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
Troyanec [42]
2 years ago
13

Solve each system by substitution. 1) y = 2x + 2 y = -5x + 16

Mathematics
2 answers:
dalvyx [7]2 years ago
5 0

Answer:

y = 6

x = 2

Step-by-step explanation:

rearrange the first equation in terms of x

x = (y - 2)/2

substiute x in the second equation

y = -5[(y-2)/2] +16

Now simpilify and solve for y

y = (-5y + 10)/2 +16

y = -5/2y + 5 + 16

y + 5/2y = 5 + 16

3.5y = 21

y = 6

Now substitue y in the first equation to solve for x

x = (6 - 2)/2

x = 2

jekas [21]2 years ago
5 0

Answer:

(2, 6)

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtract Property of Equality

<u>Algebra I</u>

  • Terms/Coefficients
  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define Systems</u>

y = 2x + 2

y = -5x + 16

<u>Step 2: Solve for </u><em><u>x</u></em>

<em>Substitution</em>

  1. Substitute in <em>y</em>:                     2x + 2 = -5x + 16
  2. Add 5x on both sides:         7x + 2 = 16
  3. Subtract 2 on both sides:    7x = 14
  4. Divide 7 on both sides:        x = 2

<u>Step 3: Solve for </u><em><u>y</u></em>

  1. Define equation:                    y = 2x + 2
  2. Substitute in <em>x</em>:                       y = 2(2) + 2
  3. Multiply:                                  y = 4 + 2
  4. Add:                                        y = 6
You might be interested in
Suppose you have $500,000 for retirement in 20 years.Your account earns 6% interest. How much would you need to deposit in the a
laiz [17]

Answer:

30,000

Step-by-step explanation:

What I did was 6 divided by 100 and I got 0.06 times the the 500,000 and got 30,000 so your answer should be 30,000. Hope this helps and let me know if I'm wrong. have a great day!

6 0
3 years ago
THIS IS THE LAST ONE THX
Nataly_w [17]
Letter D it’s incorrect, not sure tho
7 0
2 years ago
Read 2 more answers
Write a differential equation that models the given situation. The stated rate of change is with respect to time t. (Use k for t
Alex787 [66]

The differential equation that models the given situation will be dy/dt = K(N - y).

<h3>How to compute the equation?</h3>

Let y = number of individuals who have heard about the product.

Let N - y = this who haven't heard about the product.

From the given statement, the rate for change will be t = dy/dt. Therefore, the differential equation that models the given situation will be dy/dt = K(N - y).

Learn more about equations on:

brainly.com/question/2972832

#SPJ1

3 0
1 year ago
A volume of the cone is (1/3) the volume of a cylinder. The volume of the sphere is what fraction of the volume of the cylinder?
xenn [34]

Answer:

4/3

Step-by-step explanation:

To know this, let's write down the formulas for the volume of cylinder and sphere.

Vs = 4/3πr³   (1)

Vc = π r² h    (2)

Now, we do have a little problem here and its the fact that the sphere do not have a height like the cylinder do. But in this case so if you want to have an idea of the fraction of the volume, we will assume that the cylinder has the same height as its radius. Assuming this we have the following:

Vs / Vc = 4πr³ / 3πr²h

Vs/Vc = 4πr³ / 3πr³

From here, we can cancel out the values of π and r³:

Vs/Vc = 4/3

<h2>Vs = 4/3 Vc</h2>

Thus we can conclude that the volume of the sphere is 4/3 the volume of a cylinder.

Hope this helps

8 0
2 years ago
There are muffins in a package.how many packages will be needed to feed 48people if each person has 2 muffins
Semmy [17]
You will need 94 muffins, but how many are in each package?
 
7 0
3 years ago
Other questions:
  • 15 5 6 6 19 4 5 5 3 4 5 19 5 4 6<br> What is the mean? Round your answer to the nearest tenth.
    6·1 answer
  • Find the center of the circle that can be circumscribed about EFG with E(2,2),F(2,-2), and G(6,-2)
    9·1 answer
  • Algebra question, I would really appreciate help
    14·1 answer
  • Todd keeps his 4 room house very clean. it takes him 1 hour and 36 minutes to clean his whole house. how long does it take him t
    15·1 answer
  • the perimeter of a rectangle is 60 meters. if the length of the rectangle is 14 meters. what is the width of the rectangle.,
    14·2 answers
  • Jeff finds some bugs .he finds 10 fewer grasshopper than cricket.he finds 5 fewer cricketsthan lady bug.if Jeff finds 5 grasshop
    13·1 answer
  • What is the recursive formula for this geometric sequence?
    14·1 answer
  • Show coins to count back the change you would get if you bought candy for .12 cents and paid for it with a quarter. answer
    7·1 answer
  • Help me please! I’ll mark as brainliest!!
    10·1 answer
  • ​It takes an ant farm 6 days to consume 3/8 of an apple. ​(​Show all work) At that rate, in how many days will the ant farm cons
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!