1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Eddi Din [679]
3 years ago
8

Given x(y + 2) = 3x + y, express y in terms of x.​

Mathematics
1 answer:
vodka [1.7K]3 years ago
6 0

Answer:

y = \frac{x}{x-1}

Step-by-step explanation:

Given

x(y + 2) = 3x + y ← distribute parenthesis on left side

xy + 2x = 3x + y ( subtract 2x from both sides )

xy = x + y ( subtract y from both sides )

xy - y = x ← factor out y from each term on the left side )

y(x - 1) = x ← divide both sides by (x - 1)

y = \frac{x}{x-1}

You might be interested in
Given:
pychu [463]
We can use the SSS congruence theorem to prove that the two triangles in the attached figure are congruent. The SSS or side-side-side theorem states that each side in the first triangle must have the same measurement or must be congruent on each of the opposite side of another triangle. In this problem, for the first triangle, we have sides AC, CM, AM while in the second triangle we have sides BC, CM, and BM. By SSS congruent theorem, we have the congruent side as below:
AC = BC
CM = CM
AM = BM 

The answer is SSS theorem.
4 0
2 years ago
Read 2 more answers
Please help! Will give brainliest!<br> Simplify. <img src="https://tex.z-dn.net/?f=%283a%5E%7B2%7D%2A5a%5E%7B2%7D%29" id="TexFor
sergejj [24]

Answer: 8a

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
The volume of a​ cone-shaped hole is 50 pi ft cubed . If the hole is 6 ft​ deep, what is the radius of the​ hole?
True [87]

Answer:

r = 5

Step-by-step explanation:

The formula for volume of a cone is \pi r^2*\frac{h}{3}

h = 6

V = 50π

2\pi r^2=50\pi

r = 5

8 0
3 years ago
Enter an equation to represent the amount of moneys, in dollars, in Jack's account after w weeks, in simplest terms.
BigorU [14]
A = account
M = money
w = weeks

A = Mw

Hope this helps! Any questions let me know :)
6 0
2 years ago
On Fridays, Jerry stops at Steak &amp; Taco Shack before he goes home. This week
Vika [28.1K]

Answer:

Steak sandwich = x = 4

Cheese fries = y = 1.75

Taco salad = z = 2

Step-by-step explanation:

Let :

Steak sandwich = x

Cheese fries = y

Taco salad = z

This week:

x + 2y + 2z = 11.50 - - - - (1)

Last week :

2x + 3y + z = 15.25 - - - (2)

Two weeks ago :

x + 4y + z = 13 - - - - - (3)

Taking (1) and (2)

x + 2y + 2z = 11.50 ___(1)

2x + 3y + z = 15.25 ___(2)

Multiply (1) by 2 and (2) by 1 and subtract

2x + 4y + 4z = 23

2x + 3y + z = 15.25

_______________

y + 3z = 7.75 - - - - (4)

Taking (2) and (3)

2x + 3y + z = 15.25 - - (2)

x + 4y + z = 13 - - - - - (3)

Multiply (2) by 1 and (3) by 2 and subtract

2x + 3y + z = 15.25

2x + 8y + 2z = 26

______________

-5y - z = - 10.75 - - - - - (5)

Lets solve (4) and (5)

y + 3z = 7.75 - - - - (4) - - - multiply by 5

-5y - z = - 10.75 - - - - - (5) - - - multiply by 1

Then add the result :

5y + 15z = 38.75

-5y - z = - 10.75

____________

14z = 28

z = 28 / 14

z = 2

To find y ; put z = 2 in (4)

y + 3z = 7.75

y + 3(2) = 7.75

y + 6 = 7.75

y = 7.75 - 6

y = 1.75

From equation 3 ;

x + 4y + z = 13 - - - - - (3)

x + 4(1.75) + 2 = 13

x + 7 + 2 = 13

x + 9 = 13

x = 13 - 9

x = 4

Hence,

Steak sandwich = x = 4

Cheese fries = y = 1.75

Taco salad = z = 2

5 0
3 years ago
Other questions:
  • 4. Which ordered pair is a solution of 3y + 2 = 2x - 5?
    10·1 answer
  • Can this visual be described with a linear, exponential, or neither
    9·1 answer
  • This box can be packed with 48 unit cubes the unit cube is 1 meter what the volume of the box
    9·2 answers
  • A bookshelf contains 10 mysteries, 8 biographies, and 6 science fiction books. A book is randomly selected, replaced, then anoth
    12·1 answer
  • In a Gallup telephone survey conducted on April 9-10, 2013, the person being interviewed was asked if they would vote for a law
    9·1 answer
  • How to solve this ?
    13·1 answer
  • Part A
    13·2 answers
  • Which number can you add to 15 to get a sum of 0? (-10 -15 15 0 )
    7·1 answer
  • Which of the following sequences represents a geometric sequence?
    9·1 answer
  • Kayla drew a right triangle. Which could be the lengths of the triangle's sides?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!