2x - 5y = 5
x + y =2
Solve the system of equations

Answers

Answer 1

Answer:

[tex]{ \bf{2x - 5y = 5 - - - (a)}} \\ { \bf{x + y = 2 - - - (b)}} \\ (a) - 2(b) : \\ - 7y = 1 \\ y = - \frac{1}{7} \\ x - \frac{1}{7} = 2 \\ x = \frac{15}{7} [/tex]

Answer 2

Answer:

[tex]x = \frac{15}{7} , \ y = - \frac{1}{7}[/tex]

Step-by-step explanation:

2x - 5y = 5  ---------- ( 1 )

 x + y = 2  ------------ ( 2 )

x = 2 - y ---------( 3 )

Substitute x in ( 1 ) :

                         2( 2 - y) - 5y = 5

                             4 - 2y - 5y = 5

                                - 7y = 5 - 4

                                   -7 y = 1

                                       [tex]y =- \frac{1}{7}[/tex]

Substitute y in ( 2 ) :

                         [tex]x + y = 2\\\\x -\frac{1}{7} = 2\\\\x = 2 + \frac{1}{7}\\\\x = \frac{14 + 1}{7}\\\\x = \frac{15}{7}[/tex]


Related Questions

A ladder leans against the side of a house. The angle of elevation of the ladder is 68° when the bottom of the ladder is 16 it from the side of the house. Find the
length of the ladder Round your answer to the nearest tenth.

Answers

Answer:

The length of the ladder  = 6.5077 ft

Step-by-step explanation:

Given A ladder leans against the side of a house

Given the angle of elevation of the ladder is 68° when the bottom of the ladder is 16 ft from the side of the house

Let 'C' be the point of observation.

Given CA= 16 ft

 From right angle triangle

     

     

     x = 16 × cos 68°

    x = 16 × 0.4067

    x = 6.5077

  x = 6.5 ft

The length of the ladder = 6.5 ft

What additional information do you need to prove ∆ABC ≅ ∆DEF by the SSS Postulate?

Answers

Answer:

The first choice AB congruent to DE

Step-by-step explanation:

we already know that the other sides are congruent by looking at the dashes on the side, but there is no indicatation that that Side AB and side DE are congruent

Find the product.
2
1. O x 7 =​

Answers

Answer:

0

Step-by-step explanation:

anything in multiplication that is multipled by 0 is just 0.

Como puedo resolver esta factorización? Factoriza la siguiente expresión sacando el factor común a) 15x2y − 25xy2 + 75x2y2 Ayúdenme por favor

Answers

Answer:

5xy (3x - 5y + 15xy)

Step-by-step explanation:

Ahora, si quiero tomar factores comunes, debo buscar algo que divida todos los términos de la expresión.

Este término que va a dividir todos los términos de la expresión es 5xy

Por lo tanto, para factorizar 15x2y - 25xy2 + 75x2y2

Tengo;

5xy (3x - 5y + 15xy)

THIS IS MULTIPLE CHOICE
The amount that two groups of students spent on snacks in one day is shown in the dot plots below.

Group A
A dot plot titled Group A. A number line going from 0 to 5 labeled Amount in Dollars. There are 0 dots above 0, 5 above 1, 4 above 2, 1 above 3, and 0 above 4 and 5.

Group B
A dot plot titled Group B. A number line going from 0 to 5 labeled Amount in Dollars. There are 0 dots above 0, 3 above 1, 2 above 2, 4 above 3, 0 above 4, and 1 above 5.

Which statements about the measures of center are true? Select three choices.
O The mean for Group A is less than the mean for Group B.
O The median for Group A is less than the median for Group B.
O The mode for Group A is less than the mode for Group B.
O The median for Group A is 2.
O The median for Group B is 3.

Answers

Answer:

A, B, and C

not D or E

Step-by-step explanation:

A: the mean is 1.6 for group A compared to 2.5 of group B

B: the median is 1.5 for group A compared to 2.5 of group B

C: the mode is 3 for A and the mode is 5 for B

therefor, abc :)

The three statements that are true about the measures of the centre are:

The median for Group A is 2.

The median for Group B is 3.

The mode for Group A is less than the mode for Group B.

What are the mode, median, and mean?

We must tally up every dollar spent and divide it by the number of pupils in each group to determine the mean for each group.

The dot plots show that Group A is expected to have a mean that is lower than Group B because Group A has more values that are less than $2, which will lower the average.

Yet, based just on the dot plots, we cannot be certain of the precise values of the means. The claim "The mean for Group A is less than the mean for Group B" is therefore not always accurate.

When the data are organized in order, the median is the middle value. The dot plots show that Group A's median is 2 and Group B's median is 3, respectively. It follows that the claim "The median for Group A is less than the median for Group B" is untrue.

The value that appears the most frequently is the mode. The dot plots demonstrate that Group A has a mode of 1, while Group B has a mode of 3. The adage "The mode for Group A is less than the mode for Group B" is therefore accurate.

To know more about mean, mode, and median follow

https://brainly.com/question/14532771

#SPJ6

can someone please help me with this?

Answers

9514 1404 393

Answer:

  x = 3

Step-by-step explanation:

Tangents to a circle from the same point are the same length.

  43 -2x = 12x +1

  42 = 14x . . . . . . . add 2x-1

  3 = x  . . . . . . . divide by 14

please help marking like brainlist

Answers

Answer:

c

Step-by-step explanation:

5 2/3 * 3/4 = 4 3/12
to find the answer you multiply 5*3 to get 15 you then add 3 to get 17. 17 is your new numerator and 3 stays as the denominator. you then multiply 17 and 3 to get 51. you now multiply the denominators to get 12. 12 goes into 51, 4 times. you get 48. 51-48= 3. so the answer is 4 3/12 hope this helps :)

In circle O shown, chords AB and CD intersect at E such that AE=10 and EB=12. if ED=6 , then which of the following is the length of CD ?
1.) 26
2.) 24
3.) 20
4.) 18

Answers

Answer: 18

Step-by-step explanation:

4 is probably the answer

The radius of the 14 MM what is the circumference of the coin

Answers

Circumference of circle = 2πr

= 2 × 22/7 × 14

= 2 × 22 × 2

= 44 × 2

= 88 mm²

Easyyy!

Given

radius(r)- 15mm

______________

To Find

Circumference of circle.

______________

Solution

We know

Circumference of circle.= 2πr

Solving It

[tex]2 \times \pi \times r \\ \\ = 2 \times \frac{22}{7} \times 14 \\ \\ = 2 \times \frac{22}{ \cancel7} \times \cancel{14} \\ \\ = 2 \times 22 \times 2 \\ \\ = 88mm[/tex]

Hope This Helps You ❤️

9. Here are two expressions with a missing number:
Expression 1: • Expression 2: + 4

Choose the same number to put in both blanks, so that both expressions would result in an irrational answer. You can choose your number from the following list: 3.2, , , and 0.232323... Explain your reasoning. (4 points: 2 points for the answer and 2 points for the explanation)

Answers

Use the sr(3)

All the other options are rational 32/10, 2/3, 23/99.
Multiplying two fractions is always rational.
Adding 4 to a rational number will also be rational.

-3x + 7 = 5x + 4 - 8x


looking for help to answer with work ?

Answers

Answer:

no solutions

Step-by-step explanation:

-3x + 7 = 5x + 4 - 8x

Combine like terms

-3x+7 = -3x+4

Add 3x to each side

-3x+7+3x = -3x+4+3x

7 = 4

This is not a true statement so there are no solutions

THIS MY THIRD TIME POSTING THIS QUESTION PLEASE HELP MEE!!!

Answers

Answer:

From my thinking prospection the answer should be 18....

Write the equation of a line that passes through the point m(2,3) and has slope 1/2.

Answers

Answer:

Step-by-step explanation:

[tex]Equation \ of \ a \ line, (y-y_1)=slope(x-x_1)[/tex]

[tex](x_1, y_1) = (2,3)[/tex]

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

How many four-letter permutations can be formed from the first five letters of the alphabet?

Answers

Answer:

120

Step-by-step explanation:

formula:

[tex]\frac{n!}{(n-h)!}=\frac{5!}{(5-4)!}=120[/tex]

Some one say that if you multiply or divide each side of an inequality by a negative number, the inequality sign changes directions. He give an example: -2x < 6, then x > -3. Is the statement true or false?

Answers

Answer:

True

Step-by-step explanation:

Answer:

Step-by-step explanation:

It is true!

Let's say we subtract 6 from both sides

-2x -6< 0                       Now Let's add 2x to both sides

-2x + 2x - 6 < 0 + 2x

- 6 < 2x                         We did so we would be dividing by a number greater than 0.                         Divide by + 2

-6/2 < 2x / 2

-3 < x                            Notice you still get the open end of the inequality sign closest to the x without changing the direction of the inequality.

Plssssss help I reposted because no one answered my last one please help.

Answers

Answer and Step-by-step explanation:

I think this is the correct answer (in picture):

This is because you can either get Heads or Tails, so once you flip it once, you just flip it again and you will get either heads or tails.

#teamtrees #PAW (Plant And Water)

What is the median?
16342821–2–2

Answers

the mean is 16342817

simplify the following expression into simplest form with all positive exponents

Answers

3.2 x 10 ^5

Hope this helps ;)
3.2 x 10 ^5 hope this is right

HEY BESTIES help me please and thank you 6th grade math


and yall BOZOS better not put no links in here YOU SILLY BOZO MMMM


anywho have a blessed day!

Answers

Answer:

Thanks you to

Step-by-step explanation:

Answer:

kilometers

Step-by-step explanation:

Millimeter - too small

Centimeters - too small

Metres - good for width

Kilometres - good for length

Find all the real fourth roots of 256/2401:

a. 4/7 and 16/49
b. -4/7 and 4/7
c. 4/7, -4/7, 16/49, and -16/49
d. 4/7

Answers

The answer for this problem is d

Hi! can you please help with this

Answers

Answer:

It will be $40.00

Step-by-step explanation:

hope this helps

Answer: it is B

Step-by-step explanation: uhhh do 40 X .25 and uhh there you go yeah that’s right

syd is on a cliff 43 feet above sea level ingrid dove into the sea and took photos of fish at 17 feet below sea level how far apart are syd and ingrid?

Answers

Answer:

60 ft

Step-by-step explanation:

Position of Syd =  +43

Position of Ingrid = - 17

To find the distance between them, add the absolute value

I +43 I + I-17I = 43 + 17 = 60

Answer:

let's take the postion of sea level 0

such that

syds on a cliff 43 ft above sea level

his position = 43 ft

Ingrid is 17 feet below sea level so his position = 17 ft in the opposite direction as that of Syd.

since syd is 43 feet away from sea level, that is 0, and sea level is 17 feet away from Ingrid.

distance between syd and Ingrid = 43 + 17

= 60 ft

What is the constant of proportionality of the fowllowing equation y=4x

Answers

Answer:

4 is the constant in this case.

Which arc is congruent to Arc E H? Arc G H Arc F H Arc G E Arc F G

Answers

Answer: GE

Step-by-step explanation:

uh i just know it’s the answer

Answer:

C. G E

Step-by-step explanation:

If the federal reserve decreases the reserve rate from 10% to 80% how does this affect the amount of money that would result because a fractional reserve banking from an initial deposit into a bank of $40,000

Answers

Answer:

100,000

Step-by-step explanation:

Given :

Initial deposit = 40000

Amount of money = Initial deposit / Reserve rate

When reserve rate = 10% = 0.1

Amount of money = 40000 / 0.1 = 400,000

When reserve rate = 8% = 0.08

Amount of money = 40000 / 0.08 = 500,000

Difference = 500,000 - 400,000 = 100,000

Amount of money will increase by 100,000

Can somebody who knows how to do probability plz help answer these questions correctly thank you! :3

WILL MARK BRAINLIEST WHOEVER ANSWERS THESE :DDD!

Answers

Answer:

Blue: 3/6

Red: 2/6

Green: 1/6

Hope This Helps!

What is the intermediate step in the form (x + a)2 = b as a result of completing the
square for the following equation?

Answers

Answer:

(x+7) to the 2nd power + 9

Step-by-step explanation:

whats the angle of J

Answers

Answer:

<J = 59

Step-by-step explanation:

Since this is an isosceles triangle, <J and <H are the same

The sum of the angles in a triangle are 180

62+ <J + <H =180

62+ <J + <J = 180

62 + 2 <J =180

Subtract 62 from each side

2 < J = 180-62

2 < J = 118

Divide by 2

<J =118/2

<J = 59

Answer:

∠J = 59 °

Step-by-step explanation:

Its two angle is equal so, it is isosceles triangle.

so, ∠J and ∠H are same.

We know that sum of angles of triangle is 180°.

∠J = ∠H .. ( in isosceles triangle two side are equal).

so, ∠J = ∠J

62° + ∠J + ∠ J = 180°

combine like terms

62° + ∠2J = 180°

Subtract 62 from each side

62° - 62° + ∠2J = 180° - 62°

∠2J = 118°

Divide each side by 2

∠2J/2 = 118° / 2

∠J = 59 °

Verification :-

∠J + ∠H + 62° = 180°

59° + 59° + 62° = 180°. .( ∠J =∠H - proved above)

118° + 62° = 180°

180° = 180°

LHS = RHS

Using the complement method, calculate the net price on an invoice amount for
$1,323.50 with a 15% trade discount.

Answers

Answer:

Not completely sure but i think the answer is 1124.975

Step-by-step explanation:

The equation of a function is given.
f(x)=(2x-3)(3x+4)
What is one of the zeros of the function?

Answers

Answer:

3/2 or -4/3

Step-by-step explanation:

2x-3=0, 3x+4=0

x=3/2 or-4/3

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