Using either substitution or elimination method, solve the system of equations that consists of 8x+y= -16 and -3x+y=-5 Your solution will be a coordinate of integers. ​

Answers

Answer 1

Answer:

x= -1

y= -8

Step-by-step explanation:

Solve for y in 8x + y = -16

y = -16 - 8x

Substitute y = -16 - 8x into -3x + y = -5

-11x - 16 = -5

Solve for x in -11x - 16 = -5

x = -1

Substitute x = -1 into y = -16 - 8x

y = -8

Therefore,

x= -1

y= -8

Answer 2

Answer:

(-1, -8)

Step-by-step explanation:

SUBSTITUTION METHOD:

8x + y = -16-3x + y = -5

Solve for y in the first equation by subtracting 8x from both sides.

y = -16 - 8x

Substitute this value for y into the second equation.

-3x + (-16 - 8x) = -5

Remove the parentheses and simplify.

-3x - 16 - 8x = -5

Combine like terms.

-11x - 16 = -5

Add 16 both sides of the equation.

-11x = 11

Divide both sides of the equation by -11.

x = -1

Substitute this value for x into either equation (I'm using the first equation).

8(-1) + y = -16

Multiply and simplify.

-8 + y = -16

Add 8 to both sides of the equation.

y = -8

ELIMINATION METHOD:

8x + y = -16-3x + y = -5  

Subtract the second equation from the first equation to "cancel" the y-variable.

11x = -11

Divide both sides of the equation by 11.

x = -1

Substitute this value for x into either equation (I'm using the second equation).

-3(-1) + y = -5

Multiply and simplify.

3 + y = -5

Subtract 3 from both sides of the equation.

y = -8

The solution to this system of equations is (-1, -8).


Related Questions

Here is my house number on Brookview Way. I hope to see you on
Valentine's Day!
CAN SOMEONE HELP ME

Answers

Answer:

54318

Step-by-step explanation:

my teacher told me the numbers are 54,3 and 18

Answer:

dont tell people where you live

Step-by-step explanation:

A tv sells for $300 and is marked down 30%. What is the amount of
the discount and the sale price

Answers

Answer:

the amount of discount is $210

Step-by-step explanation:

30(.30)

90

90 is 30% of 300

subtract:

300-30= 210

Answer:$210

Step-by-step explanation:

pleased help me! I need the question it due today.

Answers

Answer:

7. -21-15g

8. x+3y+7

Step-by-step explanation:

use multiplication for number 7

number 8 is just rearranging the numbers

number 9 is confusing since i don't know if it's a point or another symbol

Si Mark ay nakagawa ng 84 na pirasong cookies. Kung ang mga ito ay kaniyang isisilid sa 7 maliliit na kahon. Ilang
pirasong cookies ang laman ng isang maliit na kahon?
1. lláng cookies ang nagawa ni Mark?
2. Ilang maliliit na kahon ang lalagyan ni Mark?
3. Isulat ang division equation:
4. Isulat ang multiplication sentence.
5. Ilang pirasong cookies ang laman ng isang maliit na kahon?​

Answers

1. Nakagawa siya ng 84 na cookies.
2. Inilagay niya ang mga cookies sa 7 na kahon.
3. 84 ÷ 7 = 12
4. 12 x 7 = 84
5. Ang bawat lalagyan ay may 12 na cookies sa loob nito.

There are 10 socks in a bag. 5 of those socks are blue.

Answers

Answer:

so 1/2 of those socks aren't blue?

Evaluate the following expression

Answers

Answer:

1/64 = 0.015625

Step-by-step explanation:

(1/4)^3

Calculate 1/4 to the power of 3 and get 1/64

1/64

PLEASE HELP ASAP!!
How many lines of symmetry are there in the object pictured above

A. 3
B. 1
C. 0
D. 2

Answers

C. 0 _________________

2(3x+4y+5z) + 4(x-y)​

Answers

Answer:

10x+4y+10z Hope I helped? :')

Steps for answer!

1. Expand by distributing terms.

6x+8y+10z+4(x-y)

2. Expand by distributing terms.

6x+8y+10z+4x-4y

3. Collect like terms.

(6x+4x)+(8y-4y)+10z

4. Simplify.

10x+4y+10z

= 6x+8y+10z+4x-4y
= 10x+4y+10z

Raheem's entire workout consisted of 15 minutes of warm-up exercises, 30 minutes of lifting weights,and 45 minutes on the treadmill.What is the ratio of the number of minutes he lifted weights to the total number of minutes of his entire workout? a. 1:1. b. 1:3. c.1:9. d.3:10

Answers

Answer:

b

Step-by-step explanation:

Time taken for the total workout = 15 + 30 + 45 = 90 minutes

Time taken for lifting weight : total time = 30 : 90

                                                                 = 1 : 3

It the end of the day l need this last one

Answers

The correct answer choice is B

Lunches can be made consisting of exactly one entrée, one drink, and one snack. If all lunch options are equally likely, what is the probability of randomly choosing a lunch that
does not contain the veggie wrap
has milk or water, and
has fruit as the snack.
Write your answer as a percentage, to the nearest percent.

Entrée Chicken Cutlet Veggies Wrap Lasagna
Drink Milk Water Iced Tea
Snack Fruit Chips Jello

%

Answers

Answer:

4/27=14.8%

Step-by-step explanation:

In order to solve this, we have to see first each option possible, there are 2/3 of possibilities that a random Entrée ends up being Chicken Cutlet or Lasagna, then you have again 2/3 chances to get milk or water, and as you only want fruit the chances are 1/3 that you get that.

In order to calculate if this could happen at random we have to multiply all of the odds:

[tex]Probability: \frac{2}{3} *\frac{2}{3} *\frac{1}{3} \\Probability: \frac{2*2*1}{3*3*3} \\Probability: \frac{4}{27}[/tex]

So we know that for every 27 times you pick a lunch at random, 4 times it will not have the Veggie Wrap, contain milk or water, and will have fruit as the snack.

There are 2/3 of possibilities that a random Entrée ends up being Chicken Cutlet or Lasagna, then you have again 2/3 chances to get milk or water, and as you only want fruit the chances are 1/3 that you get that.

We need to now multiply the odds:

2/3x2/3x1/3

2x2x1/3x3x3

4/27

So we know that for every 27 times you pick a lunch at random, 4 times it will not have the Veggie Wrap, contain milk or water, and will have fruit as the snack.

So now we know it is, %15 rounded but 14.8% not rounded.

What is the surface area of the pyramid formed from the net shown here? The triangles are equilateral, and each triangle has a height of 5.2 centimeters. Write your answer rounded to one decimal point and with the correct unit. the base is 6 cm

Answers

Answer:

62.4

Step-by-step explanation:

Before a renovation, a movie theater had 138 seats. After the renovation, the theater has 173 seats. What is the approximate percentage increase of the number of seats in the theater? If necessary, round to the nearest tenth of a pe

Answers

Answer:

17%

Step-by-step explanation:

Anna has fabric that is 1/4 yard long. She needs to cut the fabric into pieces that are 1/8 yard long. How many 1/8 yard long pieces will she have

Answers

Answer:

2

Step-by-step explanation:

1/4= .25

1/8= .125

so 1/4÷ 1/8=2

Use the ruler provided to measure the radius of the circle to the nearest centimeter.
Which measurement is closest to the area of the circle in square centimeters?

Answers

Answer

its B

Step-by-step explanation:

Answer:

43.96 2 cm2

Step-by-step explanation:

Solve this problem 3/4 - (-2/5)=

Answers

Answer:

23/20

Step-by-step explanation:

To subtract the fraction, find LCD and combine.

Answer:

1.15 is the answer ababbasba they making me type so much but the answer is 1.15

what is the value of 4.112-8​

Answers

Answer: -3.888 Step-by-Step Explanation:

I would appreciate it please I need help

Answers

Answer:

B. n + 9

Step-by-step explanation:

Given:

n² + 3n - 54

Let's factorize

n² + 9n - 6n - 54

n(n + 9) -6(n + 9)

(n - 6)(n + 9)

Therefore, out if the options given, n + 9 is the expression of the factor of n² + 3n - 54.

Answer the question quickly please 3y=24

Answers

Answer:

y = 8

Step-by-step explanation:

3y = 24

3y ÷ 3 = 24 ÷ 3

y = 8

Insta: 25k_kem

HELP ASAP IM CONFUsed!!! Thanks!!!

Answers

i think it is 1, 4, 6, and 7, although it looks different from when i learned this unit.

Hey someone pls help the girl out

Answers

Answer:

because one i one is higher than the other, if you look at it

Answer:

Larger

Step-by-step explanation: 6/5= 1.2 so 1.2 would be diametrically larger

Can someone help me please

Answers

Put the letter a & the b , & c and d

help—————————————————

Answers

Answer:

False

Step-by-step explanation:

The range of the function is the set of all possible y values, in our case that would be {5, 6, 8, 13}, there for the range of the function is not {2, 4, 5, 6}, therefore the statement is false.

Sophie found the volume of the figure below by using the steps shown.
A rectangular prism with a length of 28 millimeters, width of 21 millimeters, and height of 4 millimeters. A rectangular pyramid with a base of 28 millimeters by 21 millimeters and height of 26 millimeters.

Total Volume = B h + one-third B h = 4 (21) (28) + one-third (21) (28) (30) = 2,352 + 5,880 = 8,232 cubic millimeters.

What mistake, if any, did Sophie make?
Sophie determined the volume correctly.
Sophie used the wrong formula for the total volume.
Sophie used the wrong height for the pyramid.
Sophie did not apply the order of operatio

Answers

Answer:

(C) Sophie used the wrong height for the pyramid.

Step-by-step explanation:

she should have subtracted 4 from 30 because that was apart of the prism

The total volume is 7448  cubic millimeters. Sophie has made mistake in copying height of pyramid.

What is the volume?

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

Given that, a rectangular prism with a length of 28 millimeters, width of 21 millimeters, and height of 4 millimeters.

Volume of rectangular prism = Length×Width×Height

= 28×21×4

= 2352 cubic millimeters

A rectangular pyramid with a base of 28 millimeters by 21 millimeters and height of 26 millimeters.

Volume of a rectangular pyramid = (lwh)/3

= (28×21×26)/3

= 15288/3

= 5096 cubic millimeters

Total volume = 2352+5096

= 7448  cubic millimeters

Hence, Sophie has made mistake in copying height of pyramid.

To learn more about the volume visit:

https://brainly.com/question/13338592.

#SPJ3

Question 1 options:

3


8


12


2.5

Answers

Answer:

2.5

Step-by-step explanation:

(I'm assuming you're doing this the same way I learned it, if not I'm sorry if it doesn't make sense)

[tex]\frac{2}{x}[/tex]=[tex]\frac{12}{15}[/tex]

Cross multiply

12x=30

Divide

x=2.5

This is just one way to do the problem. An easier way is to simplify the fractions.

[tex]\frac{2}{x}[/tex]=[tex]\frac{4}{5}[/tex]

You can either cross multiply or figure out that 2 is half of four and simply divide 5 by 2 which will also result in 2.5

Brandon’s family is having pizza for dinner tonight. Before knowing he would have to share with the rest of his family, Brandon cut a piece for himself as shown by the diagram. Both of his parents, his sister, and his two brothers will now equally share the remaining pizza. What is the approximate area each one receives?

Answers

Answer:

plz can someone give me the asnwer

Step-by-step explanation:

plz

HELP ME PLEASE! I need this !

Answers

Answer:

Step-by-step explanation:

[tex](3x+7)8x^2\\ \\ 3x(8x^2)+7(8x^2)\\ \\ 24x^3+56x^2[/tex]

Find the value of
25 - 4g when g = -3​

Answers

Answer:

37

Step-by-step explanation:

25-4g

25-4(-3)=37

Answer:

the answer is 13

Step-by-step explanation:

Plug g in

24-4×-3

PEMDAS

4×-3=-12

25-12=13


Express (81^1/4)^3
in simplest radical form.

Answers

Your answer in simplest radical form would be 531441/64

which fraction is equevleint to 5/7

Answers

Answer:

10/14

Step-by-step explanation:

Answer: 10/14

Step-by-step explanation:

Other Questions
Which of the following processes does the body NOT use protein to perform?A.repairing musclesB.producing hormonesC.making hemoglobinD.creating amino acids Qu razones hicieron que se buscar una nueva ruta martima hacia el lejano oriente qu descubrimientos cientficos y tcnicos lo facilitaron 4. Use the two patterns below. What are the first four ordered pairs formed fromcorresponding terms of the two patterns? *Add 4: 0, 4, 8,Add 2: 0, 2, 4, HELLLLLLLLLLPPPPPPPPPPP PLEASE NOW I WILL GIVE BRAINLIEST_BRAINLIEST_BRAINLIEST_BRAINLIEST_BRAINLIEST_BRAINLIEST_BRAINLIEST_BRAINLIEST_BRAINLIEST_BRAINLIEST_BRAINLIEST_BRAINLIEST_BRAINLIEST_BRAINLIEST_BRAINLIEST_BRAINLIEST_BRAINLIEST_BRAINLIEST_BRAINLIEST_BRAINLIEST_BRAINLIEST_BRAINLIEST_BRAINLIEST_BRAINLIEST_BRAINLIEST_BRAINLIEST_BRAINLIEST_BRAINLIEST_BRAINLIEST_BRAINLIEST_BRAINLIEST_BRAINLIEST_BRAINLIEST_BRAINLIEST_BRAINLIEST_BRAINLIEST_BRAINLIEST_BRAINLIEST_BRAINLIEST_BRAINLIEST_ when we have to make economic choices in our lives? In ARST, the measure of T=90, ST = 7.7 feet, and RS = 9.7 feet. Find the measureof R to the nearest degree.9.77.7XTRAnswer:Submit Answer Q1} What is the greatest common factor of 24 and 40? A. 2 B. 6 C. 8 D. 24Q2} Which list shows all the factors of 48? A. 1, 2, 4, 6, 8, 12, 24, 48 B. 1, 2, 3, 4, 6, 8, 9, 12, 16, 24, 48 C. 1, 2, 3, 4, 6, 8, 12, 16, 24, 48 D. 1, 2, 3, 4, 6, 8, 9, 12, 16, 24, 48Q3} What is the greatest common factor of 60, 84 and 72? A. 4 B. 12 C. 24 D. 84Q4} Which list shows all the factors of 36? A. 1, 2, 3, 4, 6, 12, 18, 36 B. 1, 2, 3, 4, 6, 9, 12, 18, 36 C. 1, 2, 3, 4, 5, 9, 12, 18, 36 D. 36, 72, 108, 144, 180Q5} Which list shows all the factors of 54? A. 1, 2, 3, 6, 9, 12, 18, 27, 54 B. 1, 2, 3, 6, 9, 18, 27, 54 C. 1, 2, 3, 6, 9, 18, 54 D. 1, 2, 3, 4, 6, 9, 12, 18, 27, 54plz hury i am on a test 100 points and Brainlyeist Question 10Five numbers are described below.Drag the values described into the correct order from LEAST to GREATEST. Use the number line as needed to help you order the values. Clare estimates that her brother is 4 feet tall. When they get measured at the doctor's office, her brother's actual height is 4 feet, 2 inches. Should Clare's or the doctor's measurement be considered the actual height? What is the area of the composite figure?7 yds;12 yds.18 yds. ammonia gas occupies a volume of 57.9 L at a pressure of 532.4atm. if the pressure were lowered to 256.8atm,what would the new volume be How do you think that wearing personal protective equipment helps to protect us from contracting airborne diseases? Select the correct answer.Which term best completes the sentence?Los criollos eran los descendientes deO A. indgenasB.espaolesOc.mestizosOD. pardos need the answer now will make brainleist What is the volume of the pyramid? Solve for q.7(q + 7) = 5q + 59 Complete the following sentences with the appropriate form of the verb in parentYoLlas preguntas del maestro. (contestar) Triangle XYZ with vertices X (1,-2) Y (3,-5) and Z (4,1) translated 5 units left and 3 units up How many moles are there in 17.6g NaOH? Why do not all rock types contain fossils?Excessive heat and pressure can destroy fossils.Fossils can only be created in certain places around the world.Fossils cannot be created near volcanoes.Fossils are too large to be found in igneous and metamorphic rocks.