

-2x = 8 - 6y

-2(-1) = 8 - 6y

Multiply.

2 = 8 - 6y

Subtract 8 from both sides.

-6 = -6y

Divide both sides by -6.

y = 1

Your solution is (-1, 1).

Check your answer by plugging both values into one of the original equations.

-15x = 21 - 6y

-15(-1) = 21 - 6(1)

Multiply.

15 = 21 - 6

Add 6 to both sides.

15 = 15

Your answer is correct.

Hope this helps!

Answer 2

Answer:

(-1,1)

Step-by-step explanation:

-2x = 8 -6y *

-15x = 21 - 6y

Solve for -6y:

-6y = -8 - 2x *

-15x = 21 - 6y

Substitute the given value of 6y into second equation, you get:

-15x = 21 -8 - 2x

Solving this equation for x gets you:

x = -1

Substitute this value (x = -1) into the equation (-6y = -8 - 2x):

-6y = -8 - 2x (-1)

This provides y:

y = 1


Related Questions

Can someone please help me I will mark u brilliant

Answers

Answer:

The mean is 12.

Step-by-step explanation:

Add all the given numbers

7 + 14 + 15 + 9 + 11 + 14 + 11 + 10 + 17

Which equals to 108

You divide 108 by the total numbers added which in this case is 9.

108/9 = 12

Hope this helps :)

Ohh I did this before the mean is
98 you divide that by 9= 10.88

I fell like your in the same class of me because I had the same test and the it looks like what the teacher gave u

Guys Whats is 4+1037+76 I'll give branliest no calculator no search only brain all of u I eill give brainliest please help me​

Answers

[tex]\huge \pink\star\huge{ \pink{\bold {\underline {\underline {\red{Answer }}}}}} [/tex]

➭Doing it all using mental math

Step 1:

[tex] 1037 + 4 \\ =1041[/tex]

Step 2:

[tex]1041 + 76 \\ = 1117[/tex]

Which of the following set of angle measures represents the measures of the angles of a triangle?​

Answers

We need to see a pic...??

y=25 is a solution to the inequality y−24<16

Answers

Answer:

The answer should be true.y<401<16

Step-by-step explanation:

To solve this inequality, isolate the term of y from one side of the equation.

y-24<16

First, add 24 from both sides.

[tex]\sf{y-24+24<16+24}[/tex]

Solve.

Add.

[tex]\sf{24+16=40}[/tex]

[tex]\large\boxed{y<40}[/tex]

Therefore, the solution is y<40.

y=25 should be subtract by 24 is less than 16.

25-24<16

Solve.

Subtract.

25-24=1

Rewrite the problem down.

1<16

These statements are true.

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{We know that }<\large\text{ is less than and }> \large\text{ is greater than.}[/tex]

[tex]\large\text{If y = 25, then substitute it into the given equation or inequality.}[/tex]

[tex]\mathsf{\underline{25}-24<16}[/tex]

[tex]\mathsf{25-24=\bf 1}[/tex]

[tex]\large\text{16 is \underline{greater than} 1 but 1 is \underline{less than} 16}[/tex]

[tex]\mathsf{1<16}[/tex]

[tex]\boxed{\boxed{\large\text{Therefore, your answer is: \boxed{\mathsf{\bold{1<16}\ \& \ it \ is \bold{\ TRUE}}}}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

What is the value of r, in inches?
7 in.
B
1403
30°
D
21
X

Answers

9514 1404 393

Answer:

  A.  7√3

Step-by-step explanation:

The side length ratios in a 30°-60°-90° triangle are 1 : √3 : 2. Here, the shortest side is 7, and x is the next-longer side.

  x = 7√3

Suppose a person offers to play a game with you. In this game, when you draw a card from a standard 52-card deck, if the card is a face card you win "$2, and if the card is anything else you lose $1". If you agree to play the game, what is your expected gain or loss (in dollars) per game? (Recall that there are 12 face cards in a standard 52-card deck. Round your answer to two decimal places.) $

Answers

Answer:

Your expected loss per game is of $0.31.

Step-by-step explanation:

In a standard 52-card deck, we have that:

There are 12 face cards.

What is your expected gain or loss (in dollars) per game?

12/52 probability of winning $2.

1 - 12/52 = 52/52 - 12/52 = 40/52 probability of losing $1. So

[tex]E = \frac{12}{52}*2 - \frac{40}{52}*1 = \frac{24 - 40}{52} = -\frac{16}{52} = -0.31[/tex]

Negative, so a loss is expected.

Your expected loss per game is of $0.31.

Which numbers are irrational?
-4
5/19
0.573
7/3
Pie
Square root of 11

Answers

The irrational numbers are 5/19, pi and square root of 11

Answer:-4 and 0.573

Step-by-step explanation:

Please help you dont have to do them all

Answers

Answer:

can u zoom into it

Step-by-step explanation:

jannie has 2 liters of orange squash she also has some empty cups One full Beach club holds 30 mL of orange squash jennine files as many cups as possible How much orange squash does janine have after filing as many cups as possible

Answers

Answer:

The question is a bit incorrect as there isnt mentioned how many cups are there.But if you meant how many 30ml cups can Jannie fill it would be 66.66 cups or 67/66 cups .

Step-by-step explanation:

If you would correct your answer I would try my best to give you the brainliest answer.

One radius of a circle is the same length as any other radius of the same
circle.
A. True
B. False

Answers

A. True

In a circle, all radii have the same length. The radius is the distance from the center of the circle to any point on its circumference. Since the center is equidistant from all points on the circumference, all radii will have the same length. Therefore, the statement is true.

Relationships in Figures

Line segment AB is one unit long. If point C cuts AB so that AC = 0.618, what is the ratio of AC to CB?

a. 1
b. 1.618
c. 1.32
d. 1.543

Please select the best answer from the choices provided

Answers

Answer:

B. 1.618

Step-by-step explanation:

I calculated it logically

Which of the following, to the nearest tenth, is a solution of f(x) = g (x) if f (x) = in (x + 5 ) - 1 and g(x) =x^3 - 2x+1
A) 0.5
B) -1.6
C) -2.3
D) 1.9

Answers

Answer:

c

Step-by-step explanation:

Can anyone solve this for me??!

Answers

Answer:
60mi^2
Step by step explanation:

help will give max points and branlisest plls HELP ASAP BY 1230pt thanks ;]

Answers

Answer:

120cm^3

Step-by-step explanation:

List the side lengths from shortest to longest. (20 points)

Answers

Answer:

b, a, c

Step-by-step explanation:'

The side opposite of the smallest angle(50) is always the smallest, which means b is the smallest

Hope this helps!

Answer:

b ,a ,c

Step-by-step explanation:

The side opposite the smallest angle is the shortest

The smallest

x = 180 - 70 -62 = 48

48 is the smallest angle so b is the smallest side

The side opposite the largest angle is the longest side

70 is the largest angle so c is the longest side

b ,a ,c

HELP PLEASE write an equation of the ellipse with foci at (0 ±10) and vertices at (0 ±11)

Answers

The equation of the ellipse with foci at (0 ±10) and vertices at (0 ±11) is [tex]\frac{x^2}{21} + \frac{y^2}{100} = 1[/tex]

How to determine the ellipse equation?

We have:

Vertices = (0, ± 11),

Foci = (0, ± 10)

The vertices and the foci are represented as:

Foci = (0, ± a)

Vertices = (0, ± c)

So, we have:

a = 10

c = 11

The equation of b is calculated using:

b² = c²- a²

So, we have:

b² = 11²- 10²

Evaluate

b² = 21

The equation of the ellipse is then represented as:

[tex]\frac{x^2}{b^2} + \frac{y^2}{a^2} = 1[/tex]

This gives

[tex]\frac{x^2}{21} + \frac{y^2}{10^2} = 1[/tex]

[tex]\frac{x^2}{21} + \frac{y^2}{100} = 1[/tex]

Hence, the equation of the ellipse is [tex]\frac{x^2}{21} + \frac{y^2}{100} = 1[/tex]

Read more about ellipse equations at:

https://brainly.com/question/10411406

#SPJ2

Answer:

x^2/221+Y^2/121=1

Step-by-step explanation:

state if the triangles in each pair are similar. if so state how you know they are similar and complete the similarity statement​

Answers

Answer:

Similar, SSS similarity JKL

Step-by-step explanation:

Use the formula R = log I, where R is the measurement of the Ritchter scale and i is the intensity, to find the Ritchter scale measurement of an earthquake with intensity 24,000,000. NO LINKS!!!

Answers

9514 1404 393

Answer:

  7.4

Step-by-step explanation:

Put the given value into the formula and do the arithmetic.

  R = log(2.4×10^7)

  R ≈ 7.3802 ≈ 7.4

The earthquake is about 7.4 on the Richter scale.

Determine if the following functions are inverses of each other:
f(x) = 7x + 14
g(x) = (1/7)x - 2

Answers

Answer:

both outputs are x so f(x) and g(x) are inverses of each other

Step-by-step explanation:

Answer:

what are the options of answers?

Step-by-step explanation:

h
If the original principal of Jimmy
Christensen's account balance today
is $3,450.00, the balance after 2 years is
$3,485.95, and he made no other deposits,
how much interest did he earn?
A $123.95
B $34.95
C $3,485.95
D$35.95

Answers

It would be C. It’s the most valuable answer to the equation. I did my caclucations

125
Solve for <1.
41 = [?]
21
37°
88°

Answers

Answer:

<1+125=180°{linear pair}

<1=180-125

<1=55

Plz help me well mark brainliest if correct...........???

Answers

Answer:

A. Second Grade

Step-by-step explanation:

f (x)
2x2+72-15
3x2 +13x –10
Horizontal Asymptote- type your answer..

Answers

Answer:

2×2+72-15

=4+72-15

=76-15

=61

3×2+13×-10

=6-130

=-124

A new car is purchased for 15300 dollars. The value of the car depreciates at 14.25% per year. What will the value of the car be, to the nearest cent, after 6 years?

Answers

Answer:

you would have 8 cents

Step-by-step explanation:

:D hope this helps!!

A mathematics textbook has 6 pages of instruction for every 2 pages of practice problems. How many pages of instruction does it have for every page of practice problems? (NO LINKS, IF I SEE A LINK I'LL TAKE IT DOWN

Answers

Answer:

3 pages of instruction for every practice problem

Step-by-step explanation:

Whats 9+10?
Answer the question.

Answers

Answer: 21

Step-by-step explanation: Okay but actually its 19 :)


Help plzzzzz hurry

Answers

Answer:

-9, -5, -4.1, -4

[tex]\\q\leq -4[/tex]

Step-by-step explanation:

I think what you're missing here is that there is a negative sign in front of the q. This means that whatever number you put in for q will be multiplied by negative 1. Positive numbers will become negative, and negative numbers will become positive.

If you substitute 9 for q you will get [tex]-9\geq 4[/tex], which is clearly not true, because -9 is way less than 4.

For writing the equation you divide both sides by -1. When you do this however, you must flip the inequality sign

[tex]-q\geq 4\\q\leq -4[/tex]

the > sign turned into <, and the q and 4 switched signs.

30)
The variable y is directly proportional to the variable x. If y = 12 when x = 14, what is the value of x when y = 747

Answers

Answer:

871.5

Step-by-step explanation:

directly proportional

y = kx

y = 12 when x = 14

12 = k(14)

k = 12/14

k = 6/7

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

what is the value of x when y = 747

747 = (6/7) * x

Multiply both sides by 7/6

747 * 7/6 = x

871.5 = x

convert (-2,2) into equivalent polar coordinates

Answers

(2rad2, 135) is the polar equivalent

how would you move the green shape exactly over the gray shape using the fewest moves? check only necessary moves

Answers

Answer:

C and B

Step-by-step explanation:

The correct answer would be C and B
Other Questions
Which is closest to the volume of this circular cone?A. 452.4 cm3B. 603.2 cm3C. 150.8 cm3D. 1,809.6 cm3 What is the difference between a claim and counterclaim? Provide an example on a topic. Josh is a car salesman. He gets an annual salary of $45,000 plus a commission, C, of $250 for every car he sells. Which equation represents Josh's total annual salary, S?A. S=45,000+250CB.S=45,000250CC. S=45,000C+250D. S=45,000C250 8. Compare the physical set-up of factory and plantation using the following documents: How are theyset up similarly? True or false: nutrients are used to break down oxygen and water to release glucose and carbon dioxide What is not matter in chemistry?? Dont waste answers Its biology The eqution of the diagonal of a parallelogram is 3y=5x +k. The two opposite vertices of a parallelogram are the points (1,-2), (-2,1).Find the value of k Question25 x 19292929292292929929.Good Luck | (41 Points) Find the remaining volume of the cube with the cone removed. A game of chance has a spinner with five equal sized sections. The results of 625 spins are shown below.For which color is the experimental probability closest to the theoretical probability? Use the drop down menus to explain your answer. (Brown,Orange,Yellow,Green,Purple) The experimental probability is (22.72%, 18.88%, 21.92%, 19.52%) and the theoretical probability is (10%, 25%, 20%) For which color is the difference between the theoretical probability and experimental probability greatest? Use the drop down menus to explain your answer.Brown,Green,Yellow,Orange,Purple) The experimental probability is (16.96%, 22.72, 18.88%, 21.92%) and the theoretical probability is (25%, 10%, 20%). 730 is divided between June, Sushil & Fiona so that June gets twice as much as Sushil, and Sushil gets three times as much as Fiona. How much does Sushil get? Solve the equation:3x - 5 = -26 In an all boys school, the heights of the student body are normally distributed with a mean of 70 inches and a standard deviation of 3 inches. What is the probability that a randomly selected student will be shorter than 63 inches tall, to the nearest thousandth? How many molecules are in 5.00 grams of NH3?a 0.294b 0.333C 1.77 x 1023d 6.68 x 1022e 2.00 x 1023 Why might you want to annotate your notes as you record information from sources?A. to provide additional information about the process you used to find sources.B. to begin forming your own ideas about the topic, based on what information you find.C. to teach yourself some new and interesting words used in some of your sources.D. to provide mostly accurate citation information for sources used in your project. Pretend your friend was absent from class today...Write what you would say if you had to explain how and why elements toyour friend. picture is included ! i need help guys please What does this sentence say in English? El hermano de Juan dice "De parte de quin?" Can someone please help me with math.