Solve the simultaneous equations

x
+
6
y
=

26
x
+
5
y
=

18

Answers

Answer 1

Answer:

x=2, y = -4.

or as an ordered pair it is (2, -4).

Step-by-step explanation:

-x + 6y = -26

x + 5y =  -18      Add these 2 equations to eliminate x:

0 + 11y = -44

y = -44/11 = -4.

Now substitute y = -4 in the first equation:

-x + 6(-4) = -26

-x - 24 = -26

-x = -26 + 24 = -2

x = 2.

Check the result by substituting in equation 2:

x + 5y = 2 + 5(-4) = 2 - 20 = -18  - checks out.


Related Questions

What type of triangles has no equal sides and one right angle?
right isosceles triangle
right scalene triangle
isosceles triangle
right triangle

Answers

Answer:

arwa

Step-by-step explanation:

A scalene triangle has no equal length sides. It also has no equal inside angles. These triangles can be acute (all angles less than 90°), right-angled (one angle is 90°), or obtuse (one angle is more than 90°)

Answer:

Right scalene triangle

Step-by-step explanation:

Scalene triangles have no equal sides. A right scalene triangle has no equal sides, and one right angle.

The length of 12cm and 5 cm missing one

Answers

Answer:

13cm

Step-by-step explanation:

Let the given lengths be the opposte amd adjacent sides of a right triangle'

The missing side will be the hypotenuse

Using the pythagoras theorem;

hyp^2  = 5² + 12²

hyp² = 25 + 144

hyp² = 169

hyp =√169

hyp = 13cm

Hence the missing one is 13cm

can someone pls help me w this? it’s trig,, thank you so much!

Answers

Answer:

It's a right angle triangle with

                        [tex]tan 12 = \frac{500}{x} \\\\x = \frac{500}{tan12}\\\\x = 2352.3ft[/tex]

SOMEONE PLEASE EXPLAIN THIS TO ME. IVE GOTTEN THIS WRONT 3 TIMES AND I DONT KNOW WHAT IM DOING WRONG

Answers

Answer:

I believe the answer is 58.1 degrees

Step-by-step explanation:

acrsin 45/53=58.1

45/53 is the sin of P

Solve the expression below: 3(x-3) + 2x(4x+6)=

Answers

Answer:
8x^2 + 15x -9

Explanation:
Distribute and combine
8x^2+15x-9 hope this helps

help no files and no links pls help

Answers

Answer:

X would be equal to 37 degrees

Step-by-step explanation:

Answer:

x=37

Step-by-step explanation:

118+25+x= 180

143 + x = 180

= 37

check answer by 25+118+37=180

I NEED HELP FAST! I NEED THESE MATH SHEETS CHECKED OVER ( will be given brainly )

there is one additional problem and it is r^10s^6/r^-5s^9

Answers

Answer:

The answer is r^10s^6/r-5s^9= r^10/r-^5 = r^15

Step-by-step explanation:

the answer is r^15

find the value of x pls help

Answers

Answer:

x = 16

Step-by-step explanation:

*A triangle's interior angles always add up to 180 degrees*

1. The square on the left-hand side means 90 degrees

2. To find the degrees on the 150 degrees side we need to subtract 180 from 150  as the line it's on equals 180 degrees

180 -151 = 29

3. Now we know 3 out of the two angles, so if we add them up and subtract them from 180 degrees we will have the 3rd angle

29 +90 = 119

180 - 119 = 61

4. Now we can put that in with the equation

4x + 3 = 61

5. Solve

4x - 3 = 61

    + 3   +3

4x = 64

/4     /4

x = 16

The mean age of the employees at a large corporation is 35.2 years, and the standard deviation is 9.5 years. A random sample of 4 employees will be selected. What are the mean and standard deviation of the sampling distribution of the sample mean for samples of size 4

Answers

Answer:

35.2 ; 4.75

Step-by-step explanation:

Given that :

Mean age, μ = 35.2 years

Standard deviation, σ = 9.5 years

The mean of the sampling distribution will be equal to the population mean, μ, this is according to the central limit theorem.

The standard deviation of the sampling distribution, is given by : σ/√n

n = sample size = 4

SD of sampling distribution = 9.5/√4 = 9.5 / 2 = 4.75


Can someone plz help me on this I’ll appreciate it thank you sooo much

Answers

Answer:

Step-by-step explanation:

Nope<3;p

Is someone smarten than me plz

Answers

Answer:

11.70

Step-by-step explanation:

d=√((16-5)^2+(14-10)^2)=11.7046999...

What’s the value of x

Answers

Answer:

x= 20

Step-by-step explanation: 20+5 is 25 degrees 20 times 7 is 140-5 is 135 degrees +20 degrees equals 180 degrees

A silo has a cylindrical part and a roof that is a hemisphere.
The radius of the cylinder is 3m and its height is 12m.
Find the volume of the silo.

Answers

Answer:

339.29

Step-by-step explanation:

Use formula for cylinder: [tex]V=\pi r^2h[/tex].

Note: I rounded to the nearest hundreth.

HELP ME PLEASE!! I’ve been going at it but I just can’t.

Answers

it’s 3696 m^3 . volume is just length x width x height or l x w x h. just multiply all the numbers given.

Two points A and B on a plan represent two localities 12 m apart. Given that the segment AB is 6cn long, find the scale used to draw the plan.

Answers

Answer:

The scale is 1:200

Step-by-step explanation:

On the plan we have the drawing as 6 cm

In real representation, we have the distance as 12 m

Firstly we have to convert to same unit

In this case, we use the cm for convenience

Mathematically, 100 cm is 1 m

Thus, 12 m

will be 12 * 100 = 1,200 cm

So, we have the ratio as;

6 cm : 1,200 cm

and that is 1:200 (since 6/1200 = 1/200 and in ratio form, we have that as 1:200)

Craig earns the same amount of money each month. His telephone bill is 1/20 of his monthly earnings, and he pays a total of $720 each year for his telephone service. How much does Craig earn each month, in dollars?

Question 3 options:

$1,200


$1,600


$60


$120

Answers

Answer:

Hello! answer: 1,200

Step-by-step explanation:

We know he pays 720 in a year so i divide that by 12 so... 720 ÷ 12 = 60 so he pays 60 each month for his telephone service since thats only 1/20 of his earning what I do is 60 × 20 and we get 1200 so craig makes 1200 a month hope that helps!

$1200, Craig earns each month.

What is ratio?

The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.

Let's assume Craig earns $x per month.

The telephone bill is 1/20 of his monthly earnings, which is (1/20)x.

He pays a total of $720 each year for his telephone service.

Since there are 12 months in a year,

he pays (1/12) * 720 = $60 per month for his telephone service.

Therefore,

(1/20)x + $60 = x,

as he earns the same amount each month.

Simplifying the equation,

we get x/20 = $60

Multiplying both sides by 20,

we get x = $1,200

Therefore, Craig earns $1,200 per month.

Learn more about ratios here:

https://brainly.com/question/13419413

#SPJ3

Find the volume of this triangular prism.
Be sure to include the correct unit in your answer.
6 ft
10 ft
7 ft

Answers

Ummmm I think it’s 6 ft but I’m not sure

help!! need this turned in by today!

Bob the Wizard makes magical brooms. He charges 125 gold pieces for each magical broom he makes for
his customers. He also charges a one-time fee of 50 gold pieces for his initial consultation.
The total number G of gold pieces Bob charges is a function of 2, the number of magical brooms he makes
Write the function's formula.
G =

Answers

Answer:

G = 50

Step-by-step explanation:

50 is the initial after-cost, right?

answer is : The function formula will be

Since we have given that

Charges per each magical broom he makes for his customers = 125 gold pieces

Charges of one time fees = 50 gold pieces

Let the number of magical brooms he makes be 'x'.

Let the total number of gold pieces be 'G'.

According to question, it becomes

Step-by-step explanation:Since we have given that

Charges per each magical broom he makes for his customers = 125 gold pieces

Charges of one time fees = 50 gold pieces

Let the number of magical brooms he makes be 'x'.

Let the total number of gold pieces be 'G'.

According to question, it becomes

Since we have given that

Charges per each magical broom he makes for his customers = 125 gold pieces

Charges of one time fees = 50 gold pieces

Let the number of magical brooms he makes be 'x'.

Let the total number of gold pieces be 'G'.

According to question, it becomes

what is the variable if 13 and p

Answers

Answer:

p because variables are shown by letters not numbers

Hope this helped:)

Step-by-step explanation:

If the principal is $4,500 and the rate of interest is 8%, what is the amount of interest after one year? Formula is I =PRT

Answers

Step-by-step explanation:

I=?

P= $4500

R=8%=0.08

T=1 year

8%*0.01= 0.08

I=(4500)(0.08)(1)

(4500)(0.08)=360

360*1=360

The interest after one year is $360

A 70 cm long stick is cut into two parts in such a way that the longer part is 20 cm longer than the shorter part. How long is each part?

Answers

Answer:

Long part= 45

Short part= 25

Step-by-step explanation:

Let the short part of the stick be x

Let the long part be x+20

The total length of the stick is 70cm

x + (x+20)= 70

x+x+20= 70

2x+20= 70

2x= 70-20

2x= 50

x= 50/2

= 25

Longer part length= 20+25

= 45

The short part is 25

what is linear graph​

Answers

Answer:

A linear graph is nothing but a straight line or straight graph which is drawn on a plane connecting the points on x and y coordinates.

Answer: is a diagram which shows a connection or relation between two or more quantity.

Step-by-step explanation:

PLEASE HELP!!!!!!!!!!!!!!!
Solve the following inequality. Show all work.

−4 + 2 ≥ 20

Answers

Answer:

The answer is -2 ≥ 20

Step-by-step explanation:

You add -4 and 2

A chipmunk population is experiencing exponential growth with a population growth rate of 265 individuals/year, and a per capita rate of increase of 0.15. How many chipmunks are currently in this population

Answers

Answer:

There are 1766 chipmunks in the population

Step-by-step explanation:

Number of individuals increasing per year = 265

Rate of increase = 0.15

Rate of increase = increase in number of individuals in a given population /total population

Substituting the given values, we get -

0.15 = (265/total population)

Total population = 265/0.15 = 1766

Who could help me please and thank you

Answers

Answer:

( Hint)

Step-by-step explanation:

55-5= 5x>-25-5

50= 5x>-30

10=x>-6

Sam is using the expression m/8n in class. what is the value of the expression when m = 4 and n = 1/2?

Answers

Answer:

1

Step-by-step explanation:

m/8n > 4/8(1/2) ( since its 1/2 all u need to do is change the fraction to whole number which is 1/2 = 0.5)

The given will become 4/4 then simplest form is 1

Multiplying by which number is equivalent to finding 15%?

Answers

.15 is your answer, seeing as .15 is equivalent to 15%

Answer:

The answer is still 15. Because

The number is × which is 0.so it is still 15%

Please help I have a test tomorow and I just want to know if I'm correct on my answer I got x=2p on question 11,D​

Answers

Answer:

Yea you correct, you answer is right

On which interval is the function decreasing?
A)40 to 44 seconds
B) 56 to 60 seconds
C) 64 to 66 seconds
D) 72 to 76 seconds

Answers

C) 64 to 66 seconds

On the other intervals, the function is increasing, but on this interval, it is decreasing in y value.

[tex]\huge{ \mathfrak{ \underline{ Answer \: \: ✓ }}}[/tex]

C.) 64 to 66 seconds

because, the function is decreasing with respect to time between interval 64 to 66 seconds.

[tex]\#TeeNForeveR[/tex]

A b or c ? Help please

Answers

Answer:

The second one I think

Step-by-step explanation:

Answer:

Center: (−3,2)

Radius: 3

Step-by-step explanation:

Other Questions
How did the Iranian Hostage Crisis impact the legacy of President Jimmy Carter?Your answer:O Carter was seen as a peaceful negotiator working to save the captured Americanso Carter was seen as weak on terrorismo Carter's position gave him political leverage in the Middle East0 Carter's delay in saving the hostages allowed him to negotiate the Camp David Accords. A skydiver jumps from a plane 10,000 feet above ground level. The height of the skydiver above the ground, in feet, can be modeled using the polynomial 32t2+10,000 in the absence of friction. Use the interactive below to calculate the average velocity over various intervals and to make observations about the relationship between average velocity and instantaneous velocity. who ever makes me a paragraph following these steps will get a good rating and a brainlest and have a chose to be my friend if they want. The outsiders. viogbihpibguvhjykugbilvkguigbu Book code word courage just beginning to most of the middle ignore the page numbers there r 4 boxes please help PLSS HELP Solve x/3 = 6 for x. A) x=9 B) x=2. C) x=3. D) x= 18 write an equation that represents the line. Facial shaving brushes are either bulb-shaped or fan-shaped. An experiment is to be conducted to determine whether the lather thickness is the same for both types of shaving brushes. In previous studies, it was determined that shaving brush size (small, medium, large) is associated with lather thickness, but shaving brush type (Wolf Whiskers, Maggard Razors, Frank Shaving, and so on) is not associated with lather thickness. How could the experiment BEST be conducted? a) By blocking on shaving brush sizeb) By blocking on shaving brush typec) By blocking on shaving brush shaped) By blocking on lather thicknesse) Without blocking Each square represents one square foot. Estimate the area of the figure below. What is the value of x?O 1031010XO 513o 5602345678910 11 3. If a frame usually sells for $13, and is on clearance for 55% off:a. How much is the discount?b. What is the final price of the frame? Isabel stacked two wooden blocks as shown. What is the total volume of the stacked blocks?A. 60 cm3B. 35 cm3C. 96 cm3D. 156 cm3 Can someone help me out with my math homework my grades are bad hello please help ill give brainliest A small hot surface at temperature Ti-430K having an emissivity 0.8 dissipates heat by radiation into a surrounding area at T2-400K. If this radiation transfer process is characterized by a radiation heat transfer coefficient h, calculate the value of h (a) 14.4 W/m2.C (b) 114.4 W/m2C (c) 314.4 W/m2.C ( 514.4 W/m2.c who is Pythagoras and his contributions to the world of mathematics Achieving sustainability of diverse ecosystems and resources in the ocean depends upon collective and individual actions. Describe what steps you would take to achieve this sustainability as a citizen. please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!! 87=x+4 in exponential form The chemical structures of eugenol and iso eugenol differ in what way?a)Alkene location on aliphatic chainb)Alkene geometry on aliphatic chainc)Substitutions on the aromatic ringd)These compounds are diastereomers of one another.