substitute this equation x+3y=18 & -x-4y=-25

Answers

Answer 1

Answer:

 {x,y} = {3/7,-43/7}

Step-by-step explanation:

System of Linear Equations entered :

  [1]    x + 3y = -18

  [2]    -x + 4y = -25

Graphic Representation of the Equations :

   3y + x = -18        4y - x = -25  

 

 

Solve by Substitution :

// Solve equation [1] for the variable  x  

 

 [1]    x = -3y - 18

// Plug this in for variable  x  in equation [2]

  [2]    -(-3y-18) + 4y = -25

  [2]    7y = -43

// Solve equation [2] for the variable  y  

  [2]    7y = - 43  

  [2]    y = - 43/7  

// By now we know this much :

   x = -3y-18

   y = -43/7

// Use the  y  value to solve for  x  

   x = -3(-43/7)-18 = 3/7  

Solution :

{x,y} = {3/7,-43/7}


Related Questions

please help! A pack of cinnamon-scented pencils sells for $6.00. What is the sales tax rate if the total cost of the pencils is $6.18?

Answers

Answer:

The sales tax is 3%

Step-by-step explanation:

Given: O is the center of the given circle. If mBD = 122 find,
a. mc1
b. m 2
d. mz4
e. m 5
f. m26
c. M_3

Answers

Answer:

A and F

Step-by-step explanation:

Solve the following equation for h. 4 = hn

Answers

Answer:

[tex]h = \frac{4}{n}[/tex]

Step-by-step explanation:

Isolate the variable by dividing each side by factors that do not contain the variable.

Hence, you get the following answer:

[tex]h = \frac{4}{n}[/tex]

The diagram shows five shapes on a centimetre grid.
a) Write down the name of shape Z.
(1)

Answers

Answer:

Parallelogram

Step-by-step explanation:

It is a parallelogram, because one pair of opposite sides are parallel to each other.

Hope it helps :)

Please mark my answer as the brainliest

1 Zx and Zy are supplementary angles. Zy measures 65º. What is the measure of Zx?​

Answers

Answer:

zx=115'

Step-by-step explanation:

supplementary angles add up to 180'

180-65=115

Answer:

115°

Step-by-step explanation:

Given

Zy = 65°

Zx = ?

we know

Zx + Zy = 180° { being supplementary angles }

Zx + 65° = 180°

Zx = 180° - 65°

Zx = 115°

Hope it will help :)❤

can somebody help me ? please .. if you answer you’ll get 20 points & brainlyiest if correct! ( sorry i might have spelled brainly wrong )

fiona is building a model car 1/12 scale. the axle of the original car is 6 feet long and has a diameter of 3 inches. what would be the measure of the diameter of the axle of the model car?

// answer choices //
a : 1/4 inch
b : 1/2 inch
c : 1 inch
d : 3/2 inch
( ONLY ONE IS CORRECT ) .
i inserted the image , typed in the question so it should be no complaint please help me! if not it’s okay.. thanks for stopping by if you bypass this without answering .

Answers

Answer: I think it should be a: 1/4 inch

Step-by-step explanation:

Hello!! I have a question, can you please answer it. ^^
The school nurse is assembling first-aid kits for the teachers. She has 75 bandages and 90 throat lozenges.
All the kits must have the same number of each supply, and all supplies must be used.

a. What is the largest number of kits the nurse can make?

b. How many bandages and lozenges will be in each kit?

Answers

A) The largest amount of kits the nurse can make is 75.

B) There would be 1 bandages and 1 lozenges in each kit.

Answer:

A) The largest amount of kits the nurse can make is 75.

B) There would be 1 bandages and 1 lozenges in each kit.

Step-by-step explanation:

Pls, be quick I only have 20min.s!Also, pls be an expert.

Answers

Answer:

The first blank is 1/4, The second blank is also 1/4, the Final blank is 9

Step-by-step explanation:

If there are 4 quarts in a gallon, you multiply 1/4 by 36 because a quart is 1/4 of a gallon

36 multiplied by 1/4 is 9

hi please help. I will really appreciate it!

Answers

Answer:

sorry but it is not clear pleas take a more clear pic

Step-by-step explanation:

................................

The ratio of men to women in the astronomy club is 3 to 2. The club has
60 members. How many club members are women?

Answers

Answer:24

Step-by-step explanation:

3. Jim invests $3500, compounded annually at 12% for 3 years. What is the total
amount Jim will earn after 3 years?

A) 18,725.88
B)15,225.88
C) 19,157.48
D) 18,225.88

Answers

Answer:

None of the above, it should be $4760

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 12%/100 = 0.12 per year,

then, solving our equation

I = 3500 × 0.12 × 3 = 1260

I = $ 1,260.00

The simple interest accumulated

on a principal of $ 3,500.00

at a rate of 12% per year

for 3 years is $ 1,260.00

What is the equation for each line?​

Answers

Red: y= 2x
Black: y= 2x
Yellow: y= -3x
Green: zero slope
Blue: undefined slope

-5x+2y=16
Please help me

Answers

2y=5x +16

Y= 5/2x +16

Explanation: you bring the x over and change the sign. Then you divide all numbers by 2. Now you either graph or leave it, but I don’t know what you are being told to do next.

Can you help me please and thank yoh

Answers

Answer:

60, 3, 4, 150

Step-by-step explanation:

The top row you count by 1

On the second row you count by 30

What is the sum of d° + e°?

Answers

Answer:

d° + e° = 180°

Step-by-step explanation:

Please I Need Help

I'm stuck on this question ⁉️

Answers

Answer:

greater than

Step-by-step explanation:

Please forgive me if wrong

(50 POINTS) What transformation takes the graph of g(x)=x^2−5 to the graph of h(x)=x^2−1?

translation 4 units up


translation 1 unit up


translation 1 unit down


translation 4 units down

Answers

Answer:

translation 4 unites up

Step-by-step explanation:

the thing that is changing is the y intercept and the y intercept went up by 4 therefore it is a translation 4 units up

hope this helps (:

The transformation from the function g(x)=x²-5 to h(x)=x²-1 is translation 4 units up. Therefore, option A is the correct answer.

What is a transformation?

A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure. The original shape of the object is called the Pre-Image and the final shape and position of the object is the Image under the transformation.

The given functions are g(x)=x²-5 and h(x)=x²-1.

From the function g(x)=x²-5 to h(x)=x²-1, the translation by 4 units up.

Now, g(x)=x²-5+4

So, h(x)=x²-1

Therefore, option A is the correct answer.

Learn more about the transformation here:

https://brainly.com/question/11709244.

#SPJ2

TVs are usually measured as a diagonal distance across the screen for screen measures 15.1 inches in height and 19 inches diagonally what is the width of the screen round to the nearest 10

Answers

Answer:

11.53 inches

Step-by-step explanation:

Given data

Diagonal = 19 inches

Height=  15.1 inches

Let us apply the Pythagoras theorem

D^2= H^2+W^2

substitute

19^2= 15.1^2+W^2

361=228.01+W^2

361-228.01=W^2

132.99= W^2

W=√132.99

W=11.53 inches

Hence the width is 11.53 inches

A test has multiple choice questions worth 2 points and short answer questions worth 3 points. There are 45 points on the test. Write an equation in standard form that represents this situation using the
variables x and y
Help plz

Answers

2x+3y=45

x represents multiple choice questions

y represents short answer

you can also write it as 3x+2y=45

in this case, x represents short answer questions and y represents multiple choice.

if you can help i would be happy

Answers

Answer:

x =8

Step-by-step explanation

8 - 5 + 3 = 9    

3x^2-9x+0
Factor the trinomial

Answers

Answer:

3x (x-3)

Step-by-step explanation

3x^2 - 9x + 0

The equation.

3x^2 - 3^2 × x

What I did here is that I factored out 9x to 3^2 times x.

3x (3x^2 all over 3x - 3^2 × x/ all over 3x)

So that way I can divide the number in the parentheses by 3x to take 3x out of the parentheses to factor out.

3x (x^2-1 - (3^2-1) )

You simplify to get the final answer.

3x (x-3)

Final Answer.

I hope this helps!!!!

a) Simplify
X-2
7(x - 2)2

Answers

Answer:

the fist u cant simply is it will be x - 2

second is 14x-28

Step-by-step explanation:


Solve the following inequality for the variable, x

Answers

Answer:

x>12

Step-by-step explanation:

x+3>15

subtract 3 from both sides

x+3-3>15-3

simplify

x>12

hope this helps :) have a nice day !!

What is the approximate volume of the cylinder?

Answers

Answer:

V ≈ 509 m3 ← with  3.14 for π =2462 feet³

Step-by-step explanation:

I hope I helped, This is my math just round up :)

Find the 75th term of the arithmetic sequence -17, -13, -9....

Answers

Answer:

The 75th term of the arithmetic sequence -17, -13, -9.... is:

[tex]a_{75}=279[/tex]

Step-by-step explanation:

Given the sequence

[tex]-17, -13, -9....[/tex]

An arithmetic sequence has a constant difference 'd' and is defined by  

[tex]a_n=a_1+\left(n-1\right)d[/tex]

computing the differences of all the adjacent terms

[tex]-13-\left(-17\right)=4,\:\quad \:-9-\left(-13\right)=4[/tex]

The difference between all the adjacent terms is the same and equal to

[tex]d=4[/tex]

The first element of the sequence is:

[tex]a_1=-17[/tex]

now substitute [tex]d=4[/tex] and [tex]a_1=-17[/tex] in the nth term of the sequence

[tex]a_n=a_1+\left(n-1\right)d[/tex]

[tex]a_n=4\left(n-1\right)-17[/tex]

[tex]a_n=4n-21[/tex]

Now, substitute n = 75 in the [tex]a_n=4n-21[/tex] sequence to determine the 75th sequence

[tex]a_n=4n-21[/tex]

[tex]a_{75}=4\left(75\right)-21[/tex]

[tex]a_{75}=300-21[/tex]

[tex]a_{75}=279[/tex]

Therefore,  the 75th term of the arithmetic sequence -17, -13, -9.... is:

[tex]a_{75}=279[/tex]

you can buy 3 t-shirts for $22.50. write and solve a proportion that shows how many t-shirts you could buy with $110

Answers

Answer:

14.6 T-Shirt

Step-by-step explanation:

Well, you divide 22.50 and 3 and you get 7.5.

Once you get 7.5 you divide it by 110 which is 14.6

HELP AND YOU CAN GET THE CROWN

Answers

Answer:

g(r - 9) = r² - 18r + 89

Step-by-step explanation:

To evaluate g(r - 9), substitute p = r - 9 into g(p) , that is

g(r - 9) = (r - 9)² + 8 ← expand factor using aFOIL

           = r² - 18r + 81 + 8

           = r² - 18r +89

Sharon work 45 ½ hours. Her hourly wage is $18/hr. What is her gross pay

Answers

Answer:

$819

Step-by-step explanation:

45.5 *18=819

4
What is the result of 2-10?
.
1
5

Answers

Answer:

-3.14530027393739338363829263839

-Step-by-step explanation:

The Bald Eagle is an endangered species making a remarkable comeback. Its population has grown 6% annually since 1975, when there were only 575 nesting pairs in the continental USA. a) Is this situation ​linear​ or ​exponential​? Why?

Answers

Answer:

Exponential because the bald eagle is having to come back. I don't know why because this is a guess

Step-by-step explanation:

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