- 10x - y = 27
- 4x - y = 9
Find the solution of the system equation.

Answers

Answer 1

Step-by-step explanation:

-10x - y = 27 ...1

-4x - y = 9 ...2

...1 - ...2

-10x -y - (-4x - y) = 27 - 9

-10x -y +4x + y = 18

-10x + 4x = 18

-6x = 18

x = 18/(-6)

= -3

Answer 2

Answer:

x = - 3, y = 3

Step-by-step explanation:

Given the 2 equations

- 10x - y = 27 → (1)

- 4x - y = 9 → (2)

Multiplying (1) by - 1 and adding to (2) eliminates the term in y

10x + y = - 27 → (3)

Add (2) and (3) term by term to eliminate y

6x = - 18 ( divide both sides by 6 )

x = - 3

Substitute x = - 3 into either of the 2 equations and solve for y

Substituting into (2)

- 4(- 3) - y = 9

12 - y = 9 ( subtract 12 from both sides )

- y = - 3 ( multiply both sides by - 1 )

y = 3

Solution is x = - 3, y = 3


Related Questions

4. Denise thinks of a number, multiplies by 7, and then subtracts 2 from the 5 points
result. If the number Denise thinks of is represented by t, how can this be
written using algebra

Answers

Answer:

(t x 7) 5 - 2

Step-by-step explanation:

I think that is how it would look, I hope it helps!

123 degrees and 3x degrees what is the value of x

Answers

Not an answer:

do you have a picture?

Answer: I think x is 41. 123 divided by 3 is 41

Step-by-step explanation:

Find the value of x. Then find the measure of each angle.

Answers

Answer:

30, 85, 85

Step-by-step explanation:

(first, look at the photo)

3x - 5 = x + 55

3x - x = 55 + 5

2x = 60

x = 30

1) x = 30

2.angle = 3x-5

3.30 - 5 = 90 -5 = 85

3.angle= x + 55

30 + 55 = 85

hope this helps ^-^

w=1/9(x+y-z)
what’s the answer please help

Answers

Answer:

1/9x+1/9y-1/9z

Step-by-step explanation:

The given equation can be written as w = x/9 + y/9 + z/9.

What are Linear Equations?

Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.

Linear equations may include one or more variables.

Given the linear equation,

w = 1/9 (x + y + z)

We have the distributive property which states that,

For any three numbers, p, q and r, p (q + r) = (p q) + (p r)

So applying distributive rule in the expression given, we get,

w = (1/9 x) + (1/9 y) + (1/9 z)

w = x/9 + y/9 + z/9

Hence the given linear equation w = 1/9 (x + y + z) can be written as w = x/9 + y/9 + z/9.

To know more about Linear Equations, click on the link given below :

https://brainly.com/question/13738061

#SPJ2

Evaluate:
. C=4x? rind the value of c- given thatx = 16
pour

Answers

Answer:

c=4x

c-4(16)

c=64

Step-by-step explanation:

f(x) = 2x
g(x) = x^2+3

Answers

F(x) = 2x the answer is x= 0 and the second one is also zero it has a x- intercept which is zero. Hope this helped:)

Simplify: 21/36




Dddrtghjdrsrsxyffyyguguggu

Answers

Answer:

7/12

Step-by-step explanation:

divide the numerator and denominator by 3: 21 ÷ 3 and 36 ÷ 3

this gives you 7/12

A secret recipe requires you mix chocolate and cream cheese in the ratio 3:2, based on weight. If you use 21 oz of chocolate, how much cream cheese do you need?

Answers

Answer: 14 oz

Step-by-step explanation:

CH/CR 3:2

3x/3=21/3

x=7

2*7=14 oz.

If you use 21 oz of chocolate, 14 oz cream cheese is needed.

What is ratio?

A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same sort and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.

You can compare any two amounts that have the same units.

Given:

ratio of chocolate and cream cheese = 3:2

let the common ratio be x

Chocolate= 3x and Cream cheese = 2x

So,  21 oz of chocolate used

3x=21

x- 21/3

x=7

then, the cream cheese used

= 2 x 7

=14 oz.

Learn more about ratio here:

https://brainly.com/question/13419413

#SPJ2

In the figure, PQ is parallel to RS. The length of RP is 5 cm, the length of PT
is 30 cm; the length of QT is 60 cm. What is the length of 50?

Answers

Answer:

A. 10 cm

Step-by-step explanation:

8: There are 15 red chairs for every 8 green chairs. If there are 90 red chairs, how many red and green chairs are in the room? *

Answers

50 red chairs and 30 green chairs

Suppose you and your friends are splitting three pizzas, with 8 slices each. If you have each eaten 3 pieces, equalling 1/2 of the total amount of slices, how many people are there (including you)? Write an equation to represent this scenario and then solve.

Answers

Answer:

phle follow karo yrr tab hee bat u ga,

HELP PLEASE THANKS


When solving a multi-step equation, which number do you "undo" first?


A The number on the opposite side of the equals side from the variable


B The number furthest from the variable (but on the same side of the equals sign)


C order doesn't matter - choose which one you want to do first


D The number touching the variable

Answers

Answer:A

Step-by-step explanation:

Answer:

It's C Order doesn't matter - choose which one you want to do first.          Don't worry I took the test

Step-by-step explanation:

Mrs.Jacinto asked carpenter to construct a rectangular bulletin board for her classroom. She told the Carpenter that the board's area must be 18 square feet.​

Answers

Answer:

6 ft by 3 ft

Step-by-step explanation:

Solve the literal equation x - 2z = 45 for x

Answers

X = 45 + 2z. Hope this helped :)

Which of these statements is true?
A: All rectangles are regular polygons.
B: All squares are regular polygons.
C: All rhombi are regular polygons.
D: All parallelograms are regular polygons.​

Answers

Answer:

B all square are regular polygons

b)the LCM of three numbers is 24 and their G.C.D is 4. If two
find the other number​

Answers

6

Step-by-step explanation:

because 6*4=24, so the G.C.D is 4 and the other number is 6

the density of iron is 7.8 g/cm^3 and its mass is 15 g . the volume of iron rim​

Answers

volume=15 g/7.8 g/cm³=1.92 cm³

Answer:

Step-by-step explanation:

d=m/V

7.8=15/V

V=15/7.8

≈1.92 cm³

Three out of seven soccer players wore headbands in a soccer league. a. Write the ratio of soccer players who wore headbands to soccer players who did not. b. If there were 36 players in the league who did not wear headbands, how many players were in the league?

Answers

Answer:

a. 3:4

b) 63 players

Step-by-step explanation:

From the question, we know that: Three out of seven soccer players wore headbands in a soccer league.

This means Number of soccer players who did not wear head bands = 7 - 3

= 4

a. Write the ratio of soccer players who wore headbands to soccer players who did not.

Soccer player who wore headbands : Soccer players who did not

= 3:4

b. If there were 36 players in the league who did not wear headbands, how many players were in the league?

Soccer player who wore headbands : Soccer players who did not

= 3:4

36 players in the league who did not wear headbands

Hence, number of players in the league who wore head bands is calculated as:

3/4 = x/36

Cross Multiply

4x = 3 × 36

x = 3 × 36/4

x = 27

The total number of players in the league

= 27 + 36

= 63 players

What is the value of the expression m/2 + 1 when m = 6?

Answers

6/2+1= 4
4 is your answer
6/2=3 + 1=4

What does 3/7 + 1/4 equal?

Answers

19/28 hope it helps

12 The price of a house is originally listed at $120,000. The owners are having a hard time selling it and decide to reduce the price to $110,400. What is the percentage decrease of the price of the house? OA. 92% OB. 0.8% OC. 9.6% OD. 8%​

Answers

Answer: 8 percent

Step-by-step explanation:

120,000 - 110,400 = 9,600

9,600/120,000 = 0.08

0.08 * 100 = 8 percent

Answer:

D:8%

Step-by-step explanation:

If your starting value is $120,000 then it is marked down to $110,400 then the difference between the two is $9,600. Taking this value and dividing it by the starting value gives you the percentage. The number your calculator spits out is 0.08, so reading as a decimal, it is an 8% markdown.


Write a linear function f with f(2)= –2 and f(1) =1.

f(x) =

Answers

Answer - the answer should be:

-3x+4

down below is how i did it,

Step-by-step explanation:

use the formula mx+b=y

y is f(x)

m = -3

x = x

b = 4

so,

mx+b is -3x+4

Answer:

f(x)=-3x+4

Step-by-step explanation:

Slope= -3

(1-(-2))/(1-2)=3/-1= -3

Y-intercept= 4

Let f be a differentiable function with selected values given in the table above. What is the average rate of change of f over the closed intervals 0<_ x <_10?

Answers

Answer:

B

Step-by-step explanation:

The average rate of change is synonymous with the slope.

So, essentially, we want to find the average slope of our function f(x) from x=0 to x=10.

So, we will use the two following points: (0,5) and (10, -20).

Recall the slope formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Let (0, 5) be (x₁, y₁) and (10, -20) be (x₂, y₂). Substitute. This yields:

[tex]m=\frac{-20-5}{10-0}[/tex]

Subtract and reduce:

[tex]m=-25/10=-5/2[/tex]

So, the average slope of f(x) between x=0 and x=10 is -5/2.

Our answer is B.

And we're done!

Answer:

B

Step-by-step explanation:

1. Find the slope of the line passing through (-3,-4) and (-6,-2).

Answers

Answer:

slope = - [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, - 4) and (x₂, y₂ ) = (- 6, - 2)

m = [tex]\frac{-2+4}{-6+3}[/tex] = [tex]\frac{2}{-3}[/tex] = - [tex]\frac{2}{3}[/tex]

Answer:

slope= 2/-3

Step-by-step explanation:

Equation of the line: y=2/-3x-6

the slope being 2/-3

the y-intercept being -6

putting the slope as -0.66667 will still get you the same line going.

Hope this helps! :)

HELP PLEASE ASAP ASAP

Answers

Step-by-step explanation:

(-4,-3) thats the right answer

Kyle caught 9 insects for his science project in the first week. He caught 13 insects in the second week. What is the percent increase in the number of insects Kyle caught from the first week to the second week? Round your answer to the nearest whole number
pleaseeeee

Answers

Answer:

44%

Step-by-step explanation:

The  percent increase would be calculated as the increase in insects caught divided by the original number of insects caught from the first week:

13-9 = 4 more insects caught.

4/9 = .44444

When doing percentages we multiply the decimal by 100, or move it over two places to the right, so it will be 44.4%

Numbers 4 and under round down.

Therefore,

44% is the increase

1. Find the zero of: (write just the number, If there is no zero, write "none")
f(x) = -x - 5

Answers

Answer:

-5

Step-by-step explanation:

f(x) = -x - 5

did before

f(-5)= 5-5

Please help!!! Look at the attachment for the question please

Answers

Answer:

#2 is 135 and #1 is 45

15.5+(-10.5) i need help now

Answers

Answer:

=5

Step-by-step explanation:

Answer:

The answer would be 5 positive

Step-by-step explanation:

First, just take out those slashes cause you don't really need them there just there to make it hard to understand and then you do the rest and use a line to understand better.

I need help quickly the problem is on the picture ​

Answers

slope of this function is 2

explanation I used the slope formula to find and chose two points from the table which are (0,4) and (4,-4) which will give the slope. so slope = 2
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