solve the simultaneous equations
8x+3y=45 2x+3y=27

Answers

Answer 1

Answer:

x = 3 and y = 7

Step-by-step explanation:

Given that,

8x+3y=45 .......(1)

2x+3y=27 ........(2)

We need to solve equations (1) and (2)

Multiply equation (2) by 4.

8x+12y=108 .....(3)

Subtract equation (1) from (3).

8x+12y-(8x+3y)=108-45

12y-3y = 63

9y = 63

y = 7

Put the value of y in equation (1).

2x+3(7)=27

2x+21 = 27

2x = 27-21

2x = 6

x = 3

So, the values of x and y are 3 and 7 respectively.


Related Questions

you have a spinner divided into 5 equal sections each section is number with a number 1 through 5 theoretically what is the probability of spinning and landing on a five​

Answers

Answer:

20%

Step-by-step explanation:

1/5 = 20/100 = 20%

Answer:

1/5

Step-by-step explanation:

probability- number of favorable outcomes/ number of total outcomes

in this question,

number of favorable outcomes is 1.

and, the number of total outcomes is 5.

so, probability of spinning and landing on 5 is 1/5.

If -x = 20, then x = ?

Answers

Answer:

[tex] - x = 20 \\ so \: x \: will \: be \: = - 20[/tex]

Hope it helps!

Answer: x = -20

Step-by-step explanation:

Question: If -x = 20, then x = ?

Multiply both sides of the equation by -1

(-1)(-x) = (-1)(20)

Simplify (remember that multiplying two negative numbers equals a positive number)

x = -20

A monitor measures 10.6 inches by 16.8 what is the length of the diagonal

Answers

Step-by-step explanation:

We will use pythagoras' Theorem for this question

[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]

where c is the longest side (in this case, the diagonal)

a and b are the 2nd and 3rd longest side (interchangeable)

given a = 10.6, b = 16.8,

[tex] {c}^{2} = {10.6}^{2} + {16.8}^{2} \\ {c}^{2} = 112.36 + 282.24 \\ {c}^{2} = 394.6 \\ c = \sqrt{394.6} \\ = \frac{ \sqrt{9865} }{5} inches[/tex]

The difference between -7 and a number x is no more than -2/3

Answers

Answer:

Pregunta muy difícil, no creo que pueda resolver este amigo.

Step-by-step explanation:there is no step-by-step thing because honestly don't understand what your trying to say here. Hmm...


Ixlllllllllllllllllllllllll

Answers

Answer:

am afraid am going to do a cooked method.this is the only way I can help please forgive me.

Step-by-step explanation:

answer is 5.9

Find the measure of one exterior angle. Round your answer to the nearest 3 points
tenth if necessary.
Your answer
Find the measure of one exterior angle. Round your answer to the nearest tenth of necessary

Answers

Answer:

aikajwbuabsbss

abhsua w

wmhabw

A goliath grouper at the local aquarium ate 112 fish over the course of 8 hours. At this rate how many fish can he eat in 3.5 hours

Answers

Answer is 49

112 divided by 8 is 14
14 multiplied by 3.5 is 49

Evaluate the expression if x = 3.
5x – (4 + x)

-

do not post any links.

Answers

Answer:

the answer is 8

Step-by-step explanation:

5 times 3 is 15

4 plus 3 is 7

15 minus 7 is 8

Triangle DEF has an angle D measuring 25 degrees and an angle E
measuring 50 degrees.
What is the measure of angle F, in degrees?

Answers

Answer:

The angle F of the triangle DEF measures 105 degrees.

Step-by-step explanation:

Given that triangle DEF has an angle D measuring 25 degrees and an angle E measuring 50 degrees, to determine what is the measure of angle F in degrees, knowing that the sum of the internal angles of every triangle gives a total of 180 degrees, we must perform the following calculation:

180 - 50 - 25 = F

130 - 25 = F

105 = F

Therefore, the angle F of the triangle DEF measures 105 degrees.

A real estate developer is considering investing in a shopping mall on the outskirts of Atlanta, Georgia. Three parcels of land are being evaluated. Of partic- ular importance is the income in the area surrounding the proposed mall. A ran- dom sample of four families is selected near each proposed mall. Following are the sample results. At the .05 significance level, can the developer conclude there is a difference in the mean income?
Southwyck Area Franklin Park Old Orchard
64 74 75
68 71 80
70 69 76
60 70 78

Answers

Answer:

I dont know.

Step-by-step explanation:

sorry

help please

Find the x-intercepts for the parabola defined by the equation below.
y= x^2-9x+ 18
A. (-3,0) and (-6,0)
B. (0, -3) and (0, -6)
c. (0,3) and (0,6)
D. (3, 0) and (6.0)

Answers

Answer:

The answer correct (D).

The x-intercepts for the parabola defined by the equation y= x²-9x+ 18 are (3, 0) and (6.0)

What is quadratic equation?

A quadratic equation is a second-order polynomial equation in a single variable x , ax2+bx+c=0. with a ≠ 0 .

We have to find the  x-intercepts for the parabola y= x²-9x+ 18

We have to make y as zero to find the x intercepts

x²-9x+ 18 = 0

This equation is in the form of quadratic equation

x² -6x-3x+18=0

x(x-6)-3(x-6)=0

(x-3)(x-6)=0

x=3 or x=6

Hence, the x-intercepts for the parabola defined by the equation y= x²-9x+ 18 are (3, 0) and (6.0)

To learn more on Quadratic equation click:

https://brainly.com/question/17177510

#SPJ7

Find the slope of the line passing through the points (6,6) and (6, -7).
slope: 1

Answers

Answer:

The line is a vertical line, which does not have a slope.

Step-by-step explanation:

Slope of a line:

Suppose we are given two points in the format (x,y) of a line. The slope is given by the change in y divided by the change in x.

(6,6) and (6, -7).

Change in y: -7 - 6 = -13

Change in x: 6 - 6 = 0

Slope is a division by 0, which means that the line is a vertical line, which does not have a slope.

In how many years will $12000 yield an interest of $13230 at %10 simple interest

Answers

Answer:

the answer is 11.025

11.025 is the correct amount of years will be taken

Pam wants to put a banner across her garage door to congratulate her son on his college graduation. The garage door is 9 feet high and 12 feet wide. How many feet long should the banner be to fit the garage door?

Answers

9514 1404 393

Answer:

  15 feet

Step-by-step explanation:

The diagonal of a 9 ft by 12 ft rectangle is given by the Pythagorean theorem as ...

  d = √(9² +12²) = √225

  d = 15 . . . . feet

The banner should be 15 feet long to match the length of the door diagonal.

A pizzeria sells 1 pizza pie for $13, 2 for $23, 3 for $33, and 5 for $53.
Is that a proportional relationship? yes or no?

Answers

Answer:

Yes, 10 dollars are added each time

Step-by-step explanation:

What angle maximizes the area of the triangle below?

Answers

Answer:

90°

Step-by-step explanation:

Area of triangle with sides a and b and included angle Θ:

A = (1/2)ab * sin Θ

dA/dx = (1/2)ab cos Θ

(1/2)ab cos Θ = 0

cos Θ = 0

Θ = 90°

Graphing rational functions. I need help asap!!!!

Answers

Answer:

1.  

Vert. asymptote: x = {-3, 2}

Horiz. asymptote: y = 0

x-int: None

Question 3.

a. There is no hole

b. Vert. asymptote: x = {-2, 2}

c. f(x) = 0: x = {0, -1/2}

d. The graph has no hole at (-2, 4)

Question 4.

a. Vert. asymptote: x = {-2, 2}

b. f(x) = 0: x = {0, -1/2}

c. Horizontal asymptote: y = 2

d. The graph has no hole

I'm a bit confused.  Some of the things stated in the question aren't true like how there are holes in places where there aren't.

pls help me and I will mark u as brainliest ​plsss anyone i am beginning you plsss help

Answers

Answer:

315°

Step-by-step explanation:

What is the mean of swim club a and b

Answers

Answer:

257

Step-by-step explanation:

First you have to add all of them up then divide by how many there are:) good luck.

Answer:

Swim Club A: 30

Swim Club B: 50

Explanation:

Mean = Average of the numbers.

1. Add up all the numbers.

2.Divide by how many numbers there are.

Swim Club A:

15 + 20 + 25+ 30 + 35 + 40 + 45 = 210 210 ÷ 7 = 30Mean: 30

Swim Club B:

35 + 40 + 45  + 50 + 55 + 60 + 65 = 350350 ÷ 7 = 50Mean: 50

Isabel bought some books for $6 each and received a discount of $8 off of her total purchase. She spent $58 after the discount. How many books did she buy?

Answers

Answer:

She bought 11 books.

Step-by-step explanation:

If she spent $58 after the discount, then you can add 8+58 to see what the price would have been. 8+58=66. Then you divide 66 by 6 because each book costs $6. 66/6 = 11

At a restaurant, a meal gives a choice between 4 entrees: Steak, Chicken, Fish or Lamb chops, two sides: potato, or rice and three vegetables: broccoli, spinach, or cauliflower. Find the probability of the customer requires either a meal with potato and/or spinach?

Answers

There's a 25% chance that this would occur because there is 4 dishes and that divided by the full 100% is 25 so your answer is 25%

what force would be required to accelerate a 1,100 kg car to 0.5m/s?

Answers

Answer:

550 N

Step-by-step explanation:

We can solve the problem by using Newton's second law:

[tex]F=ma[/tex]

F is the force required to accelerate the car

m is the mass of the car

a is the acceleration of the car

In this problem, the mass is m=1100 kg, while the acceleration is a=0.5 m/s^2, therefore the force required to accelerate the car is

[tex]F=ma=(1100kg)(0.5m/s^{2} )=550N[/tex]

Hope this helps!

Evaluate the expression when c=8 and d= 4
c+7d

Answers

Answer:

36

Step-by-step explanation:

8+7(4)

8+28

36

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Answers

Answer:

21) Scalene - Right triangle, 22) Scalene - Right triangle, 23) Equilateral - Acute triangle, 24) Isoceles - Obtuse triangle, 25) Scalene - Right triangle.

Step-by-step explanation:

21) This triangle has three sides of distinct length and a right angle and two acute angles: Scalene - Right triangle.

22) This triangle has three sides of distinct length and a right angle and two acute angles: Scalene - Right triangle.

23) This triangle has three sides of same length and three acute angles: Equilateral - Acute triangle.

24) This triangle has two sides of same length and an obtuse angle and two acute angles: Isoceles - Obtuse triangle.

25) This triangle has three sides of distinct length and a right angle and two acute angles: Scalene - Right triangle.

Your answer should be  :1) Scalene - Right triangle, 22) Scalene - Right triangle, 23) Equilateral - Acute triangle, 24) Isosceles - Obtuse triangle, 25) Scalene - Right triangle.Step-by-step explanation:21) This triangle has three sides of distinct length and a right angle and two acute angles: Scalene - Right triangle.22) This triangle has three sides of distinct length and a right angle and two acute angles: Scalene - Right triangle.23) This triangle has three sides of same length and three acute angles: Equilateral - Acute triangle.24) This triangle has two sides of same length and an obtuse angle and two acute angles: Isosceles - Obtuse triangle.25) This triangle has three sides of distinct length and a right angle and two acute angles: Scalene - Right triangle.Step-by-step explanation:hope this help

Find the measure of angles 1-7(please help)

Answers

Answer:

Step-by-step explanation:

1. 70 deg (compliment angle of 110 deg.)

2. 65 deg (compliment angle of 115 deg.)

3. 65 deg (corresponding angle of angle 2)

4. 115 deg (corresponding angle of 115 deg.)

5. 45 deg (angles 1+3+5 = 180 deg. as sum of internal angles in a triangle)

6. 45 deg (alternate angle of angle 5)

7. 45 deg (corresponding angle of angle 5)

The campus at Joliet Junior College has a lake. A student used a Secchi disk to measure the clarity of the lake’s water by lowering the disk into the water and measuring the distance below the water surface at which the disk is no longer visible. The following measurements (in inches) were taken on the lake at various points in time over the course of a year. 826462666843382668565466a.Using the data above, compute a point estimate for the population mean and population standard deviation. b.Construct a 95% confidence interval for the mean Secchi disk measurements. Interpret this interval.c.Construct a 95% confidence interval for the population standard deviation Secchi disk measurements. Interpret this interval.

Answers

Thai ahahhahah 3x= 50y

8x+5
3x+8
Find the measurement of x!!

Answers

Answer:

Step-by-step explanation: look at the picture

A relay team of 4 people run 5 miles. How many miles does each person run?




Answers

Answer:

5 miles

Step-by-step explanation:

they all ran 5 miles

How can you find the area of a quadrilateral

Answers

Answer:

(½) × diagonal length × sum of the length of the perpendiculars drawn from the remaining two vertices.

Step-by-step explanation:

or you can solve for the area of the rectangle then the area of the triangle and add them together

Define a proportion.​

Answers

Answer:

a part, share, or number considered in comparative relation to a whole.

Step-by-step explanation:

Hope it helps u

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