2x+5y=0
3x-4y=23
solve the following simultaneous equation

Answers

Answer 1

Answer:

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

Step-by-step explanation:

[tex]2x + 5y = 0[/tex]

[tex]3x - 4y = 23[/tex]

By using substitution:

[tex]2x + 5y = 0[/tex]

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

[tex]x = -\frac{5}{2}y[/tex]

[tex]3x - 4y = 23[/tex]

[tex]3 (-\frac{5}{2} y) - 4y = 23[/tex]

[tex]-\frac{23}{2} y = 23[/tex]

[tex]y = -2[/tex]

[tex]x = -\frac{5}{2} y[/tex]

[tex]x = -\frac{5}{2} (-2)[/tex]

[tex]x = 5[/tex]


Related Questions

75% of 120 is what number

Answers

Step-by-step explanation:

75% of 120

[tex] \frac{75}{100} \times 120 [/tex]

[tex] = 15 \times 6[/tex]

[tex] = 90[/tex]

HOPE IT HELPS YOU

Solution:

Let the unknown number be x.

We know that:

The word "of" means multiplication.

This means that:

=> 75% × 120 = x

Step-by step calculations:

=> 75/100 × 120 = x                                                          [75% = 75/100]=> 75/5 × 6 = x=> 15 × 6 = x=> 90 = x

Thus, the number is 90.

Find the surface area of the prism.round to the nearest whole number
And working out

Answers

I'm not entirely sure if this is what you're looking for, but I'm going to try to help anyways.

Find the common difference of the arithmetic sequence 14, 8, 2,.

Answers

Answer:

-6

Step-by-step explanation:

A university has 29,370 students. In a random sample of 210 students, 14 speak three or more languages. Predict the number of students at the university who speak three or more languages.

Answers

Answer:

ok so out of 210 14 speak 3 or more so that is a ratio of

210:14

so lets find out how many times 210 goes into the whole populaiton

29370/210=139.857142857

then lets multiply the 14 by that amount

14*139.857142857=1958(exact)

so out of the 29370 1958 speak 3 or more launges

Hope This Helps!!!

BRAINLIEST (will mark) Given that the point $(4,7)$ is on the graph of $y=f(x)$, there is one point that must be on the graph of $2y=3f(4x)+5$. What is the sum of the coordinates of that point?

Answers

Answer: mark me brainliest!!

2y  = 3f(4x) + 5       divide through by  2 y = (3/2) f(4x) + 5/2 

The  "4x"  part  compresses the graph horizontally by a factor of 4The "3/2"  part vertically  stretches the graph by a factor  of 3/2The "5/2"  part  shifts the resulting point up by  5/2 units Applting the first two  to (4,7)  we get  (4*(1/4) , 7* (3/2) ) =  ( 1, 21/2) 

Applying the last one, we arrive at   ( 1, 21/2 + 5/2)  = (1, 26/2)  = ( 1,13) 

The sum of the coordinates  is  1 + 13   = 14

Step-by-step explanation:

A grocery store sells a bag of 4 oranges for $3. 64. How much would it cost for 6 oranges?

Answers

Answer:

$5.46

Step-by-step explanation:

4 / 3.64 = 6 / x

The scores on the push-up portion of a physical fitness test had a mean of 62 and a median of 60. One athlete was absent during the test, and his score was not included in the calculations. If his score of 67 were added to the distribution of scores, what would happen to the mean and median?
The mean would increase and the median would decrease.
The mean would increase and the median would stay about the same.
The mean would decrease and the median would stay about the same.
The mean would decrease and the median would increase.

Answers

The answer is the fist option

Find the error in this And then solve it correctly

Answers

Answer:

m<DCB=34

Step-by-step explanation:

90-56=34

The m<DCA would be 56, not the m<DCB

Find the value of x.

Answers

The answer would be 2

i need to show the work by the way.

Answers

Answer:

A) 61º

Step-by-step explanation:

since the line is straight that means that it is a 180º angle.

 7 10

180

-119

061

what is physics what is metallurgy what is Morelos again​

Answers

Answer:

what is physics

Physics is s type of study in science that talks about the structure of matter and how the fundamental constituents of the universe interact.

what is metallurgy

Metallurgy is a type of study in science and technology that talk's about the properties of metal and its production and purification.

what is Morelos

Morelos is in Mexico. it is a Mexican state.

Morelos. / (Spanish moˈrelɔs) / noun. an inland state of S central Mexico, on the S slope of the great plateau.

Hope it helps!!!!!!brainliest pls!!!!!!!!!!

Evaluate.

(3.5−56)⋅(−3.4+515)

Enter your answer as a decimal or mixed number in simplest form in the box.

Answers

Answer:

−16,848

Step-by-step explanation:

firstly, evalute whatever is in the parentheses. [3.5 minus 56 equals "-32.5" then the next [-3.4+515 equals "518.4"

then multiply the two numbers: "-32.5 × 518.4"

−16,848 is the answer.. its definitely a weird question.

If the Lenght of Rectangle is 10 cm and its Breadth is 15 cm . Then find the Area of Rectangle ?​

Answers

Answer:

Given ,

Length of rectangle = 10cm

Breadth of rectangle = 15cm

Now ,

Area of rectangle = length × breadth

‎‎ ‎‎ ‎‎ ‎‎ ‎‎ ‎‎ ‎‎ ‎‎ ‎‎ ‎‎ ‎‎ ‎‎ ‎‎ ‎‎ ‎‎ ‎‎ ‎‎ ‎‎ ‎‎ ‎‎ ‎‎ ‎‎ ‎‎ ‎‎ ‎‎ ‎‎= ( 10 × 15 ) cm²

‎‎ ‎‎ ‎‎ ‎‎ ‎‎ ‎‎ ‎‎ ‎‎ ‎‎ ‎‎ ‎‎ ‎‎ ‎‎ ‎‎ ‎‎ ‎‎ ‎‎ ‎‎ ‎‎ ‎‎ ‎‎ ‎‎ ‎‎ ‎‎ ‎‎ ‎‎= 150 cm²

[tex]\\[/tex]

hope helpful ~

Question :-

If the Lenght of Rectangle is 10 cm and its Breadth is 15 cm . Then find the Area of Rectangle ?

Answer :-

Area of Rectangle is 150² cm .

[tex] \rule {210pt} {2pt} [/tex]

Given :-

Lenght of Rectangle = 10 cmBreadth of Rectangle = 15 cm

To Find :-

Area of Rectangle = ?

Solution :-

As per the provided information in the given question, we have been given that the Lenght of Rectangle is 10 cm . Breadth of Rectangle is given 15 cm . And, we have been aksed to calculate the Area of Rectangle .

For calculating the Area , we will use Area of Rectangle Formula :-

[tex] \sf {Area \: of \: Rectangle = Lenght \times Breadth} [/tex]

Therefore , by Substituting the given values in the above Formula :-

⇒ Area of Rectangle = Lenght × Breadth

⇒ Area of Rectangle = 10 × 15

⇒ Area of Rectangle = 150

Hence :-

Area of Rectangle = 150² cm

[tex] \underline {\rule {210pt} {4pt}} [/tex]

Additional Information :-

[tex] \begin{gathered}\begin{gathered}\boxed{\begin{array}{c} \\ \underline{ { \textbf {\textsf \red{ \dag \: \: More \: Formulas \: \: \dag}}}} \\ \\ \\ \footnotesize \bigstar \: \bf{Area \: _{Square} = Side \times Side} \\ \\ \\ \footnotesize\bigstar \: \bf{Area \: _{Rectangle} = Lenght \times Breadth} \\ \\ \\ \footnotesize \bigstar \: \bf{Area \: _{Triangle} = \frac{1}{2} \times Base \times Height } \\ \\ \\ \footnotesize \bigstar \: \bf{Area \: _{Parallelogram} = Base \times Height} \\ \\ \\ \footnotesize \bigstar \: \bf{Area \: _{Trapezium} = \frac{1}{2} \times [ \: A + B \: ] \times Height } \\ \\ \\ \footnotesize \bigstar \: \bf {Area \: _{Rhombus} = \frac{1}{2} \times Diagonal \: 1 \times Diagonal \: 2}\end{array}}\end{gathered}\end{gathered} [/tex]

What is -8 +-2 ? Please help

Answers

Answer:

-10

Step-by-step explanation:

-8 + -2

-8 -2

-10

Answer:

-10

Step-by-step explanation:

What mixed number is the arrow pointing to?'

1. 12 4/5
2. 12
3. 12 1/2
4. 12 2/3

Answers

Answer:

4. 12 2/3

Step-by-step explanation:

You count the number of intervals between it takes to get from 12 to 13.

It takes 6 times.

We see that the arrow is at the 4th interval.

So out of 6 intervals, the arrow is at the 4th interval

So 4th interval / 6th interval = 4/6

We reduce 4/6 to 2/3 because dividing both top and bottom by 2 gets us 2/3.

4/6 =  2/3

We have

12 2/3

Ambry ran a 3.1-mile race in 18 minutes.
What is Ambry's average pace in minutes per mile, to the nearest hundredth?

Answers

Answer:

5.81

Step-by-step explanation:

18/3.1 = 5.806, which rounds to 5.81.

What is the most reasonable answer for the following question? There are 1300 students at Eric B. Smith Middle School. Approximately 700 of the students take the bus home. 25% of the rest of the students that do not take the bus get a ride home. Approximately how many students get a ride home?

Answers

Answer:

150 students

Step-by-step explanation:

1300 - 700 = 600

600 x .25 = 150  (25% = 0.25)

Five more than one third of a number is -2. Find the number

Answers

1/3x + 5 = -2 is the way to set up the equation…. You got this!

Solve for b 6b + 16 = 94

Answers

Answer:

b=13

Step-by-step explanation:

First, subtract 16 from 94. 94-16=78

Then divide 6 into 78. 78/6=13

Therefore, b=13

Answer:

b=13

Step-by-step explanation:

6b+16=94

subtract 16 from both sides

6b=78

divide both sides by 6

b=13


Homework 4: Trigonometric Ratios &
Finding Missing Sides

solve for x

Answers

Answer:

[tex]\displaystyle 13,834311042... = x[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{x}{13} = csc\:70 \hookrightarrow 13csc\:70 = x \\ \\ 13,834311042... = x[/tex]

OR

[tex]\displaystyle \frac{13}{x} = sin\:70 \hookrightarrow xsin\:70 = 13 \hookrightarrow \frac{13}{sin\:70} = x \\ \\ 13,834311042... = x[/tex]

Information on trigonometric ratios

[tex]\displaystyle \frac{OPPOCITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOCITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOCITE} = csc\:θ \\ \frac{ADJACENT}{OPPOCITE} = cot\:θ[/tex]

I am joyous to assist you at any time.

solve for y in terms of x (rewrite each equation so that it starts with "y=")

a. 6x + 5y = 20

b. 4x - 8y = 16

thanks!

Answers

answers:

a. y = -6/5x + 4

b. y = 1/2x - 2

Step-by-step explanation:

a.

5y = 20 - 6x

y = 20/5 - 6/5x

y = -6/5x + 4

b.

-8y = -4x + 16

y = -4/-8x + 16/-8

y = 1/2x -2

The ice cream truck has a jar containing a slip of paper for each of the flavors . Shaun chooses three slips of paper without looking . What is the probability that Shaun's triple scoop cone contains two of his five favorite flavors ?

Answers

Answer: 5/31

explanation: there are 31 flavors in all. 5 are his favorite. Therefore, the answer is 5/31

irs. Miller
In how many ways can the survey be answered?
Our survey asked teens to place a 1, 2, 3, 4, or 5 next to each type of music Our survey lists country, classical hip-hop, oldies, and
alternative as music options. That's going to give us a bunch of answer
arrangements In this graphic, the students are ranking the musics: country, classical, hip-hop, oldies, and alternative from 1-5. So in how many ways can they be surveyed?

Answers

The number of ways the survey can be answered is an illustration of selection

The survey can be answered in 625 ways

How to determine the number of ways

The options are given as: 1 to 5

The types of music are given as: country, classical hip-hop, oldies, and

alternative

There are 4 music types.

This means that any of the 5 options 1 - 5 can be selected for each of the 4 music types.

So, the number of ways (n) is:

[tex]n = 5^4[/tex]

Evaluate the exponent

[tex]n = 625[/tex]

Hence, the survey can be answered in 625 ways

Read more about selection at:

https://brainly.com/question/251701

Review the graph of
Which point lies outside of the solution set? (y+4)^2/9-(x+1)^2/9>1

Answers

The point outside the solution set are the false values of the inequality

The point outside the solution set of (y+4)^2/9-(x+1)^2/9>1 is (-1,-1)

How to determine the point outside the solution set

The inequality of the graph is given as:

[tex]\frac{(y+4)^2}{9}-\frac{(x+1)^2}{9} > 1[/tex]

Next, we test the options

Option A. (-2,4)

This gives

[tex]\frac{(4+4)^2}{9}-\frac{(-2+1)^2}{9} > 1[/tex]

[tex]\frac{64}{9}-\frac{1}{9} > 1[/tex]

Evaluate the difference

[tex]7 > 1[/tex] -- this is true

Option B. (2,-12)

This gives

[tex]\frac{(-12+4)^2}{9}-\frac{(2+1)^2}{9} > 1[/tex]

[tex]6.1 > 1[/tex]  -- this is true

Option C. (-1,-1)

This gives

[tex]\frac{(-1+4)^2}{9}-\frac{(-1+1)^2}{9} > 1[/tex]

[tex]1 > 1[/tex]  -- this is false

Hence, the point outside the solution set of (y+4)^2/9-(x+1)^2/9>1 is (-1,-1)

Read more about solution sets at:

https://brainly.com/question/13729904

Answer: it is C (-1, -1)

Step-by-step explanation:

Line A passes through the points (-3, -1) and (4, 13).


Line B passes through the points (6, -1) and (-4, 19).


Find the point where line A intersects line B

Answers

Answer: (1.5, 8)

Step-by-step explanation:

Which equation illustrates the Associative Property of Multiplication? WILL MARK BRAINLEIST IF ANSWERED
3(x + 2) = 3x + 6
2xy = yx3
3x = 0
(3x)y = 3(xy)

Answers

Answer:

3(x+2)=3x+6

Step-by-step explanation:

i hope it helps

if its wrong let me know so i can change it or something or just remove my comment

Help please i need the answer

Answers

Step-by-step explanation:

but ... you had already correctly answered the first part.

L² + W² = d²

Pythagoras ...

all you needed to do now was do the calculations. no "brainware" needed ...

30² + 10² = d²

900 + 100 = d²

1000 = d²

d = 31.6227766... ≈ 31.6 units

A local craft store is selling different kinds of craft paint for $2, $3,
$2, $15, and $2. When placing an ad in the local paper, which
measure of central tendency should it use to advertise?

Answers

The measure of the central tendency of the local paper can be mean, median or mode

The local paper should use the median as the measure of the central tendency

How to determine the measure of central tendency

The dataset is given as:

$2, $3, $2, $15, and $2

Rearrange the dataset

$2, $2, $2, $3, $15

In the above dataset, $15 is relatively larger than the other dataset

This means that:

$15 is an outlier of the dataset

Median is not affected by outlier, while mean is affected by outliers

Hence, the local paper should use the median as the measure of the central tendency

Read more about central tendency at:

https://brainly.com/question/17726154

Write the ratio of 2 oranges to 3 apples in three different ways

Answers

Answer:

2:3

3:2

2/3

Step-by-step explanation:

Answer:

2:3

2 to 3

2/3

If you are comparing one data point (A) to another data point (B), your formula would be A/B. This means you are dividing information A by information B. For example, if A is five and B is 10, your ratio will be 5/10. Solve the equation.

Larry has a bowl of raspberries and blackberries. There are 2 more raspberries than blackberries, and there are 34 berries in all. How many raspberries does Larry have?

Answers

your equations are:
b+2=r
b+r=34
simplify to get that he has 18 raspberries and 16 blackberries
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A line is drawn on a coordinate grid by the equation y = 1. Which of the following lines would represent a row perpendicular to it? A. a line containing the point (5,2) B. y = 1 C. x = 4 D. y = 3 how many times can 64 go into 865? Explain why the United States wants Germany to stop using submarines to destroy the merchant ships of its enemies? If an older person went to the doctor with a fever, chills, body aches, and a cough, what would the doctor most likely suspect the person has? a. strep throat b. common cold c. meningitis d. influenza Factorize the expression 5ax + 25ay The scale factor of square W XYZ to square ABCD is 2:3. The perimeter of square ABCD is 36 ft.What is the perimeter of square W XYZ? what is the difference between actual body weight and ideal body weight Homeostatic ______ occurs when there is a disturbance in one or more of the bodys systems. Find the s..................... Translate the phrase into an algebraic expression: k dollars per 28 bottles. Say that Romania puts a tariff of 6% on its exports and 21% on its imports. If Romania has a trade deficit of (equivalent US dollars) $26. 76 billion and gained tariff revenue of $18. 9603 billion, how much are Romanias imports worth? a. $62. 56 billion b. $64. 29 billion c. $76. 17 billion d. $97. 04 billion. A 50.0 kg rock starting from rest free falls through a distance of 300.0 m with no air resistance. Find the momentum change of the rock caused by its fall and the resulting change in the magnitude of earths velocity. Earths mass is 6.0 1024 kg. Show all your work, assuming the rock-earth system is closed (b) The pizzeria sold 85 pizzas yesterday. Suppose the number of pizzas sold today was 60. Determine the percent increase or decrease in the pizzas sold, rounded to the nearest hundredth. Show your work._____________ % (Increase or decrease?) PLEASE SHOW WORK thank you :D The amount of money Patricia makes in a day is directly proportional to the number of hours she works. This relationship is modeled in the graph below. If Sheryl works 5 hours a day, she makes approximately:$60$70$55$65Can someone please answer! Help me please I really need the answer pharmasource employment interview questions help me pleaseeeeeeeeee pleasseee hellpp I'm confused someone please answer this, ill give you brainliest and your getting 100 points. A bear is applying force on a tree by rubbing its back on it. The strength of the force is 25 Newtons, and the direction is 35 degrees to the east from the northward direction relative to the tree.