Solve the simultaneous equations 2x + y = 5 and 2y = x – 10.

Answers

Answer 1
x = 4
The first equation can be substituted into the second one. It would be: 2(-2x+5)=x-10 and after solving it, x = 4
Answer 2

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The given equations are :

[tex]2x + y = 5[/tex]

[tex]2y = x - 10[/tex]

From the first equation, we get :

[tex]2x + y = 5[/tex]

[tex]y = 5 - 2x[/tex]

now, let's put the value of y as (5 - 2x) in second equation to find the value of x :

[tex]2y = x - 10[/tex]

[tex]2(5 - 2x) = x - 10[/tex]

[tex]10 - 4x = x - 10[/tex]

[tex]5x = 20[/tex]

[tex]x = 4[/tex]

hence, value of x = 4, Plugging the value of x in second equation :

[tex]2y = x - 10[/tex]

[tex]2y = 4 - 10[/tex]

[tex]2y = - 6[/tex]

[tex]y = - 3[/tex]

so, the required values are :

x = 4

y = -3

Related Questions

match the inequality with its graph

Answers

C is the correct solution to your question!

9 - 5n < -4n + 9 or 9n + 4 < 7n - 4

Answers

CORRECT!!!!!!!!!!!!!!!!!!!!!! Okay I’m sorry to say I didn’t have to tell me what I meant lol I was thinking of a friend group that was a good girl lol I just wanted you and me too so I didn’t tell her I didn’t tell anyone

Compare the two expressions using an inequality symbol.PLSSSSS HELP 100 PTS


8×(−2)−(−4)2□ 36÷9+2×5

8

×

(

-

2

)

-

(

-

4

)




36

÷

9

+

2

×

5

Question 2 options:


=



>

Answers

Answer:

<

Step-by-step explanation:

8x-2 - -4x2< 4+10

-16+8<4+10

-8<14

9514 1404 393

Answer:

  8×(−2)−(−4)^2 < 36÷9+2×5

Step-by-step explanation:

The left side expression evaluates as ...

  8×(−2)−(−4)^2

  = 8×(−2) − 16

  = -16 -16

  = -32

__

The right side expression evaluates as ...

  36÷9+2×5

  = 4 + 10

  = 14

__

It should be no mystery that any negative number is less than any positive number:

  -32 < 14

  8×(−2)−(−4)^2 < 36÷9+2×5 . . . . . . . . "less than" symbol is required

please help due today NO LINKS WILL REPORT

Answers

Answer:

Step-by-step explanation:

i think that the answer is a, because the def of natural numbers match's and there all integers.

yolanda's yoga class charges a $20 membership fee and $20 per visit.
write an expression that represents the cost of "x" visits: C=_______
how many visits would it take for the two costs to be the same?
(use your expressions and make them equal to each other and solve)

Answers

The 2 expressions: 10x + 100 and 20x + 20

20x + 20:

20 dollars per visit (20x)  ;  20 dollar fee (20)

10x + 100 = 20x + 20    Subtract 10x from both sides

100 = 10x + 20          Subtract 20 from each side

80 = 10x               Divide by 10

x=8

Two opposite angles of a parallelogram are always

Answers

Answer:

Two opposite angles of a parallelogram are always equal.

Write the value of
[tex]1 - 2 \cos {}^{2} c[/tex]


Answers

Step-by-step explanation:

1-2cos²c.

> (cos²c+sin²c)-2cos²c. (cos²c+sin²c=1)

> cos²c+sin²c-2cos²c

> sin²c-cos²c.

is your correct answer.

hope this helps you.

find abc !!!!!!!! !!!!!

Answers

Answer:

58 degreess

3x+11=4x-5

-3x      -3x

11=x-5

+5   +5

16=x

x=6

3(6)+11

18+11

29

29*2

58

Step-by-step explanation:

Line / is a straight line. What is the measure of ZX?
X°60°

Answers

Answer:

100

A line segment is 180 and if one side of the line is 80 then the other half has to be 100

Step-by-step explanation:

Directions: Evaluate the rational algebraic expressions. Write your answer on your answer sheet. 1. 57 39 4. 2. tryti ;y=-2 ya-1 3. 3-42222 22-58+6 32%3D-3​

Answers

Rational algebraic expressions are expressions that can be represented as a quotient of two polynomials.

The result of the expressions are:

[tex]\mathbf{\frac{5x}{3x - 9} = \frac{20}{3}}[/tex]

[tex]\mathbf{\frac{y^2 + 4y + 1}{y^2- 1} = -1}[/tex]

[tex]\mathbf{(a)\ \frac{5x}{3x - 9};\ x = 4}[/tex]

First, we substitute 4 for x

[tex]\mathbf{\frac{5x}{3x - 9} = \frac{5 \times 4}{3 \times 4 - 9}}[/tex]

Evaluate all products

[tex]\mathbf{\frac{5x}{3x - 9} = \frac{20}{12 - 9}}[/tex]

Subtract

[tex]\mathbf{\frac{5x}{3x - 9} = \frac{20}{3}}[/tex]

[tex]\mathbf{(b)\ \frac{y^2 + 4y + 1}{y^2- 1};\ y =-2}[/tex]

First, we substitute -2 for y

[tex]\mathbf{\frac{y^2 + 4y + 1}{y^2- 1} = \frac{(-2)^2 + 4 \times (-2) + 1}{(-2)^2- 1}}[/tex]

Evaluate all products and exponents

[tex]\mathbf{\frac{y^2 + 4y + 1}{y^2- 1} = \frac{4 -8 + 1}{4- 1}}[/tex]

Subtract

[tex]\mathbf{\frac{y^2 + 4y + 1}{y^2- 1} = \frac{-3}{3}}[/tex]

[tex]\mathbf{\frac{y^2 + 4y + 1}{y^2- 1} = -1}[/tex]

Read more about rational algebraic expressions at:

https://brainly.com/question/21511236

A? B? C? or D? help meeeeee​

Answers

Answer:

b) -5/9

Step-by-step explanation:

yeah-ya.... right?

How do you solve this problem?

Answers

The product of the expressions (1/5 x - 1/4) and (2/3 x + 1) will be 2/15 x² + 1/30 x - 1/4.

What is multiplication?

It is also known as the product. If the object n is given to m times then we just simply multiply them.

The expression is given below.

(1/5 x - 1/4) and (2/3 x + 1)

Then the product of the expressions (1/5 x - 1/4) and (2/3 x + 1) will be

⇒ (1/5 x - 1/4) (2/3 x + 1)

⇒ 2/15 x² + 1/5 x - 1/6 x - 1/4

⇒ 2/15 x² + 1/30 x - 1/4

More about the multiplication link is given below.

https://brainly.com/question/19943359

#SPJ1

Look at the figures. How can you prove the triangles are congruent?
is it
A) ABC= DEF by the SAS postulate

B) It is not possible to determine if the triangles are congruent

C) ABC = DEF by the SSS postulate

Answers

Answer:

SAS

Step-by-step explanation:

AB ≅ DE                                        Given

AC ≅ DE                                         Given

∠ A  and ∠B are right angles        Given

∠A ≅ ∠B                                        All right angles are ≅

Find the slope of the line that passes through (20, -37) and (68, -56).

Answers

i believe it would be -19/48

(1.5x10^-5)+(3.5x10^-2) what is this written in scientific notation??

Answers

Answer:

0.035015x

Step-by-step explanation:

need help pwease...

:D

Answers

Answer: 3/15 - 1/15 = 4/15

Step-by-step explanation: (I'm not 100% sure this is correct lol)

Answer:

3/5 - 1/3 = 9/15 - 5/15 =4/15

Step-by-step explanation:

3/5 - 1/3

times the bottom two by eachother so they become 3/15 and 1/15

but since you times the bottome you have to times the top so it becomes

9/15 - 5/15 = 4/15

PLEASE HELP QUICK :) multiple choice.
Which of the following functions has a factor of x + 9 ?
A: f (x) = x^3 - 8x^2 - 11x + 18
B: f (x) = x^3 + 10x^2 + 7x - 27
C: f (x) x^3 + 10x^2 + 7x - 18
D: f (x) = x^3 - 8x^2 - 11x + 27

Answers

Answer:

C. f(x) = x³ + 10x² + 7x - 18

Step-by-step explanation:

If the function has a factor of x + 9, then the function will have a zero output at x = -9

Lets verify:

A. f(-9) = (-9)³ - 8*(-9)² - 11*(-9) + 18 = -1260, NoB. f(-9) = (-9)³ + 10*(-9)² + 7*(-9) - 27 =  -9, NoC. f(-9) = (-9)³ + 10*(-9)² + 7*(-9) - 18 = 0, YesD. f(-9) = (-9)³ - 8*(-9)² + 11*(-9) + 27 = -1449, No

Work out the area of trapezium ABDE

Answers

Answer:

Use corresponding triangles to get CE value.

[tex] \frac{8}{6} = \frac{ce}{9} [/tex]

CE = 12 cm

Then

DE= 12-8 = 4 cm

To calculate the area,

[tex]( \frac{9 + 6}{2} ) \times 4[/tex]

30 cm^2

help please i need it with explanation

Answers

Answer:

10. x = -23          

Step-by-step explanation:

-3.8x - 5.9x = 223.1

-9.7x = 223.1         (-3.8 minus 5.9)

x = -23    (223.1 divided by -9.7)

Answer:

12. x = 70

Step-by-step explanation:

(-3/5)x - (7/10)x + (1/2)x = -56

-(4/5)x = -56       ( -3/5 minus 7/10 plus 1/2)

x = 70        (-56 divided by -4/5)

IT'S HOMEWORK WHOEVER GIVES ME A GOOD ANSWER I WILL MAKE BRAINLIST. For spirit week at the local high school, students were encouraged to wear their school colors of green and white. 1,200 students wore their school colors while 300 students did not wear their school colors. what is the ratio? write and solve a proportion with ration language.

Answers

Answer:

1200:300

4:1 is the final ratio

10. Name the line three ways.

Answers

Hi there, can you elaborate on your question. I don’t understand

Help me :( please help me

Answers

Answer:

22.84, 5.83

Step-by-step explanation:

Pythagoras theorem states that: a^2+b^2=c^2

So, for red triangle, it will be: 9^2+21^2=b^2

81+441=b^2

522=b^2

square root of 522=b

22.84=b

For purple one,

3^2+5^2=a^2

9+25=a^2

34=a^2

square root of 34=a

5.83=a

help please!!!!!!!!!!

Answers

Answer:

k

Step-by-step explanation:

Term

Coef

SE Coef

T-value

P-Value

Constant

10834

9716

1.12

0.274

Wins

235

119

1.98

0.058

S - 7,377

R

sq - 12.29%

Adj R sq -9.16%

The scatterplot above shows the number of wins and the attendance per game for 30 baseball teams in 2017.

Also shown are the least-squares regression line and computer output.

a) Using the information above, what is the equation of the least-squares regression line?

b) What is the value of the correlation coefficient for the sample?

c) Interpret the slope of the least-squares regression line in context.

Answers

The computer regression output includes the R-squared values, and adjusted R-squared values as well as other important values

a) The equation of the least-squares regression line is [tex]\underline {\hat y = 235 \cdot x + 10835}[/tex]

b) The correlation coefficient for the sample is approximately 0.351

c) The slope gives the increase in the attendance per increase in wins

Reasons:

a) From the computer regression output, we have;

The y-intercept and the slope are given in the Coef column

The y-intercept = 10835

The slope = 235

The equation of the least-squares regression line is therefore

[tex]\underline {\hat y = 235 \cdot x + 10835}[/tex]

b) The square of the correlation coefficient, is given in the table as R-sq = 12.29% = 0.1229

Therefore, the correlation coefficient, r = √(0.1229) ≈ 0.351

The correlation coefficient for the sample, r ≈ 0.351

c) The slope of the least squares regression line indicates that as the number of attending increases by 235 for each increase in wins

Learn more here:

https://brainly.com/question/2456202

Collin spent $34 on a new video game. How much money does he need to earn in order to have a net change of $0?

Answers

Nothing because you can’t gain anything from 0

a steel factory manufactures and sells steel beams

Answers

Answer:

That is very nice. I like steel factory's that manufacture and sell steel beams, they are my favorite!! :]

The question is bland...

And honestly what even is the question?

Step-by-step explanation:

I'll help but explain the question further

what is the sum of the prime numbers of 420 do not repeat any prime factors A 15 B 16 C.17 D. 18 E. 19

Answers

Answer:

C)

Step-by-step explanation:

Prime factorization of 420 = 2 × 2 × 3 × 5 × 7 = 22 × 3 × 5 × 7.

If you take...

2 + 2 + 3 + 5 + 7...

You would get 17.

Hope this helps! :) Good Luck!

-kiniwih426

solve 10x-3(x-7)=x+39

Answers

X=3 bdbdjdjdjjdjdjdjdjfhjfjfjjfjfjfjfjfjjfjfjf

Answer:

[tex]10x-3\left(x-7\right)=x+39[/tex]

[tex]-3\left(x-7\right)[/tex]

[tex]-3x+21[/tex]

[tex]10x-3x+21=x+39[/tex]

** Combine like terms ↓ **

[tex]10x-3x=7x[/tex]

** Subtract 21 from both sides ↓**

[tex]7x+21-21=x+39-21[/tex]

[tex]7x=x+18[/tex]

** Subtract x from both sides ↓ **

[tex]7x-x=x+18-x[/tex]

[tex]6x=18[/tex]

**Divide both sides by 6 ↓*

[tex]\cfrac{6x}{6}=\cfrac{18}{6}[/tex]

[tex]x=3[/tex]

Write and solve an inequality that represents the values of x, in feet.

The perimeter is less than 16 feet.

Answers

Answer:

x < 16 ft

Step-by-step explanation:

Perimeter = x

If it is less than 16, the equation is:

x < 16

-Chetan K


Barry buys a new washing machine.
The value of the washing machine depreciates by 20% each year.
(a)
Barry says 'after 5 years the washing machine will have no value'.
Barry is wrong. Explain why.
Barry wants to work out the value of the machine after 2 years.
(b)
By what single decimal number should Barry multiply the value of the machine when new?

Answers

Answer:

The machine decreases in value by 20% each year.

After 1 year the machine is worth only .8 of its original value.

The machine will only decrease by .2 * (.8 A) in the second year not .2 * A where A is the  original amount.

A1 = .8 A

A2 = .8 A1 = .64 A    value of machine after 2 years

.8 is the value Barry needs when the machine is  new

.8^n never goes to zero

After 10 years   value = .8^10 A = .11  A of its original value

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