If 5x + y = 20 and 10x - 2y = 50 are two linear equations in two variables. Find the value of x and y.
x = 1, y = 1
x = 2, y = 1/2
x = 9/2, y = -5/2
x = 1, y = 5/2

Answers

Answer 1

Answer:

x = 9/2, y = -5/2

Step-by-step explanation:

5x + y = 20

10x - 2y = 50

There's multiple ways to do this, but I will solve using substitution.

Isolate variable y on the first equation.

5x + y = 20

y = 20 - 5x

Substitute the value of y for 20 - 5x in the second equation.

10x - 2(20 - 5x) = 50

Use distributive property:

10x - 40 + 10x = 50

Combine like terms:

20x - 40 = 50

20x = 90

x = 90/20

x = 9/2

Substitute x for 9/2 and solve for y:

y = 20 - 5(9/2)

y = 20 - 45/2

y = 40/2 - 45/2

y = -5/2

Answer 2

Answer:

x =9/2, y = -5/2

Step-by-step explanation:

5(9/2) + -(5/2)= 20

45/2 + -5/2 = 20

40/2 = 20

10(9/2) - 2(-5/2) = 50

90/2 + 10/2 = 50

45 + 5 = 50


Related Questions

Colton sold a total of 28 tee shirts and sweatshirts as a fundraiser for his football team. If tee shirts cost 12 dollars each and sweatshirts cost 20 dollars each and he raised a total of 424 dollars how many tee shirts did he sell?

Answers

Answer:

17

Step-by-step explanation:

Create a system of equations where t is the number of t shirts he sold, and s is the number of sweatshirts he sold

t + s = 28

12t + 20s = 424

Solve by elimination by multiplying the top equation by -20, then adding them together

-20t - 20s = -560

12t + 20s = 424

-8t = -136

Solve for t:

t = 17

So, Colton sold 17 t shirts

(answer to get BRAINLYLIST)algorithm to find fehrenhit where clcius is 99

Answers

Answer:

210.2

Step-by-step explanation:

Formula

(99°C × 9/5) + 32 = 210.2°F

When I have walked 20% of the way to school, I have 1200 metres more to walk than when I have 20% of the walk remaining.

How far, in metres, is it from my home to my school?

Answers

Answer:

The house is 2000 meters from the school.

Step-by-step explanation:

Given that, when I have walked 20% of the way to school, I have 1200 meters more to walk than when I have 20% of the walk remaining, to determine how far, in meters, is it from my home to my school the following calculation has to be done:

100 - 20 = 80

80 = 20 + 1200

80 - 20 = 1200

60 = 1200

1200/60 = 20

20 x 100 = 2000

Therefore, the house is 2000 meters from the school.

Classify the following polynomial as a monomial, binomial, trinomial, or none of these.
x + y + z

Monomial

Trinomial

Binomial

None of these

Answers

Answer:

Trinomial.

Step-by-step explanation:

A monomial has one term. A binomial has two terms. A trinomial has 3 terms.

x + y + z has 3 terms; x, y, z. So it is considered a trinomial.

The table below shows the distribution of students in a sixth grade drama
club What is the ratio of the number of girls to the number of boys? 18 boys 28 girls

Answers

Step-by-step explanation:

9:14

Hope this helps xxx

the answer is D.
explain how to get the answer??

Answers

Answer:

[tex] - 5 \leqslant x - 2 < 4[/tex]

[tex] - 5 + 2 \leqslant x < 4 + 2[/tex]

[tex]3 \leqslant x < 6[/tex]

Step-by-step explanation:

add +2 for both sides

to make x as a subject

Solve by using elimination.
2x+3y=12
-4x-6y=-24

Answers

Answer:

Hi! The answer to your question is (x,4-[tex]\frac{2x}{3}[/tex])

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆*: .。..。.:*☆☆*: .。..。.:*☆☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

☁️ Answer ☁️

2x+3y=12, -4x-6y=-24

I got:

x=x, y=4 - 2x/3

(Im not sure if I solved it correctly)

Hope it helps.

Have a nice day noona/hyung

If a triangle has a right angle and a 30 degree angle, what is the measure of the third angle?

Answers

Answer:

60

Step-by-step explanation:

All triangles have a total measurement of 180 degrees. So to find the last angle measure subtract 90 and 30 from 180, 180-(90+30). This equals 60 degrees. Additionally, a triangle with a 90 and 30 degree angle is known as a 30-60-90 special right triangle. All of these triangles will have 60 as their third measurement.

I think the answer is 60 I’m not sure but good luck

Which shows the expression below simplified? (4.9 x 108) ÷ (7 x 105)

Answers

Hoping it helps...

Have a nice day!

Adele ate lunch at a restaurant. The bill came to $90. If she left a 15% tip, how much was the
tip?

Answers

Answer:

$13.50

Step-by-step explanation:

The total is $103.50.

the answer is 13.50 so the first guy was right

Find the discriminant.
4w 2 + 8W + 4 = 0
How many real solutions does the equation have?
no real
solutions
one real
solution
two real
solutions

Answers

Answer:

one real solution being only -1

Step-by-step explanation:

Solve for w over the real numbers:

4 w^2 + 8 w + 4 = 0

Divide both sides by 4:

w^2 + 2 w + 1 = 0

Write the left hand side as a square:

(w + 1)^2 = 0

Take the square root of both sides:

w + 1 = 0

Subtract 1 from both sides:

Answer: |

| w = -1

Answer:

[tex]Discriminant=0\\b)\ One\ Real\ Solution[/tex]

Step-by-step explanation:

[tex]We\ are\ given\ that:\\4w^2+8w+4=0\\We\ know\ every\ quadratic\ equation\ can\ be\ represented\ in\ the\ form\ of:\\ax^2+bx+c=0,\ where\ x \neq 0\\Hence,\\Lets\ first\ recognize\ the\ co-efficients\ of\ the\ algebraic\ terms( x^2,\ x,\ x^0),\\ which\ are\ a,b\ and\ c\ respectively.[/tex]

[tex]Hence,\\4w^2+8w+4=0\\4(w^2)+8(w)+4(w^0)=0\\Hence,\\a=4,\ b=8,\ and\ c=4.[/tex]

[tex]Now,\\We\ can\ decide\ the\ nature\ of\ roots\ the\ quadratic\ equation\ has,\ by\ looking\\ at\ its\ Discriminant.\\Hence,\\Lets\ first\ find\ the\ Discriminant\ for\ our\ equation:\\[/tex]

[tex]We\ know\ that,\\Discriminant=b^2-4ac\\\\Substituting\ a=4, b=8, c=4\ in\ the\ Discriminant\ Formula,\ we\ get:\\8^2-4*4*4\\=64-64\\=0\\Hence,\\Discriminant=0[/tex]

[tex]We\ also\ know\ that\ if,\\D>0, The\ equation\ forms\ 2\ distinct\ real\ roots.\\D=0,The\ equation\ forms\ only\ one\ real\ root\ exactly\ at\ the\ x-axis.\\D<0,\ The\ equation\ forms\ Imaginary/Complex\ Roots\ or\ basically\ no\ real\ roots.[/tex][tex]Here,\\As\ D=0,\\The\ equation\ forms\ only\ one\ Real\ root\ or\ has\ only\ one\ solution.[/tex]

Question 2 (1 point)

What is the length of a day-night cycle? Is it the same everywhere on Earth?

12 hours - yes; because the sun rises and sets in the exact same place every day

relative to Earth.

12 hours - no; because depending on where you are on Earth, you have a

different amount of sunlight.

24 hours - yes; because the sun rises and sets in the exact same place every day

relative to Earth

24 hours - no; because depending on where you are on Earth, you have a

different amount of sunlight.

Answers

Answer: 24 hours - no; because depending on where you are on Earth, you have a  different amount of sunlight.

Step-by-step explanation:

The day-night cycle is a complete day or a complete rotation of the earth around its axis. This takes 24 hours which is why 24 hours is the length of a full day.

People around the world however, do not get the same amount of sunlight or darkness and this is because of where they are on Earth. Due to the way the planet is tilted on its axis, some areas see sunlight more than other in a period and others see more darkness.

Help with math please

Answers

a=1, b=-2, c=5
the axis of symmetry is 2/2 which equals 1.
the vertex would be (1,4)

What is the mean? If the answer is a decimal, round it to the nearest tenth.
-2, 0, -3 ,0, -3, 0, -5,6,0

Answers

add up all the numbers together, then divide by the amount of numbers in the sequence
you would get -0.8

helppppppppppppppppppppppppppppppp

Answers

Answer:

that link is a scam do not click on it

Step-by-step explanation:

there are people going around typing this link it guves your phone a virus


Find the sum of the first six terms of the geometric sequence.

an = 8(3)n-1
2,952
8,774
2,910
2,912

Answers

Answer:

yegegeggg

Step-by-step explanation:

hehehheeuue

Answer:

the answer is 2,912

Step-by-step explanation:

i just took the test

Pls answer and no bs link or I’ll report

Answers

Answer:

No solution

Step-by-step explanation:

One solution is when two lines intercept

Infinite solutions is when two lines are on top of each other

No solution is when two lines are parallel

How many degrees are measured in the interior angles
of a triangle?

Answers

Answer:

180 degrees

Step-by-step explanation:

Answer:

180 °

Step-by-step explanation:

Use the distributive property to multiply combine like tems & find the equation
6x(6x+3)-3(6x+3)

Answers

Answer:

Solution: 36x2−9

Step-by-step explanation:

So, you always have to start with distrubuting which is basically dividing.

Heres the equation that I started with. You can do it differently of course.

36x2+18x-3(6x+3)

combine like terms.

36x2-9

, your solution will be

36x2-9

What is the greatest common factor of 40, 8, and 24?

Answers

the greatest common factor is 8!!

A store is offering a discount of 15% on fishing rods what is the amount a customer will pay for a rod regularly priced at $25.00

Answers

Answer:

$21.25

Step-by-step explanation:

$25 x 0.85 = $21.25

- A sequence is shown below
2592, 432, 72, 12,...
Identify the type of sequence and the common ratio or difference.

Answers

the difference is 124, kinda hard to explain but i hope it helped

Find the rule. Solve for n. Х Y 4 3 6 5 7 6 10 n Rule: ​

Answers

Answer:

n = 9

Step-by-step explanation:

Here we have the table:

X     Y

4     3

6    5

7     6

10   n

First, we want to find the rule.

in the first pair we have:

x = 4

y = 3

We can see that the y-value is one smaller than the x-value

y = 3 = 4 - 1 = x - 1

For the second pair we have:

x = 6, y = 5

We again can see that the y-value is one smaller than the x-value

y = 5 = 6 - 1 = x - 1

For the third pair we have:

x = 7, y = 6

Again, can see that the y-value is one smaller than the x-value.

y = 6 = 7 - 1 = x - 1

We can conclude that the rule is:

y = x - 1

For the last pair, we have:

x = 10, y = n

Then:

n = 10 - 1 = 9

n = 9

Then the table is:

X     Y

4     3

6    5

7     6

10   9

OPEN-ENDED Complete the table by describing possible independent or
dependent variables.
Dependent Variable
18.
Independent Variable
The number of hours you study for a test
The speed you are pedaling a bike
19.
20.
Your monthly cell phone bill
The amount of money you earn
21.

Answers

Answer:

b

Step-by-step explanation:

n

Halle el valor de "h" del punto centro de la ecuación de la circunferencia cuyo diámetro es el segmento de la recta que une los puntos A(2,3) y B(4,−1):

Answers

Answer:

El punto es (3, 1)

Step-by-step explanation:

Sabemos que la ecuación de un circulo centrado en el punto (a, b), con radio R, se escribe como:

(x - a)^2 + (y - b)^2 = R^2

En este caso, sabemos que el diametro de nuestro circulo es igual al segmento que uno los puntos A(2, 3) y B(4, -1) (y el diametro es el doble del radio)

Entonces el centro del punto es exactamente el punto medio en el segmento dado.

Para encontrar el punto medio en el segmento dado, tenemos que encontrar el punto medio entre los valors en x, y el punto medio entre los valores en y.

Donde el punto medio entre dos valores a y b se calcula como:

punto medio = (a + b)/2  

El punto medio en x es:

x = (2 + 4)/2 = 3

El punto medio en y es:

y = (-1 + 3)/2 = 2/2 = 1

Entonces el punto medio en el segmento es:

C(x, y) = C(3, 1)

Esto quiere decir que el centro de la circunferencia va a ser el punto (3, 1)

Type the correct answer in each box The three interior angle measures of this triangle are
x = __ °
y = __ °
z = __ °​

Answers

Answer:

x=30

y=70

z=80

step by step explanation:

Four people have measured the height of a wall using different methods. Their results are shown in the table. Order their measurements from least to greatest

Answers

Answer:

5/2, 2.6, 1 + sqrt(3), sqrt(8)

Step-by-step explanation:

Use a calculator:

sqrt(8) = 2.83

5/2 = 2.5

2.6 = 2.6

1 + sqrt(3) = 2.73

Answer:

5/2, 2.6, 1 + sqrt(3), sqrt(8)

In 2007, the population of Tallahassee, Florida was 168,979. Some researchers believe that the population of Tallahassee will increase at a rate of 1% each year. If this is correct, how many years will it take for Tallahassee to reach a population of 180000. Round appropriately and write units. ​

Answers

Answer:

Number of year in which population will be 180,000 = 6 year (Approx.)

Step-by-step explanation:

Given:

Population in 2007 = 168,979

Rate of increase in population = 1% = 0.01

Future population = 180,000

Find:

Number of year in which population will be 180,000

Computation:

A = P[1+r]ⁿ

Future population = Population in 2007[1+Rate of increase in population]ⁿ

180,000 = 168,979[1+0.01]ⁿ

180,000 = 168,979[1.01]ⁿ

1.06522 = [1.01]ⁿ

n = 6 (Approx.)

Number of year in which population will be 180,000 = 6 year (Approx.)

Hey, if you can help me with this then please. I really need this done. :)

Answers

Answer:

97 oz.

Step-by-step explanation:

1 lb.=16oz

3+2 lbs = 5 lb's which equals to 80 oz.

then add the extra ounces 7+10 = 17

80 + 17 = 97 oz.

Answer:

D.

Step-by-step explanation:

There are 16 ounces in one pound.

3 X 16 = 48 + 7 = 55 ounces for the first book.

2 X 16 = 32 + 10 = 42 ounces for the second book.

55 + 42 =  97 ounces.

Help me with this I don’t really understand it

Answers

Answer:

Could you please help me with the two most recent questions of mine on my page? I will give u brainliest and 20 points! :))) X

Step-by-step explanation:

Other Questions
Find the total force on a piston of diameter 3.25 in., if the pressure (P) exerted on it is 150 lb/sq.In. Use 3.14 for and round to the nearest 50 lbs. You're the bus driver the bus driver pick up 50 kids and then drops off 25 how old is the bus driver??? he stemplot shows the number of minutes it took students to complete their homework.A stemplot titled Minutes to Complete Homework. The values are 0, 5, 10, 10, 15, 15, 18, 20, 25, 26, 32, 35, 37, 38, 40, 43, 45, 45, 45, 48, 49, 51, 53, 53, 53, 53, 55, 60, 60, 60.How many students took more than 45 minutes to complete their homework?There are students who took more than 45 minutes to complete their homework. pleaseee!! ur help means a lot What happened during the battle of d-day (june 6 1944) Why did some American Indians in Mexico decide to join forces with the Spanish conquistadors? how is globalization changing the global economy Does anyone have a La linea essay I could use for my homework. Pls its due tomorrow Which inequality is equivalent to X-419? 0-9>x-4< 9 0-9 -9 or x-4< 9 Ill give brainliest! 1. Which item below describes a quick change toEarth's landscape?A. a stone becoming smoothB. dirt moving down a steep hillC. flat land becoming a canyonD. a glacier flattening the land below it Which expression is equivalent to 16x^4 - 64? (4x^2 - 8)^2(8x^2 - 32)^2(4x^2 + 8)(4x^2 - 8)(8x^2+32)(8x^2-32) Read lines 10-13 from"Abuelito Who."can't come out to playsleeps in his little room all nightand daywho used to laugh like the letterKis sickWhat is revealed about thenarrator by this excerpt?A. The narrator knows whyher relationship with hergrandfather is changing.B. The narrator resents hergrandfather for notcoming outside to play.C. The narrator is pained byher memories of hergrandfather.D. The narrator is confusedby her grandfather'sbehavior. slopeeeee is soo hardddd brehh An object has less weight on the Moon than it has on Earth. What causes this difference?a. increased frictionb. the lack of an atmosphere c. a decrease in gravityd. the lack of water GIVING BRAINLIEST AND THE REST OF MY POINTS!!!!!Which number sequence follows the rule add 4 starting from 2?A) 1, 4, 6, 10, 12B) 2, 6, 10, 14, 18C) 2, 8, 10, 12, 16D) 4, 8, 14, 16, 18 1) Hank is looking to sell his motorcycle. He compiles these prices from the newspaper for bikes just like his$2,000; $ 16,900; $15,100; $14,500; and $17,000. Is it more reasonable for Hank to use the mean or themedian to get a reasonable estimated price for his bike? It is important to prepare for discussion so that:A. you have something to read fromB. you don't need to do extra thinking in the discussionC. you can communicate your ideas clearly, why is it important to be ethical in your studies 4) If the area of a triangle is72 square feet and the base is 12 feet, what is the height?Help ASAP please help me i need this done or i go to jail