The system of linear equations -2x+y=8 and -3x-y=7

Answers

Answer 1

Answer: x=-3, y=2

Step-by-step explanation: -2x+y=8 + -3x-y=7 and you get x=-3 then you put that in to x and pick one of the beginning equations i chose to put -3 in to -2(-3)+y=8 and got 6+y=8 then you subtract the 6 on both sides and should get y=2

Answer 2

Answer:

(-3,2)

Step-by-step explanation:

You can solve it by various methods. These two equations can be solved simultaneously or by matrix method, or even by graphing

Simultaneous is easier so lets get started.

1st equation  : [tex]-2x+y=8[/tex]

2nd equation: [tex]-3x-y=7[/tex]

We solve it by using the substitution method which means there are two variables x and y and we substitute one variable in form of another variable.

Like, take the 1st equation

[tex]-2x+y=8\\y=8+2x[/tex]

the equation is arranged in a different manner but its the same thing.

This new equation becomes our new third equation and now we simply put our third equation in our 2nd equation. Like this, take the 2nd equation and substitute it with our 3rd third equation

[tex]-3x-y=7\\-3x-7=y\\-3x-7=8+2x\\-3x-2x=8+7\\-5x=15\\x=-3[/tex]

we get x=-3 and then we put the value of x and in our third equation to get the value of y or we can simply put it in any equation 1st , 2nd , 3rd it will give the same answer. I chose third.

[tex]y=8+2x\\y=8+2(-3)\\y=8-6\\y=2[/tex]

The solution set of our system of linear equations is

(-3,2)


Related Questions

30 POINTS! HELP ME PLZZ I NEED HELP WITH THIS!!!

Answers

Answer:3/12 is greater

Step-by-step explanation:

Since 3/12 and 2/9 have different denominators, you need to find the Least Common Multiple (LCM) of the denominators and then multiply the top and bottom of each fraction by the number of times the denominator goes into the LCM.

According to my calculations, the LCM of the two denominators is 36. Therefore, since 12 goes into 36 a total of 3 times, you would multiply the top and bottom of the first fraction by 3. And since 9 goes into 36 a total of 4 times, you would multiply the top and bottom of the second fraction by 4.

Step #2: Now that the denominators are the same, you can simply compare the numerators to determine which fraction is greater. Since 9 is greater than 8, 9/36 is greater than 8/36. Therefore the 1st entry (3/12) is greater than the 2nd entry (2/9).

please help. you can select a,b,c,d or multiple.

Answers

Answer: b & d

Step-by-step explanation:

These are complex roots because they do not have x-intercepts.

Hope this helps!

What value is missing from the table ?

Answers

Answer:

B

Step-by-step explanation:

f (x) = 8x^4 – 64

Factor completely

Answers

Answer:

8(x^4 - 8)

Step-by-step explanation:

Factor out an 8, since both 8 and 64 are divisible by 8:

f(x) = 8x^4 - 64

f(x) = 8(x^4 - 8)

So, the equation factored completely is 8(x^4 - 8)

Answer:

[tex]\huge\boxed{f(x)=8(x-\sqrt[4]8)(x+\sqrt[4]8)(x^2+2\sqrt2)}[/tex]

[tex]\huge\boxed{f(x)=8(x-2)(x^2+2x+4)}[/tex]

Step-by-step explanation:

[tex]f(x)=8x^4-64\qquad|\text{distribute}\\\\f(x)=8(x^4-8)=8\bigg[(x^2)^2-\left(\sqrt8\right)^2\bigg]\qquad|\text{use}\ (a-b)(a+b)=a^2-b^2\\\\f(x)=8(x^2-\sqrt8)(x^2+\sqrt8)=8\bigg[x^2-\left(\sqrt[4]8\right)^2\bigg](x^2+\sqrt8)\\\\|\text{use}\ (a-b)(a+b)=a^2-b^2\\\\f(x)=8(x-\sqrt[4]8)(x+\sqrt[4]8)(x^2+\sqrt8)\\\\\sqrt8=\sqrt{4\cdot2}=\sqrt4\cdot\sqrt2=2\sqrt2[/tex]

taking into account the correction from the comment

[tex]f(x)=8x^3-64=8(x^3-8)=8(x^3-2^3)\\\\\text{use}\ a^3-b^3=(a-b)(a^2+ab+b^2)\\\\f(x)=8(x-2)(x^2+(x)(2)+2^2)=8(x-2)(x^2+2x+4)[/tex]

If we have a sample of silicon (Si) atoms that has 14 protons, 14 electrons, and 18 neutrons

What is the name of this specific silicon isotope?

silicon-14
silicon-32
silicon-46
silicon-153

Answers

Answer:

Its silicon-32 because if you want to find an isotope, you have to add the number of protons (14) and number of neutrons (18) to get 32 as your total.

Step-by-step explanation:

Hope this helps

Answer:

b

Step-by-step explanation:

edge 2022

A model car is for sale online. The owner discounts the price by 5% each day until it sells. On the third day, the car sells. If the original price of the model car was $40, how much did the car sell for to the nearest cent?




If the original price of the model car was $40, how much did the car sell for to the nearest cent?

Answers

Answer: $34.30

You start off by dividing 40 by 100 and you get 0.4, you then multiply .4 by 95 and you get 38. Then you divide 38 by 100 and get .38, then multiply that by 95 to get 36.1. Then divide 36.1 by 100 and get .361, multiply that by 95 and you get 34.295, round up to get 34.30. Now just add your units to get your answer of $34.30.

WILL GIVE BRAINIEST IF RIGHT :) Andrew solved the following inequality, and his work is shown below:

−4(x + 8) ≤ −2x + 50
−4x − 32 ≤ −2x + 50
−2x − 32 ≤ 50
−2x ≤ 82
x ≤ −41

What mistake did Andrew make in solving the inequality?

A He did not make a mistake.
B When dividing by −2, he did not change the direction of the sign.
C He added 2x to both sides when he should have subtracted.
D He added 32 to both sides when he should have subtracted.

Answers

Answer:

When dividing by −2, he did not change the direction of the sign.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

whenever u divide by a negative number in inequality the sign always changes

42 - 4 < 8 AND 9x + 5 > 23 Solve for x

Answers

Answer:

x>2

Step-by-step explanation:

9x+5>23

9x>23-5

when the five grosses the inequality sign it changes to a negative since it was initially a positive

9x>18

[tex] \frac{9x}{9} > \frac{18}{9} [/tex]

x>2

Help I’m so confused

Answers

Answer:

a

Step-by-step explanation:

90 minutes=1 and a half hour

hour=60 min

answer: A

explanation:
liz and mike both started at 4:15 pm.

mike stopped 90 minutes later. if liz stopped half an hour less than mike, then that means she stopped 60 minutes later. this is because half an hour is 30 and 90-30= 60.

therefore, we would add 60 minutes (or 1 hour because 60 minutes= 1 hour) to when she started, which is 4:15 pm.

4:15 pm + 1 hour = 5:15 pm

On the grid below, which point is located in the quadrant where the x-coordinate is a negative number and the y-coordinate is a positive number?

A coordinate plane is shown. Point A is in quadrant 1, point B is in quadrant 2, point C is in quadrant 3, and point D is in quadrant 4.

A
B
C
D

Answers

Answer:

quadrant 2

Step-by-step explanation:

(-x , +y)

Would be in quadrant 1.

Since it's a Y axis Reflection

Help!

Joe went to a baseball game. The game started at 10:47 AM, and it was 3 hours 31 minutes long. When did the game end?

Answers

Answer:

2:18 PM

Step-by-step explanation:

This is the answer because:

1) First, count 3 hours from 10:47 AM. 10:47 - 11:47, 11:47 - 12:47, 12:47 - 1:47. We will end up with 1:47 PM.

2) Next, just add 31 minutes. In order to get 2:00 PM, we have to add 13 minutes, therefore, subtract 13 from 31, this is 18.

3) Finally, add 18 to 2:00, which is just 2:18 PM.

Hope this helps! :D

Answer:

2:18 PM

Step-by-step explanation:

You would start at 10:47 AM, then 3 hours and 31 minutes would pass by. The way I solved this was but adding the hours (10 + 3) and minutes (47 + 31) separatley. You would end up with 13 and 78. You would want to subtract 78 by 60 because 78 is higher than an hour, after that you would end up with 18 and 13:00 is 1:00 PM/AM and you just subtracted 60 from 78 so you would add 1 more hour to 1:00 PM so you would get 2:00 PM. After that, you would end up with 2:18 PM.

PLSS!!!! HELP!!! ME I WILL MARK U!!!!

Answers

Answer:

562

Step-by-step explanation:

Plug in the values of x, y, and z provided.

(5(5)-1)^2-2(7)

Solve.

(25-1)^2-14

(24)^2-14

576-14

562

Answer: 562

Step-by-step explanation:

(5x+y)^2-2z

first put in the known values. (5(5)+(-1))^2-2(7)

(25+-1)^2-14

Second, do 25+-1=24

(24)^2-14

Third, do 24 squared

576-14

Subtract

562

HW DUE IN A FEW MINS PLZ HELP ASAPPPPP

Answers

Step-by-step explanation:

sorry for too many pictures and I'm sorry for messing up other question numbers but that's that

hope u get it in time

Please help! This is hard. Its number 2.

Answers

Why is the picture upside down I can’t see it clearly

Answer:

4

Step-by-step explanation:

The ratio is 2 H for 1 O. So, since there is 8 H, there will be half the amount of O atoms or 4 O atoms.

Rewrite each as a rational number
2=
3 1/2 =
.035 =
5.67=

Answers

2/1, 7/2, 7/200, 567/100

To win a contest, the number of beans in a jar has to be guessed within 20 of the actual number. If the number of beans in the jar is 645, which equation can be used to find the minimum and maximum number of beans that will win the contest, and what is the maximum guess that could win?

|x – 645| = 20; maximum guess: 635 beans
|x – 645| = 20; maximum guess: 665 beans
|x – 20| = 645; maximum guess: 635 beans
|x – 20| = 645; maximum guess: 665 beans

Answers

Answer:

B

Step-by-step explanation:

Just took the test on edge 2020

The maximum guess that could win is,

⇒ |x - 645| = 20; the maximum guess is 665.

Therefore, Option b is correct.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Since, We have given the information that the jar has to be guessed within 20

So, the total has to be equal to 20.

Hence, the equation which is the required equation to calculate the minimum and maximum number of beans that will win the contest is,

|x - 645| = 20

When we will remove the modulus we will get two values + and -

So, x = 20 + 645 = 665

And x = 20 - 645 = -625

Hence, the maximum guess is 665.

Therefore, Option b is correct.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ7

PLZ HELP!! ALGEBRA! WILL GIVE U BRAINLIEST!

Answers

Answer:

a. -21 b. 14

Step-by-step explanation:

For a, -3x4=-12, and then -12-9=-21. For b, -1/3x-3=1, and then 1+13=14. Hope it helps!

Answer: A.) -21

               B.) 14

Step-by-step explanation:

f(-3)=x

A.) f(-3) = 4(-3) - 9

           = -12-9

           = - 21

B.) f(-3) = -1/3(-3) + 13

           = 1 + 13

           = 14

Have a nice day good night

Which statement(s) apply to stratified random sampling? Check all that apply.

A) It can provide better estimates than a simple random sample.
B) The researcher needs some knowledge of the population in terms of characteristics relevant to the study.
C) A challenge is that it is necessary to have strata of the same size.
D) Creating strata of similar individuals to sample from reduces variability.
E) It can be difficult to obtain with a very large population.

Answers

Answer:

The correct options are;

A) It can provide better estimates than s simple random sample

B) The researcher needs some knowledge of the population in terms of characteristics relevant to the study

E) Creating strata of similar individuals reduces variability

Step-by-step explanation:

In order to reduce the variance in the population being studied the stratified sampling technique is used which consists of separating the given sample from the population into different strata based on known characteristics and finding out the result of the experiment in each strata. Each strata posses a common or shared attribute such as educational level or total level of income.

The statements that apply to stratified random sampling are;

A) It can provide better estimates than a simple random sample.

B) The researcher needs some knowledge of the population in terms of characteristics relevant to the study.

D) Creating strata of similar individuals to sample from reduces variability.

E) It can be difficult to obtain with a very large population.

Stratified random sampling is a method of sampling from a population that involves dividing the entire population into homogeneous groups that called strata.

The way it is done is that a random sample from each stratum is usually taken in a number that proportional to the size of the stratum if we compare it to the population size.

From the definitions above, the options that apply are, A, B, D and E.

Read more about stratified random sampling at; https://brainly.com/question/1954758

Question 3 50 points

Part A
Describe a relationship that can be modeled by the function represented by the graph, and explain how the function models the relationship.

Answers

Answer:

Part A-

Answer- f(x) is the profit made from selling 'x' number of salads.

Part B-

Question- Identify and interpret the key features of the function in the context of the situation you described in part A.

Answer-

End behavior- As 'x' approaches 25, f(x) approaches 20. As 'x' approaches 1, f(x) approaches 4.

Domain- 1, 4, 9, 16, 25

Range- 4, 8, 12, 16, 20

x and y- intercepts- None

Maximum- 20

Minimum- 4

Step-by-step explanation:

Mark as brainliest please :)

I really need help with these two problems, and yoI help would be much appreciated.

Answers

Answer:

option D is correct answer

I hope my answer is helpful to you

please give me five star rating

400+90+7,000+ blank =7,495

Answers

Answer:

The answer is for this question is 5.

Which of the following is true of the angle measures in the diagram below.

Answers

Answer:

B

Step-by-step explanation:

Answer:

it's B

Step-by-step explanation:

the sum of two interior angle of a triangle are always equal to the degree of the adjoined angle to the 3 angle

sorry i don't know how to explain this better

CAN SOMEONE PLZ HELP ASAP
You can use what you know about coordinates of transformations. You can map figure ABCD onto figure EFGH using two transformations. A rotation faces figure ABCD in the same direction as figure EFGH. Dilation reduces the image.

Answers

Answer:

EFGH

(-1, 1)

(-1, 2)

(2, 2)

(1, 1)

Step-by-step explanation:

if Both rotating in the same way, then EfGH is gonna go the other way. (sorry if its wrong, i'm learning this too)

I need help on this question

Answers

Answer:

alright so after it said 4 count by 4 so 4 8 12 16 18 and until u get to 18 go by 2 i think

If SV is a perpendicular bisector of RT, which statement is true?

Answers

The correct answer is A. :)).

Answer:

The correct answer is A

Step-by-step explanation:

Who has algebra 2 on edge ?

Answers

Answer:

i do, if uu need help hmu

Step-by-step explanation:

Evaluate the expression 4.02 + 3y for x = 5 and y =6

Answers

4.02 + 18 = 22.02
Hope this helps:)

The temperature fell from 0Degrees Fahrenheit to 6 and three-fifthsDegrees Fahrenheit below 0Degrees Fahrenheit in 2 and one-fifth hours. What was the temperature change per hour? -3 Negative 4 and two-fifths 3 4 and two-fifths

Answers

Answer:

the answer is A i think

Step-by-step explanation:

Answer:

your answer is

A. -3

good luck (:

What value is equivalent to (3^6)^3?

Answers

Answer:

1/2 is the simplified fraction for 3/6.

Step-by-step explanation:

im not sure but i think thats it

Answer:

387,420,489

Step-by-step explanation:

First, evaluate what is in the parentheses. This is equivalent to 729. Now take this number, and cube it (or do 729^3). This is equivalent to 387420489.

The ^ symbol means 'to the power of'.

For example, if you want to raise the number 5 to the power of 4, then you would do 5 ^ (to the power of) 4. Also looks like this:  [tex]5^{4}[/tex]

find the least common denominator of 5/2 and 9/10

Answers

Answer:

2

Step-by-step explanation:

Denominator is the bottom number, and this is a multiple of both of the denominators

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