I need help with solving systems of linear equations through elimination.
1.) 8x = 3y + 38
24= 6y + 9x
a. all real numbers
b. (4,-2)
c. (4,-4)
d. (6,3)
2.) 6 = 2x + y
7x = 3 - 3y
a. (15,-36)
b. (-5,6)
c. (0,0)
d. (-15,36)
3.) 11x = 5 + 10y
7y = -2x +45
a. (-5,10)
b. (5,5)
c. (14, -4)
d. No solution

Answers

Answer 1

Answer:

See explanation

Step-by-step explanation:

8x = 3y + 38  

24= 6y + 9x  

Rearrange;

3y - 8x = -38       * 2     -------(1)

6y + 9x = 24       * 1       -------(2)

6y - 16x = -76    -------(3)

6y + 9y  = 24    -------(4)

Subtract (4) from (3)

     -25y = -100

      y= 100/25

     y = 4

Substitute y =4 into(1)

3y - 8x = -38    

3(4) - 8x = -38

12 -8x = -38

-8x = -38 - 12

x = 50/8 = 6 2/8

2) 6 = 2x + y

7x = 3 - 3y

Rearrange;

2x + y = 6            * 3    --------(1)

7x + 3y = -3         * 1     --------(2)

6x + 3y = 18        ---------(3)

7x  + 3y = -3        ---------(4)

Subtract (4) from (3)

-x   = 21

x = -21

Substitute x = -21 into (1)

2x + y = 6

2(-21) + y = 6

-42 + y = 6

y = 6 + 42

y = 48

3)  

11x = 5 + 10y

7y = -2x +45

Rearrange

11x - 10y = 5          * 2  ---------(1)

2x + 7y   = 45       * 11  ---------(2)

22x - 20y = 10     --------(3)

22x + 77y = 495  --------(4)

Subtract (4) from (3)

       -97y  = -485

          y =  5

Substitute y =5 into (1)

11x - 10y = 5  

11x - 10(5) = 5

11x - 50 = 5

11x = 5 + 50

11x = 55

x = 55/11

x = 5


Related Questions

3. Ditmas Middle School has 4,000 students. Montauk Middle School has
1/10 (one tenth) as many students as Ditmas Middle School. How many
students are there at Montauk Middle School.

Answers

Answer:

400 students

Step-by-step explanation:

4,000/10 = 400

Answer:

400

Step-by-step explanation:

10) If the original price is $76.50 and there is a 30% discount, what is the sale price?

Answers

10% of 76.5 is 7.65
x3 to get 30% so 22.95
Take this away from original because discount
76.5-22.95=$53.55

Answer:

$53.55

Step-by-step explanation:

30% off 76.50 = 22.95

76.50-22.95=53.55

Name the quadrant or axis where each point lies.

Answers

Point A is in Quadrant I where the x and y are both positive.

Point B lies in between Quadrants II and III. Or it lies on the x-axis (If this is an option).

Answer:

Point A: Quadrant 1

Point B: Either Quadrant 2 or 3

Step-by-step explanation:

Quadrant 1 is positive x and y

Quadrant 2 is positive y and negative x

Quadrant 3 is negative x and y

Quadrant 4 is negative y and positive x

Point A is both positive x and y

Point B has a y=0 and negative x, so it is between Quadrants 2 and 3

(hope this helps :P)

This circle graph shows the results of a survey that asked 80 people which method of transportation they use to get to the city park.

How many people take the bus to the city park?


20 people

25 people

32 people

40 people
Circle graph titled Methods of Transportation with Walk equals 10 percent, Bus equals 40 percent, Car equals 25 percent, and Bike equals 25 percent.

Answers

Answer:

the answer is 32

Step-by-step explanation:

Marcus needs 550 tickets to get the prize he wants at the arcade. He already has 125 tickets and can earn 24 tickets each time he plays an arcade game. How many games will he have to play in order to have enough tickets to win the prize he wants?

Answers

he has to play 17 or 18 games

PLS HELP WILL GIVE MANY POINTS

Answers

Answer:

There is a site where you can look these up, Try to look it up on the internet heres some sites, For Homework: slader

math -

way

explanation:

I cannot read the images clearly

Please Help Me. I will Give 20 Points. Help Me Por Favor

Answers

Answer:

10,080cm for the whole thing.

the lateral part of the triangular prism is 1680cm

Step-by-step explanation:

30 x 25 = 750cm

30 x 24 = 720cm

30 x 7 =  +210cm

              1680cm

25 x 24 =    600cm

600 x 7 = +4200cm

                  4800cm

4200cm x 2 = 8400cm (both of the triangles)

  1680cm

+8400cm

10,080cm

Is this expression equivalent to 1.5?

0.15 / 10

(0.15 divided by 10)

Answers

Answer:

False

Step-by-step explanation:

0.15/10 equals 0.015

1/4kg of flour with 2/9kg of suger how much all togather

Answers

Answer:

17/36

Step-by-step explanation:

solve for b, i already solved for A
will give brainliest

Answers

Answer:

b=23 degrees

Step-by-step explanation:

a was 66 degrees so b=23 degrees   180-90-66=23

please hurry, i need the answer
Given the histogram, use the drop-down menus to identify the elements.

Zero frequency:
A peak:

Answers

Answer:

Zero frequency: [tex]351-400[/tex]

A peak: [tex]851-700[/tex]

Step-by-step explanation:

A histogram is a graphical representation that organizes a data in the form of rectangular bars.

From the given diagram of histogram,

Zero frequency: [tex]351-400[/tex]

A peak is a bar that is taller than the rest of the bars.

A peak: [tex]851-700[/tex]

Answer:

Zero Frequency: 351-400

A Peak: 651-700

Step-by-step explanation:

Got it right on Edge

4600 people attended a football game. If 10% of the people who attended were teenagers, how many teenagers attended the game?

Answers

Answer:

460 teens

Step-by-step explanation:

10% = 0.1

multiple 0.1 by 4600 to get the amount of teens at the game. You could also do 4600/10 = 460

Mr. Twain asked the students in his class to draw the figure below using a scale factor
2 in.
3.1 in.
3.9 in.
4.5 in.
Student
Response
5 in.
Mark
Samantha
6 in.
Divia
1.3 in.
Cheng
0.9 in.
Candice
11.7 in.
Select all students that answered Mr. Twain's question correctly.

Answers

Answer:Mark

Step-by-step explanation:Diva

Answer:

Samantha and Candice

Step-by-step explanation:

In the question it says a scale factor of 3 which means you have to multiply all sides by 3 and when I multiply all sides by 3 ; Samantha and Candice were the correct match.

12 = 1.5x
Solve each equation algebraically

Answers

Answer:

x=8

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

I am assuming you want me to answer the equation provided in the picture, therefore I will provide you with the answer.

So we have [tex]\frac{3}{5} x[/tex] = 21

When it comes to equations with a variable, our goal is to isolate the variable, so let's start.

[tex]\frac{3}{5} x[/tex] = 21

1. Combine multiplied terms into a single fraction :

[tex]\frac{3x}{5}[/tex] = 21

2. Multiply both sides by the denominator :

5 * 3/5 = 3

5 * 21 = 105

3x = 105

3. Divide both sides by 3 :

[tex]\frac{3x}{3} = \frac{105}{3 }[/tex]

x = 35

4(b+2)=40 what is the value of b?

Answers

Answer:

Step-by-step explanation:

4b+8=40

4b=32

b=8

B is 8 since 8 mines 40 is 32 divided it by 4 is 8

367589+667556755788654578645

Answers

Answer: 667556755788655000000

Step-by-step explanation: braniliest pls

What is the answer to 8.4 - 2.91 ?

Answers

Answer:

5.49

Step-by-step explanation:

reduce..........

5.49 doggy woggy woggy woggy woggy woggy also its 5.49

Write the inequality for the following: four times a
number increased by 2 is less than -24.

Answers

4 · n + 2 < -24

Hope this helps! Good luck! :)

the answer is x< -7

ABCD is a parallelogram
M is the midpoint of CB
N is the midpoint of AB
DA = a
DC = c
a) find, in terms of a and c, the vector of MN
b) show that CA is parralel to MN

Answers

Answer:

Part a)

MN = 0.5a-0.5c

Part b)

MN=0.5a-0.5c

CA=a-c

CA is parallel to MN because 2×MN = CA.

Step-by-step explanation:

Part a = We know that ABCD is a parallelogram (stated), thus opposite sides must be equal. So given that DA = a, CB = a, DC = c, AB = C.

MN = MB+BN, so as M is the midpoint of CB then MB = 1/2 a and as we are going against AB (we are doing BN) then it will be -0.5c as N is the midpoint of AB.

Part B= More of a mathswatch error, where you have to quite literally put the precise answer. CA = CD+DA so -c (as we are going the opposite way to DC) + a.

CA = -c+a

Now CA is a multiple of MN. But Mathswatch prefers if you say that CA is parallel to MN because MN times 2 is equal to CA

In this exercise we have to use the knowledge of parallelogram and vectors to give the values ​​of each one of them, like this:

A) MN = 0.5a-0.5c

B)CA is parallel to MN because 2×MN = CA.

First, we have to remember the definition of parallelogram:

A polygon is any flat closed shape made of straight line segments. A parallelogram is a polygon with 4 sides in which sides that don't touch each other are parallel.

A) We know that ABCD is a parallelogram, thus opposite sides must be equal. So given that:

[tex]DA = a,\\CB = a, \\DC = c, \\AB = C.[/tex]

[tex]MN = MB+BN\\MB = 1/2\\BN=-0.5c\\MN = 0.5a-0.5c[/tex]

B)Where you have to quite literally put the precise answer, so we have that:

[tex]CA = CD+DA \\CD=-c\\DA=a\\CA = -c+a\\[/tex]

See more about parallelogram at brainly.com/question/555467

The Commutative Property for addition and multiplication
means you can switch the order of the numbers and still get
the same answer.
8+ 1 = 9 and 1 + 8 = 9
9*1 = 9 and 1 * 9 = 9
In which expression below is the Commutative
Property possible?
С
B
A
s/2
8-f
3.w

Answers

C: 3 • W

The communitive property works for multiplication and addition and this one is multiplication

Answer:

3*W

Step-by-step explanation:

3*W = 3W

Or you can switch them around and still have the same answer

W*3= 3W

answer for brainliest

Answers

Answer:

that would be A my good sir (or ma'am)

Step-by-step explanation:

9m+4n-9m what is this

Answers

4n because both 9m’s will cancel eachother out since one is negative and One is positive.

30÷11
[tex]30 + 1[/tex]

Answers

30/11= 2.72....(repeating)

30+1= 31

if that’s what you’re asking?

Please help me with this!!

Answers

Answer:

A

Step-by-step explanation:

when there's a negative number as an exponent you flip the base number

so it would be 1/(10^3)

10^3= 1000

so it's 1/1000

The length of a rectangle is four times the width. The perimeter of the rectangle is 45 inches. Write a system of
equations that represents this problem. What is the area of the rectangle?

Answers

Answer:

81 square inches.

Step-by-step explanation:

Draw a diagram to represent what you know.

You don't know the values of the lengths so represent them algebraically.

You know the perimeter is 45 inches and that the perimeter is calculated by the sum of all of the sides of a shape.

You can rearrange to find the value of a side you've denoted as some unknown variable.

The area is given by the product of the sides. Express this algebraically and then input the value you found.

How can i state whether each graphs represents a function? ​

Answers

if it has 2 dots on the same vertical line then it is NOT a function.

Which statements are true about the parabola represented by the equatlon y = 3x 2 -15x+30​

Answers

y = 3x² - 15x + 30
y = 3(x² - 5x) + 30
y = 3(x² - 5x + (5/2)²) + 30
y = 3(x - 5/2)² + 30
The parabola opens upwards. Vertex at (5/2, 30)

the point u(3 , -4) is reflected over the x -axis what are the coordinates of the resulting point , u'?

Answers

Answer:

Please find attached pdf

Step-by-step explanation:

Jessica‘s mom is 30. Jessica‘s daughter is zero years old. Jessica‘s mom had Jessica at 15 years old. Jessica is 15 years old. Jessica‘s grandma is 45. Jessica‘s great grandma is 60. How old is Jessica‘s great great great great great great grandma? I know the answer it’s just so everybody can have extra points yay. Must show work. How many music part is Jessica grandma to her great great great great great great grandma?

Answers

Jessica‘s mom is 30. Jessica‘s daughter is zero years old. Jessica‘s mom had Jessica at 15 years old. Jessica is 15 years old. Jessica‘s grandma is 45. Jessica‘s great grandma is 60. How old is Jessica‘s great great great great great great grandma? I know the answer it’s just so everybody can have extra points yay. Must show work. How many music part is Jessica grandma to her great great great great great great grandma?

Answer:

135

Step-by-step explanation:

jessica's family as a rule to give birth at the age of 15 clearly so you 5 lots of 15 to 60 and boom. simple

If you have the equation, y=2x+10 what’s x if y=24

Answers

Answer: x=7

24=2x+10

24-10=14

14=2x

14/2=7

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