solve the simultaneous equation
3x + y = 8
x - 3y = 11

Answers

Answer 1

Answer:

x = 7 / 2, y = - 5 / 2

Step-by-step explanation:

3x + y = 8 ------> equation 1

3 ( 3x + y = 8 )

9x + 3y = 24 ------> equation 2

x - 3y = 11 ------> equation 3

Add equations 2 & 3,

9x + 3y = 24

x - 3y = 11

_________

10x + 0 = 35

10x = 35

x = 35 / 10

x = 3.5

Substitute x = 3.5 in equation 1,

3x + y = 8

3 ( 3.5 ) + y = 8

10.5 + y = 8

y = 8 - 10.5

y = - 2.5

x = 3.5

= 35 / 10

x = 7 / 2

y = - 2.5

= - 25 / 10

y = - 5 / 2


Related Questions

number in squence

5,20,10,30,15,40

and say how did you do it
​i will mark you the brainlist

Answers

Answer:

5 plus 15 is 20 and then subtract 10 it will become 10 then add 20 it became 30 then subtract 15 it will become 15 then add 25 to 15 answer 40

Step-by-step explanation:

the numbers are repeated again and again like we added 5 to 15 we got 20

then later we added 20 to 10 it became 30

multiply x2 + 3x + 2
x 2x^2 + 3x - 1
__________________

Answers

Not sure if this is the right problem

The value of the expression (x² + 3x + 2) × (2x² + 3x - 1) will be 2x⁴ + 9x³ - 12x² + 3x - 2.

What is the value of the expression?

When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ (x² + 3x + 2) × (2x² + 3x + 1)

Simplify the equation, then we have

⇒ (x² + 3x + 2) × (2x² + 3x - 1)

⇒ x²(2x² + 3x - 1) + 3x(2x² + 3x - 1) + 2(2x² + 3x - 1)

⇒ 2x⁴ + 3x³ - x² + 6x³ + 9x² - 3x + 4x² + 6x - 2

⇒ 2x⁴ + 9x³ - 12x² + 3x - 2

The value of the expression (x² + 3x + 2) × (2x² + 3x - 1) will be 2x⁴ + 9x³ - 12x² + 3x - 2.

More about the value of the expression link is given below.

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Which of the statements is true regarding the graph below.


A: The graph does not have a range.
B: In the graph, y varies directly with x.
C: The graph does not represent a function
D: The graph represents a function

Answers

Answer:

the graph does represent a function

Y=x^3 - 3x^2 - 72x - 10

Answers

Answer:

x=7

Step-by-step explanation:

Because im right

4/10 + 1/5 and 4/10 - 1/5

Answers

Answer: 4/10 + 1/5 = 0.6 and  4/10 - 1/5 = 0.2.

Step-by-step explanation:

1. Convert the fractions into decimals by dividing the numerator(the number to the left or top of the fraction) by the denominator(the number to the right or bottom of the fraction.

2. For the first question, add the two decimals to get your answer. For the second question, you subtract. 0.4-0.2.

What is the slope-intercept equation
for the following line?

Answers

Answer:

y=2x+8

Step-by-step explanation:

Hope this helps! :)

What percent is 15 of 50? Explain the steps in finding the percent

Answers

15% of 50 can be written as 50% of 15

= 7.5

15 is 30% of 50. This is found by setting up a proportion: 15/50 = Percent/100, solving for Percent gives 30.

Let's call the part we're trying to find the percent of the "portion."

Portion = 15 (the value you want to find the percent of)

Total = 50 (the total value or whole)

Set up the proportion.

The ratio of the portion to the total as a percent, so we can set up a proportion:

Portion / Total = Percent / 100

Plug in the values.

Portion / 50 = Percent / 100

Solve for the percent:

Portion × 100 = 50 × Percent

Divide both sides by 50:

Percent = (Portion × 100) / 50

Calculate the percent:

Percent = (15 × 100) / 50

Percent = 1500 / 50

Percent = 30

Therefore, 15 is 30% of 50.

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can anyone help me??

Answers

Answer and Step-by-step explanation:

To find the third side, we can use the Pythagorean Theorem.

The theorem states that if a triangle is a right triangle, and we already have two sides, we are able to find the third side.

The Pythagorean Theorem Formula is the following:

[tex]A^2+B^2=C^2[/tex]

A is any of the bases

B is the other base (you can make this the height)

C is the hypotenuse (the longest side)

We are given B and C, so lets plug them into our formula and solve for A.

[tex]A^2 + (4\sqrt{3} )^2=8^2[/tex]

Subtract [tex](4\sqrt{3} )^2[/tex] from both sides of the equation.

[tex]A^2=8^2 - (4\sqrt{3} )^2[/tex]

Now take the square root of both sides of the equation.

[tex]A=\sqrt{8^2 - (4\sqrt{3} )^2}[/tex]

Now plug this into your calculator and solve.

We get the answer to be:

4

#teamtrees #PAW (Plant And Water)

I hope this helps!

>> Answer

________

[tex] \: [/tex]

a² = c² - b²

a² = 8² - (4√3)²

a² = 64 - 48

a² = 16

a = √16

a = 4

The table displays the mean name length for seven samples of students.

Sample
Mean Name Length
1
5.4
2
7.1
3
6.3
4
5.2
5
6.0
6
4.9
7
6.2

What can be said about the variation between the sample means?
The variation between the sample means is small.
The variation between the sample means is large.
The variation shows that the values are far apart.
The variation cannot be used to make predictions.

Answers

Answer:

      A ✔

Step-by-step explanation:

4 increased by three-fifths of a number is 49. What is the number?

Answers

Answer:

75

Step-by-step explanation:

Let n be the unknown number

4+3/5n=49Isolate variable- 3/5n=45Multiply by 5/3- n=75

Answer:

the number is 49

Step-by-step explanation:

first, write an equation based on the words

4 increased by= 4+

three fifths of a number = [tex]3/5 * n[/tex]

is 49: =49

now, put it together: [tex]4 + 3/5*n=49[/tex]

Now, solve

4 + 3/5*n=49

4-4=0   49-4= 45

3/5*n=45

3/5*n / 3/5= n    45/ 3/5= 75

n=75

hope this helps:)

please crown me brainliest!!!

Which expression is equal to “8 less than the product of y and 9"'?​

Answers

Answer:

Which expression is equal to “8 less than the product of y and 9"'?​

Step-by-step explanation:

solve for x b
(4x + 7)
(2x + 5)

can someone solve this for me
thank you in advance

Answers

Step-by-step explanation:

10x+1=12x-5

1+5=12x-10x

6=2x

6/2=2x/2

3=x

how do I rewrite the equation of velocity, so that I'm solving for time and no velocity?

V= D/T is the formula for solving for velocity

Answers

Answer: V/D = T

Step-by-step explanation:

X Equation practice with angle ad MZQPS is a straight angle. mZQPR = 7x - 4 10 mZRPS = 9x - 40 °​

Answers

x=2

Step-by-step explanation:

is a equation is simple

What is the correct expanded form for the number 43.205?
400 + 3 + 0.2 + 0 + 0.005
40 + 3 + 0.2 + 0 + 0.005
40 + 3 + 0.02 + 0.005
40 + 3 + 0.2 + 0.05
Please help !

Answers

Answer:

43.205 in expanded form:B. 40 + 3 + 0.2 + 0 + 0.005

Answer: Choice B)  40 + 3 + 0.2 + 0 + 0.005

Explanation:

The number 43 is basically 40+3

We read "43" as "forty three", in which you can think of having 40 and then an additional 3 on top of that to get 40+3 = 43 overall.

As for the decimal portion, we do the same sort of thing.

The 0.205 breaks up into 0.2 + 0.005

0.2 = 2 tenths

0.005 = 5 thousandths

So that's why 43.205 breaks down into 40+3+0.2+0+0.005; each place value digit corresponds to a term in that expanded sum.

Does anyone know this answer???

Answers

4/12 I haven’t done this in a while so I’m not so sure

Answer:

the pitch of the roof is 24ft²

Step-by-step explanation:

Formula: 1/2(b×h)

Given: b=4, h=12

> 1/2(4×12)

> 1/2(48)

> 24

Please help, answer all 3 please ASAP!!!!! A. Graph the piece-defined function. B. What is the domain and range of the function?

Answers

Answer:

Step-by-step explanation:

25/36 x 1 1/10 x 1 1/10 in simplest form

Answers

Answer:

121/144

Step-by-step explanation:

I need help in this, help please.

Answers

9514 1404 393

Answer:

  x = 21

  y = 60

Step-by-step explanation:

We assume the marks are angle measures.

The angles of a linear pair are supplementary:

  (3x +5) +(6x -14) = 180

  9x -9 = 180 . . . . simplify

  9x = 189 . . . . . . add 9

  x = 21 . . . . . . . divide by 9

__

At parallel lines, corresponding angles are congruent.

  y +8 = 3x +5 = 3(21) +5 = 68

  y = 60 . . . . . subtract 8

0.1(d-6)=0.15d+2.5-1.5+0.05d

Answers

Answer:

d= negative 16

Step-by-step explanation:

Answer:

0.1(d-6)=0.15d+2.5-1.5+0.05d

Step-by-step explanation:

Ken painted 14 meters of fencing in 1 hour. How many centimeters of fencing can he paint in 45 minutes?

Answers

Answer:

.

Step-by-step explanation:

To start we have 14m/h
We have to know desired/current measurement. This is not to bad of a question.
14m X 100cm X 1 h
—— ———— —— =23.333333cm/min
1h 1m 60 min

Question
Write 5x−y=14 in slope-intercept form.

Answers

Answer:

y=5x-14

Step-by-step explanation:

hope this helps!

Solve for x.
2(x+5) = – 10x + 34
will give brainliest

Answers

Answer:

x=2

Step-by-step explanation:

first you distribute the two on the left side of the equation and get 2x+10= -10x+34. Then add 10x to both sides of the equation to get 12x+10=34. Then subtract 10 from both sides of the equation to get 12x=24. finally divide both sides of the equation by 12 and get x=2

Someone plz help me :(

Answers

Answer:

C

Step-by-step explanation:

Easy as

9,4

2,4

4-4 0 Distance

9-2

7 distance

Hope this helps!

seconds is given by the polynomial - 16² +1160. Find the height of the object at t = 7 seconds.

Answers

Answer:

use trial and error

Step-by-step explanation:

lma0

Renee recieved $35.75 for selling 55 candy bars for a school fundraiser. At what rate was Renee selling each candy bar?

Answers

Answer:

every 1 candy bar sold she earned 0.65 cents

Step-by-step explanation:

Answer:

35.75$/55=0.65$

Step-by-step explanation:

PLS HELP ME WITH THIS QUESTION!!!!!!!!

Answers

Answer:

G

Step-by-step explanation:

a + b + c = 80

Express a and c in terms of b using the ratios in fractional form, that is

[tex]\frac{a}{b}[/tex] = [tex]\frac{2}{3}[/tex] ( cross- multiply )

3a = 2b ( divide both sides by 3 )

a = [tex]\frac{2}{3}[/tex] b

[tex]\frac{b}{c}[/tex] = [tex]\frac{3}{11}[/tex] ( cross- multiply )

3c = 11b ( divide both sides by 3 )

c = [tex]\frac{11}{3}[/tex] b

Substitute the values for a and c into the original equation

[tex]\frac{2}{3}[/tex] b + b + [tex]\frac{11}{3}[/tex] b = 80 ( multiply through by 3 to clear the fractions )

2b + 3b + 11b = 240 , that is

16b = 240 ( divide both sides by 16 )

b = 15 → G

Consider the graph of this absolute value function. Drag and drop the choices to the boxes to correctly describe the end behavior of the function. Correct answers only

Answers

Answer:

See below

Step-by-step explanation:

This function has a minimum value at vertex (3, -1) and maximum value is infinity.

As x → ∞     f(x) → ∞As x → - ∞   f(x) → ∞

(p^2/(y-p)^y)-(2p/(y-p)^y-1)+(1/(y-p)^y-2))

Answers

Hope this helps ……..

Consider the figure below where MN is parallel to PQ, angle PTS is equal to (19x +5) and angle NST is equal to (17x +15), determine angle MSR and angle STQ

Answers

From the figure shown where MN is parallel to PQ:

m<MSR   =  100°

m<STQ   =  80°

By carefully observing the figure shown:

<MSR is vertically opposite to <NST

Vertically opposite angles are equal

m<NST  =  (17x  +  15)

<NST is alternative to <PTS

Alternative angles are equal

Therefore, m<NST  =  m<PTS

m<NST = 17x + 15

m<PTS  =  19x + 5

17x  +  15   =  19x  +  5

19x  -  17x =  15  -  5

2x   =  10

x   =  10/2

x   =  5

m<NST  =  17x + 15

m<NST  =  17(5)  +  15

m<NST  =  100°

Since m<MSR  =  m<NST

m<MSR   =  100°

m<PTS  =  19x + 5

m<PTS  =  19(5)  +  5

m<PTS  =  100°

m<PTS  +  m<STQ  =  180° (Sum of angles on a straight line)

100   +  m<STQ   =  180

m<STQ   =  180 - 100

m<STQ   =  80°

From the figure shown where MN is parallel to PQ:

m<MSR   =  100°

m<STQ   =  80°

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