solve the system of simultaneos equations using substitution method. 2/x-3/x=1 equation one 1/x-2/y= 2. equation two​

Answers

Answer 1

Answer:

First solve the first one

2/x -3/x = 1

Multiply through by x

2/x×x -3/x×x = x

You will get

2 - 3 = x

x = - 1

Substitute x into the second Equation

1/x - 2/y = 2

x = 1

1/1 -2/y = 2

-2/y = 2-1

-2/y = 1

y = -2

Therefore x = - 1 and y = - 2

Hope this helps.


Related Questions

Use the quadratic formula to find both solutions to the quadratic equation given below

Answers

Answer:

both of the solution is B and C

look at the diagram which angle is adjacent and congruent to angle AOE

Answers

Answer:

Angle EOC.

Step-by-step explanation:

You can observe the figure in the image attached.

Notice that angle AOE is 90°, that is, it's a right angle. (The little red square indicates its perpendicularity).

Now, the adjacent and congruent angle to AOE is angle EOC, because they are on a straight angle, they are supplementary angles and also adjacent angles.

19. A bakery sold three kinds of muffins on Monday. The ratio of cranberry to blueberry muffins sold was 2/3 . The ratio of blueberry to cinnamon muffins sold was 1. If 60 blueberry muffins were sold on Monday, how 4/1 many more cranberry muffins than cinnamon muffins did the bakery sell? *

Answers

Answer:

25

Step-by-step explanation:

The ratio of cranberry to blueberry muffins sold was 2/3.

This means that for every 3 blueberry muffins, 2 cranberry muffins were sold.

The ratio of blueberry to cinnamon muffins sold was 4/1.

This means that for every cinnamon muffin, 4 blueberry muffins were sold.

In other words, the ratio of cinnamon muffins to blueberry was 1/4.

60 blueberry muffins were sold on Monday.

This means that the number of cranberry muffins sold was:

2/3 * 60 = 40 cranberry muffins

This also means that the number of cinnamon muffins sold was:

1/4 * 60 = 15 cinnamon muffins

To find how many more cranberry muffins were sold than cinnamon muffins:

40 - 15 = 25 muffins

25 more cranberry muffins were sold.

Answer:

25

Step-by-step explanation:

Which datum is most unlikely to occur? A. a 7 foot tall person if the mean is 6 feet and the standard deviation is 3 inches B. a 13 foot tall moose if the mean is 12 feet and the standard deviation is 4 inches C. a 17 foot tall filbert tree if if the mean is 20 feet and the standard deviation is 6 inches D. a 20 foot tall giraffe if the mean is 23 feet and the

Answers

Answer: idk man

Step-by-step explanation: rg

Answer:iidk

Step-by-step explanation:

Can someone help me it’s geometry I will really appreciate it :,)

Answers

Answer:

LAS LINEAS PARALELAS TIENEN LA MISMA PENDIENTE. ENTONCES ES

-4

Step-by-step explanation:

A city has a population of 2.8 million people. 45% of the population are male. How many females live in the city?

Answers

____________________________

Solution,

Total population:2800000

Total population of males in percent=45%

total population of females in percent=100%-45%=55%

Total number of females= 55% of 2800000

=1540000

Hope it helps..

Good luck on your assignment

____________________________

identify the domain of the function shown in the graph.

A. x is all real numbers
B. 0<x<5
C. -5<x<5
D. x>0​

Answers

Answer:

A, all real numbers

Step-by-step explanation:

The domain is the x value and the x value is the domain.

So when you take a look at the x values, it keeps going on and on

So when x values or y values keep going on forever we call that all real numbers

Hope this helps! Plz mark brainliest!

The probability of a biased coin landing on heads is 2/7 complete the tree diagram

Answers

Answer:

The numbers needed to fill each box are in the image attached

Step-by-step explanation:

The probability of the coin landing on heads is 2/7, so the probability of it landing on tails is 1 - 2/7 = 5/7

The probability of landing heads 2 times is:

P = (2/7) * (2/7) = 4/49

The probability of landing heads and then tails is:

P = (2/7) * (5/7) = 10/49

The probability of landing tails and then heads is:

P = (5/7) * (2/7) = 10/49

The probability of landing tails 2 times is:

P = (5/7) * (5/7) = 25/49

The numbers needed to fill each box are in the image attached.

Step-by-step:

The first flip numbers will always add up to 1 so you do

1 - 2/7= 5/7

now it gets easy...

The second flip  head will be 2/7 because it is a biased dice and the second flip tail will be 5/7

This also applies for the bottom 2: 2/7 head, 5/7 tails

hope this helped :)

Help me please…………………………

Answers

Answer:

Correct option: First one -> [tex]x^2 = -12y[/tex]

Step-by-step explanation:

The focus and the vertex have the same x-coordinate, so we have a vertical parabola. The standard equation for this parabola is:

[tex]y = a(x-h)^2 + k[/tex]

If the vertex is at the origin, we have that:

[tex](h, k) = (0,0)\\h = 0, k = 0[/tex]

If the focus is at (0,-3), we have that:

[tex](h, k+p) = (0, -3)[/tex]

[tex]p = 1/4a[/tex]

[tex]k + p = -3[/tex]

[tex]1/4a = -3[/tex]

[tex]a = -1/12[/tex]

So we equation of the parabola is:

[tex]y = -x^2/12[/tex]

[tex]x^2 = -12y[/tex]

Correct option: First one

Aunt Patricia has a large farm, which contains a right triangular area where her house and gardens are
located. She also has three square pastures where she keeps her milk cows. Aunt Patricia has written a
will. In the will, she leaves the triangular area with house and garden to a local charity. But she leaves
the three square pastures to her two nieces, Mia and Erika.

The side length of the smallest square pasture is 24 meters, and the area of the middle-size square
pasture is 1,024 square meters.
1. What is the area of the smallest square pasture? _________________________ square meters
Show how you figured it out.

2. What is the side length of the middle-size square pasture? ______________________ meters
Show how you figured it out.

In Aunt Patricia’s will, she gave the large pasture to Mia and the two smallest pastures to Erika.
3. What is the side length of Mia’s square pasture (large pasture)? ____________ meters
What is the total area of Mia’s pasture? ______________________________ square meters
Show how you figured it out.

4. The nieces don’t think the will is fair. Explain to them why, in this case, it is fair. Justify your
explanation with mathematics.
__________________________________________________________________

Answers

Answer:

see below

Step-by-step explanation:

The smallest size has area b^2

A = s^2

A= b^2 = 24^2 =576 m^2

The middle size has area a^2

1024 = a^2

Take the square root of each side

sqrt(1024) =sqrt(a^2)

32 = a

The side length is 32 m

To find the side length of the largest pasture use the pythagorean theorem

a^2 + b^2 = c^2

32^2 + 24^2= c^2

1024+576 = c^2

1600 = c^2

Taking the square root of each side

sqrt(1600) = sqrt(c^2)

40 = c

The side length is 40 m

The area is 1600 m^2

It is fair since the areas are the same.1600 m^2 = 1600 m^2

Which graph represents a function??

Answers

Answer:

To be a function a graph must pass the vertical line test and the only one that does this is the bottom right one.

Answer:

Bottom Right

Step-by-step explanation:

A function has only one y value for every x value. The upper left graph has many y values for the x value of 1, the bottom left graph has two y values for each x value and so does the upper right graph. the Bottom right graph is the only option with one y value for every x value.

Which of the following pair of angles is the complementary angle? 25 and 65 31 and 71 60 and 40 145 and 35

Answers

Answer:

Step-by-step explanation:

If the sum of a pair of angles is 90, then they are complementary angles.

25 + 65 = 90

So, 25 and 65 are complementary angles

Answer:

25 and 65

Step-by-step explanation:

complementary angle= either of two angles whose sum is 90°

25 and 65, sum = 90°

yes

31 and 71, sum = 102°

no

60 and 40, sum = 100°

no

145 and 35, sum = 180°

no

Please help! Correct answer only!

In a raffle, one ticket will win a $900 prize, and the remaining tickets will win nothing. There are 500 in the raffle. If you have a ticket, what is the expected payoff?

Answers

Answer:

" Expected Payoff " ⇒ $ 1.80 ; Type in 1.80

Step-by-step explanation:

Take the probability of winning into consideration;

[tex]Total Number of Tickets - 500,\\Tickets 1 Person Can Enter - 1 Ticket,\\\\Probability of Winning - 1 / 500,\\Money Won - 900 Dollars,\\\\Proportionality - 1 / 500 = x / 900 - where, x = " Expected Payoff "\\1 / 500 = x / 900 - CrossMultiplication,\\\\500 * x = 900,\\x = 900 / 500,\\x = 1.80 Dollars Won!\\\\Conclusion ; x = 1.80 Dollars[/tex]

Solution ; " Expected Payoff " ⇒ $ 1.80

What is the image of the point (-5, 2) under the translation T3,-4?

Answers

Answer: (5,7)

Step-by-step explanation:

We want to find the image of a point after a given translation.

The image of the point (-5, 2) under the translation T(3, -4) is the point (-2, -2)

First, we can define how a general translation T(a, b) affects a general point (x, y).

It will add a units to the x-value and b units to the y-value, then we have:

T(a,b)[(x, y)] = (x + a, y + b).

Now we just need to apply the translation:

T(3, -4) to the point (-5, 2)

It gives:

T(3, -4)[(-5, 2)] = (-5 + 3, 2 + (-4)) = (-2, -2)

So the image of the point (-5, 2) under the translation T(3, -4) is the point (-2, -2)

If you want to learn more, you can read:

https://brainly.com/question/16874971

solve for x
8x+6=10 please help me ASAP

Answers

Answer:

0.5

Step-by-step explanation:

8x+6=10

8x=10-6

8x=4

x=4/8=0.5

Answer
0.5

Step-by-Stet explication
8x=4
x=1/2 or 0.5

2x - 4(4x - 8) = -94 solve for x

Answers

Answer:

x =9

Step-by-step explanation:

2x - 4(4x - 8) = -94

Distribute

2x - 16x +32 = -94

Combine terms

-14x +32 = -94

Subtract 32 from each side

-14x+32-32 = -94-32

-14x =-126

Divide each side by 14

-14x/-14 = -126/-14

x =9

Answer:

9

Step-by-step explanation:

7×10^-5
answer this ​

Answers

Hi! So we have to use the Order of Operations, aka PEMDAS so it's:

Parentheses

Exponents

Multiplication/Division

Addtion/Subtraction

Exponent comes first so we'll deal with that. 10^-5=0.00001

And then 7*0.00001=0.00007

please could you help me with these questions! they would be quick

Answers

Answer:

Where are the questions....?

Answer:

Hey!

Well there aren't any question up here!!

Step-by-step explanation:

Maybe put another one!

Hope this helps!

Need help it’s URGENT!

Answers

Answer:

either b or c

Step-by-step explanation:

i think

What is the inverse of y= e^x+3 -4

Answers

Answer:

log(x + 1)inverse function y(x) = e^x + 3 - 4

What is the measure of the hypotenuse?

Answers

Answer:13

[tex]solution \\ hypotenuse = x \\ base = 12 \\ perpendicular = 5 \\ using \: pythagoras \: theorem \\ {h}^{2} = {p}^{2} + {b}^{2} \\ or \: {x}^{2} = {5}^{2} + {12}^{2} \\ or \: {x}^{2} = 25 + 144 \\ or \: {x}^{2} = 169 \\ or \: x = \sqrt{169} \\ x = 13 \\ [/tex]

hope it helps....

Good luck on your assignment

Answer:

Step-by-step explanation:

using pythagoras theorem which says the square root of the sum of the  square of the opposite  side  and the square of the adjacent side would give the value of the hypotenuse

hyp^2 = opp^2 + adj^2

i dont have the square root symbol but u can solve it either way :

you can input the values given and then collect like terms or u can take the square root of the right side. The right angle would always face the hypotenuse which is the longest side.

hyp = x

x^2=(5)^2 +(12)^2

x^2= 25 +144

x^2=169

take the square of both sides to get your value for x

x= 13

Matthew is a salesman and earns commission on merchandise he sells. Last week he sold $7000 in merchandise. How much money does Matthew get in commission? The percent of the commsion is 3%

Answers

Answer:

I think the commission amount is $210

i think the answer may be 210?


Which of the following is a ray shown in the drawing?

Answers

Answer:

So to get the answer we need to find both of the rays. So first we need to find the end points for the horizontal one. That would be D and E for the horizontal. Those are points, do the same for the diagonal one. AC would be it. AC and DE would be the answer

HELP I NEED TO COMPLEYE THSISJI toDay

Answers

Answer: A. 7x(2x + 5)

Step-by-step explanation:

7x * 2x = 14x^2

7x * 5 = 35x

The answer is A.

You have to take out 7 and x from each because they’re alike which simplifies it and put it on the outside. Sorry not super scientific answer but it’s right

find the vertical asymptote. y = x - 1 / x + 4

Answers

Answer:

x = - 4

Step-by-step explanation:

Given

y = [tex]\frac{x-1}{x+4}[/tex]

The denominator of y cannot be zero as this would make y undefined.

Equating the denominator to zero and solving gives the value that x cannot be and if the numerator is non zero for this value then it is a vertical asymptote.

x + 4 = 0 ⇒ x = - 4

Thus the vertical asymptote is x = - 4

Fong has 28$ he shares it between his two sisters in the ratio of 3:4 how many money does each sister get?

Answers

Answer:

One sister gets 12 and the other gets 16

Step-by-step explanation:

Sister A : sister B: total

3                 4            3+4 =7

Take the total amount and divide by 7

28/7 = 4

Multiply each side by 4

Sister A : sister B: total

3 *4          4*4           7*4

12               16           28

what is the sum of 1/2(4x+4) + (2x+8)

Answers

Answer:

4x + 10

Step-by-step explanation:

1/2 x 4x =2x

2x + 2x =4x

1/2 x 4 = 2

2 + 8 = 10 Answer: 4x + 10

calcule abc + bca+cab (a + b + c) =225

Answers

Answer:

Step-by-step explanation:

learn it

Which function grows at the fastest rate for increasing values of x? h(x)=2x f(x)=8x2−3x g(x)=19x p(x)=5x3+3

Answers

g(x)=19x is the function that’ll grow at the fastest rate.

The function p(x) = 5x³ + 3 grows at the fastest rate for increasing values of x.

What is a function?

A function is a relation between two sets one is called domain and the other one is range.

Given functions are:

h(x) = 2x

f(x) = 8x² − 3x

g(x) = 19x

p(x) = 5x³ + 3

Here, p(x) = 5x³ + 3 is the only cubic function.

As the degree of the function p(x) is highest among all.

Therefore, this function p(x) grows at the fastest rate for increasing values of x.

Learn more about function here:

https://brainly.com/question/5607159

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find the gradient of the line through (0, 2) and (3,14)​

Answers

Answer:

gradient = 4

Step-by-step explanation:

Calculate the gradient using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (3, 14)

m = [tex]\frac{14-2}{3-0}[/tex] = [tex]\frac{12}{3}[/tex] = 4

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