What is the solution for the following system of equations?
5x + 7y = 3
2x + 3y = 1
O (-1,2)
O (1,-2)
O (-2,1)
O (2,-1)

Answers

Answer 1

Step-by-step explanation:

I recommend you to use matrices for systems of equations; it's a lot faster and more expedient.

What Is The Solution For The Following System Of Equations?5x + 7y = 32x + 3y = 1O (-1,2)O (1,-2)O (-2,1)O
Answer 2

Answer:

[tex](2, -1)[/tex]

Step-by-step explanation:

Given the system of equations:

[tex]\begin{cases}5x+7y=3,\\2x+3y=1\end{cases}[/tex]

Multiply the first equation by -2 and the second equation by 5, then add both equations to solve for [tex]y[/tex]:

[tex]\begin{cases}-2(5x+7y)=(-2)3,\\5(2x+3y)=(5)1\end{cases},\\\begin{cases}-10x-14y=-6,\\10x+15y=5\end{cases},\\-10x+10x-14y+15y=-6+5,\\y=-1[/tex]

Substitute [tex]y=-1[/tex] into any equation to solve for [tex]x[/tex]:

[tex]2x+3y=1,\\2x+3(-1)=1,\\2x-3=1,\\2x=4,\\x=\boxed{2}[/tex]

Therefore, the solution to this system of equations is [tex]\boxed{(2, -1)}[/tex]


Related Questions

John measured two pieces of string. One piece measured 7/12 m and the other measured 4/7 m.

Select the true statement about the lengths of John's string.

Answers

1) 7/12= 0.58, 4/7= 0.57

they are about 1/2

2) 7/12 + 4/7 = 97/84= 1.15 approximately 1

which is 1m from the option

59.73 - 21.876
can u help me​

Answers

Answer:

37.854

Step-by-step explanation:

59.73-21.876=37.854

triangle ABC is similar to triangle JKL match each part of ABC with the corresponding part of JKL

Answers

Answer:

<B = <K

<C = < L

AC= JL

BC= KL

Step-by-step explanation:

The triangles are equel, meaning the letters will be in the same place on a triangle, hope this helps

how. to know if your data is numerical or categorical​

Answers

Answer:

See in details.

Step-by-step explanation:

Categorical data don't have any logical order and it can't be translated into a numerical value.

Numerical data are numbers and they represent some order and value.

Qualitative or categorical data have no logical order, and can't be translated into a numerical value. Eye colour is an example, because 'brown' is not higher or lower than 'blue'. Quantitative or numerical data are numbers, and that way they 'impose' an order. Examples are age, height, weight.

8p²-18p² need help from brainliest​

Answers

Answer:

- 10p2

Step-by-step explanation:

p(8p - 18 p)

p x -10p

ans = -10p2

Answer:  -10p²

This is the same as saying -10p^2

============================================

Explanation:

Both terms 8p² and -18p² are like terms.

We combine them in much the same way as 8-18 = -10, just with a p² attached to everything.

So 8p² - 18p²  = (8-18)p² = -10p²

The coefficient -10 is negative because we're subtracting small minus big. If it was the other way around, then we'd get a positive value.

What is the result if -8ײ +24× divided by -4×

Answers

-4x(2x-6)
-4x+2(x-3)
-4(x+2)(x-3)

did I do this right??

Answers

Answer:

yes.

Step-by-step explanation:

it is correct

Answer: Yes, this is correct.

What is the value of x?

2
3
6
7

Answers

Answer:

x = 2

Step-by-step explanation:

AE is equal to the sum of AB and BE because of segment addition postulate, we can substitute to get AE = 11 + x + 1 = x + 12

DE is equal to the sum of DC and CE because of segment addition postulate, we can substitute to get DE = 1 + x + 4 = x + 5

To solve the problem, we can use power of a point, more specifically exterior secants products scenario. In this case, we can get the equation:

AE * BE = DE * CE

Now, we can substitute and solve:

(x + 12)(x + 1) = (x + 5)(x + 4)

x^2 + 13x + 12 = x^2 + 9x + 20

13x + 12 = 9x + 20

4x + 12 = 20

4x = 8

x = 2

This is correct it would. Be 2 and. The explanation was spot on

How to find the slope of a line passing through (-3,3) , (-5,9)

Answers

Answer:

slope = - 3

Step-by-step explanation:

[tex]slope, m = \frac{y_2 - y_1}{x_2 - x_ 1}[/tex]    ,    [tex][ \ (x_ 1 , y_ 1 ) = ( -3 , 3 ) , \ (x_2 , y _ 2 ) = ( - 5 , 9 ) \ ][/tex]

[tex]slope = \frac{9 - 3}{-4 - ( -3 )} = \frac{6}{-5 + 3} = \frac{6}{-2} = -3[/tex]

Here is some information about a holiday.

7 night holiday
$340 per person
8% discount if you book before 31 March

On 15 February, Naseem books this holiday for 2 people.
Calculate the total cost of his holiday.

Answers

Answer:

$625.6

Step-by-step explanation:

Information about a holiday:

7 night holiday

$340 per person

8% discount if you book before 31 March

Number of people Naseem booked the holiday for = 2

Date of booking of the holiday = February 15

Total cost of the holiday per person = cost per person - discount before March 31

= $340 - 8% of $340

= 340 - 8/100 * 340

= 340 - 0.08 * 340

= 340 - 27.2

= $312.8

Total cost of the holiday for 2 persons = 2 × Total cost of the holiday per person

= 2 * $312.8

= $625.6

samantha recieved $500 as a graduation present and decided to invest it in an account that is compounded continuously. how much will be in the account at the end of 5 years if the interest rate is 3%​

Answers

Answer:

$2,226.20

Step-by-step explanation:

[tex]a_{5}[/tex] = 500e^5(0.03)

I need to draw also no files just type it in and tell me what to draw

Answers

Answer:

Draw 8 boxes with 8 cupcakes in each one of them.

Step-by-step explanation:

34+30=64, and 64/8 also equals 64.

60 PTS PLS ANSWER WILL AWARD BRAINLIEST ASAP

Answers

Answer:

9. a) 180 - (55+90) = a

b) a=35 degrees

10. a) 2w + 3w + 40 = 180

b) w=28

c) 2w=56      3w=84

Step-by-step explanation:

Answer:

the person above is 100% right trust me :)

Step-by-step explanation:

At which angle will the hexagon rotate so that it maps
onto itself?
O 60°
90°
0 120°
O 180°

Answers

Answer:

60 degress

Step-by-step explanation:

Edgen 2021

60° is the angle at which the hexagon rotate so that it maps onto itself.

What is Polygon?

A polygon is a plane figure made up of line segments connected to form a closed polygonal chain.

When a figure has a rotational symmetry, it maps onto itself under rotation about a point at the centre.

When an hexagon rotate onto itself,the vertices must cover to vertices and from sides to sides.

There are six angles in a hexagon and the sum of the angles is 360°. Therefore, each angle has a measure of 360°/6 is equal to 60°.

Rotating subsequently by 60 degree will rotate a hexagon onto itself. A hexagon has 6 rotations, that is, a hexagon has a rotational symmetry of 6 and at angle 60°, the hexagon will rotate onto itself.

Hence,  60° is the angle at which the hexagon rotate so that it maps

onto itself.

To learn more on Polygons click:

https://brainly.com/question/24464711

#SPJ7

A Sanddune stands 5 feet above sea level the hill is eroding at a rate of 1 foot/ 20 years light wire represent the height of the Sandune after X years which represents the situation

Answers

Answer:

x is equal to 12 which represents the situation

What is the answer and explain why

Answers

Answer:

20

Step-by-step explanation:

Take note of the important information/key words:

60 total ornaments

3 grandchildren

Divide them evenly

Set up an equation:

60 ornaments ÷ 3 grandchildren = ornaments per grandchild

60 ÷ 3 = 20 ornaments per grandchild.

In other words, each grandchild will receive 20 ornaments.

What is the factored form of 3x+24y?

Answers

Answer: the factored form of 3x+24y is 3(x+8y) 3(x+8y)

correct answer will get brainliest.

31.
At noon, the temperature at a mountaintop research center is 11 degrees. Overnight the temperature drops to -19 degrees. Which expression represents how much the temperature changed?

a. |19|

b. |-19|

c. |-30|

d. |-38|

Answers

Answer:

c. |-30|

Step-by-step explanation:

It wants the change from 11 to -19. While normally absolute value is the distance from zero, zero can be shifted. Depending on where you are in learning about absolute value, the midway point can change from zero to, say, 4. This is called a transformation and is typically represented on a graph. Simple answer is that zero is shifted to 11. Therefore, absolute value changes from distance away from zero, to distance away from 11.

I hope this helped :)

I don’t understand this equation please help me

Answers

Answer:

Evaluated, you get 4x^4

Step-by-step explanation:

Differentiated, you get 16x^3

It all depends on what you're looking for, really

The given equation has been solved in the table.
Step
Statement
1
fr – 9 = -13
RO
2
2
31
et – 9 + 9 = -13
+ 9
2
ਤੇ
3
3 = -4
3 2
3
3 .(-4)
2.32
5
6
in which step was the addition property of equality applied?

Answers

Answer:

Step 3

Step-by-step explanation:

PLWASE HELP PLEASE PLEASE

Answers

Answer:

66 in^2

Step-by-step explanation:

Imagine that the figure is a whole square, where the space between is filled in.

Find the area of the imaginary square (l x w):

9 in. x 9 in. = 81 in^2

Lets make that whole square the original figure it used to be (take away the space we “filled in”)

Lets find the area of the space we filled in:

5 in x 3 in= 15 in^2

Subtract the imaginary square’s area by the area of the space that was originally blank:

81 in^2 - 15 in^2 = 66 in^2

66 in^2 IS YOUR FINAL ANSWER, that is the real area of the composite figure you have.

Hope this helps!

PLEASE ANSWER ASAP
expand and simplify the following:
a) (√6+√3)(√6-√3)
b)(√5-√2)(√2+√5)

Answers

Answer:

I've attached the Answer

Step-by-step explanation:

here it is

Answer:

[tex](\sqrt{6}+\sqrt{3})(\sqrt{6}-\sqrt{3})=3[/tex]

[tex](\sqrt{5}-\sqrt{2})(\sqrt{2}+\sqrt{5})=3[/tex]

Step-by-step explanation:

We want to simplify the expression:

[tex](\sqrt{6}+\sqrt{3})(\sqrt{6}-\sqrt{3})[/tex]

Notice that this is the difference of two squares pattern. Namely:

[tex]a^2-b^2=(a+b)(a-b)[/tex]

If we let a = √6 and b  =√3, we acquire:

[tex](a+b)(a-b)[/tex]

Expand accordingly:

[tex]=a^2-b^2[/tex]

Back-substitute:

[tex]=(\sqrt{6})^2-(\sqrt{3})^2[/tex]

Simplify:

[tex]=6-3=3[/tex]

For the second expression, we have a similar pattern:

[tex](\sqrt{5}-\sqrt{2})(\sqrt{2}+\sqrt{5})[/tex]

We can first rewrite the expression (commutative property):

[tex]=(\sqrt{5}-\sqrt{2})(\sqrt{5}+\sqrt{2})[/tex]

And if we let a = √5 and b = √2:

[tex]=(a-b)(a+b)[/tex]

Expand accordingly:

[tex]=a^2-b^2[/tex]

Back-substitute and simplify:

[tex]=(\sqrt{5})^2-(\sqrt{2})^2=5-2=3[/tex]

Question 1: Given the following expression
6 - 3w – w4
Classify the polynomial
Monomial
Binomial
Trinomial

Answers

The answer is a trinomial because there are 3 expressions

Find the exact arc length of the given arc. show all work and leave terms of pi and reduce your fraction.

Answers

Answer:

20/3pi

Step-by-step explanation:

[tex] \frac{75}{360} \times 2\pi \times 16 \\ = \frac{2400}{360} \pi\\ = \frac{20}{3} \pi\\ = 20.94 \: cm[/tex]

Please give brainliest if it helps


Explain too please !!!!!!!!!!!!!!!!!!

Answers

Answer:

4th Option isn't a function

Step-by-step explanation:

it is because a domain can't have two images in the co domain set

Hope it helps

Please mark as brainliest

Answer:

"D" (the fourth one....(7,1),(6,2)....

a "function" is a very specific relationship in math...

for a relationship to be "a function" every possible INPUT (x-values) has to map (correspond) to a UNIQUE output value (Y-value)

a line is a function (all x's have unique y values.

A circle is NOT ..... at the center (x-value) there are two y values (one above and one below)

in your problem answer "D" the "x-value" "5" has two different "y-values"

3 and 4

Step-by-step explanation:

Help please giving brainly and points! :)​

Answers

Answer:

(8,5):

8 is x-axis

5 is y-axis

(8,5) yeeeeeettttttttttr

Write an in Standard Folm given the following points:
(-2, 6), (9,8)

Answers

Answer:

2/11 x + 70/11

Step-by-step explanation:

Given the coordinate (-2, 6), (9,8), the equation in standard form is of the form y = mx+b

m is the slope = 8-6/9-(-2)

m = 2/11

Get the y-intercept

Substitute m = 2/11 and (-2, 6) into the expression y = mx+b

6 = 2/11(-2)+b

6 = -4/11 + b

b = 6 + 4/11

b = (66+4)/11

b = 70/11

Get the required equation

y = 2/11 x + 70/11

Hence the required equation is 2/11 x + 70/11

Fly the super spy is trying to unravel a secret 3 digit code. Fly knows that the first digit must be an even number, an the last must be an odd number. How many differnt combinatons of the threendigit code exist. ( Note; zeto is counted as an even number)

Answers

Answer:

250

Step-by-step explanation:

Given

[tex]n =3[/tex] --- digit code

[tex]First = Even[/tex]

[tex]Last=Odd[/tex]

Required

The different combination of codes

The set of even number is:

[tex]Even = \{0,2,4,6,8\}[/tex]

The set of odd is:

[tex]Odd = \{1,3,5,7,9\}[/tex]

This means that:

The first can be any of the 5 even digits

The last can be any of the 5 odd digits

Since there is no restriction in selection;

The [tex]second[/tex] can be [tex]any[/tex] of [tex]the[/tex] 10 digits

So, the possible combination (k) is:

[tex]k =5 * 10 * 5[/tex]

[tex]k =250[/tex]

2 extra large chocolate shakes contain 85 ounces of ice cream. How many ounces of ice cream are there in 12 extra large chocolate shakes?

plz show work ​

Answers

Answer:

It will be 1020

Step-by-step explanation:

2 extra large = 85 ounces

multiply by 6 to get to 12 cups

85*12=1020

what is the answer
Which inequality represents the graph?

Answers

Answer:

y ≤ x - 2

Step-by-step explanation:

Using the coordinate points on the graph (0, -2) and (2,0)

The general equation of the line will be y = mx+b

Slope m = 0-(-2)/2-0

m = 2/2

m = 1

From the coordinate (0, -2), this shows that the y intercept is -3

Get the equation

y = 1x + (-2)

y = x - 2

Since the line is a thick line and shaded towards the negative y-axis, the required inequality expression will be y ≤ x - 2

Other Questions
Select ALL of the expressions that are 27 equivalent (equal) to: 27/-3 (Select all that apply.)1.92. -27/33. -27/-34. -3(27)5.-9 (62)(-35)whats the answer What is the pCu of the resulting solution if 20.00 mL of 0.08 M EDTA (H4Y) is added to 15.00 mL of 0.10 M CuSO4 and buffered at pH 10? The Kf for complex CuY2- is 2.21 x 1018 does my dog love me? Unit 4 1. Which of the following actions would be considered substance abuse?A. using stimulants to study for school exams.B. taking an over-the-counter-drug without your doctor's prescription to treat a headache.C. getting a prescription from your doctor for an ear infection.D. All of these choices are correct.________________________2. Which of the following symptoms indicates a psychological dependency?A. developing an irregular heartbeat.B. relying upon marijuana to enjoy a movie.C. suffering from withdrawal headaches.D. None of the choices are correct.________________________3. The leading preventable cause of death in the United States is:A. tobacco useB. drunk drivingC. overdose of prescription drugs.D. illegal drug abuse.__________________________________________4. Snuff and chew are harmful because they:A. contain nicotine.B. increase problems with gum and tooth disease.C. significantly increase the risk of cancers of the mouth, lip, throat, and esophagus.D. All of these choices are correct.__________________________________________5. A person who has Emphysema feels:A. 7 relaxed.B. stimulatedC. suffocatedD. hyperactive__________________________________________6. Binge drinking is consuming:A. five or more drinks at a time for men.B. any form of hard alcohol.C. no more than three drinks per day for men.D. fewer than three drinks per week for women.__________________________________________7. Which of the following choices can speed up how fast alcohol leaves your body's system?A. a cold showerB. coffeeC. walking it offD. None of the choices are correct__________________________________________8. Cirrhosis is:A. an addiction to alcohol.B. cancer of the liver.C. inflammation of the liver.D. scarring of the liver__________________________________________9. At which of the following BAC levels can a person feel effects of the alcohol?A. 0.02B. 0.05C. 0.08D. 0.1__________________________________________10. Alcohol is classified as:A. a suppressant.B. an upper.C. a depressant.D. a stimulant. __________________________________________11. Drug abuse is:A. the consistent misuse of a drug or the use of a drug for something other than what it is intended.B. when a drug is taken by someone for whom it was not prescribed.C. when a drug is used as directed or prescribed for a specific illness or treatment.D. All of these choices are correct.__________________________________________12. Which of the following tips about prescription drugs is not good advice?A. Take medicine in the exact amount and on the same schedule prescribed by your doctor.B. Always tell your doctor about past problems you have had with drugs.C. Keep a daily record of all the drugs you take.D. Stop taking a prescription medicine if you feel better, even if there is left over medication.__________________________________________13. Drug tolerance is when:A. the body reacts negatively to a drug.B. a drug does not produce the same effects over a period of time.C. a person feels physical symptoms if they stop taking a drug.D. a person has a strong craving for a drug.__________________________________________14. Which of the following drugs would be considered a stimulant?A. ValiumB. heroinC. methamphetamineD. aspirin__________________________________________15. Heroin is one of the most addictive examples of:A. narcotics.B. hallucinogens.C. stimulants.D. prescription drugs.__________________________________________16. 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The seagulls on the beach - Uprisings by Nat Turner and Gabriel contributed to Southern states' decisions to a. pass harsh slave laws. b.accept the Missouri Compromise. c. enact Jim Crow laws. d. support the passage of higher tariffs All of the following are examples of fibrous joints except: ________________a. tooth within the maxilla b. skull with the atlas c. radius with the ulna d. frontal bone with the parietal bones Mi giy c 2,1.1018 ion+2 v 1,8.1018electron chy qua tit din n ng. ng knh tit din ca n ng l 2,0 cm. Mt dng in trung bnh qua n l bao nhiu table salt is 42.7% sodium how many grams of salt contain 76 g of sodium Help ASAP What is the solution to this equation? (1/4)^x+1 =32 60.3 60.44 witch one is greater Two stars that are in the same constellation: Amir can run 15 kilometers in one hour. How many kilometers can Amir run per minute?There are 60 minutes in 1 hour.