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
Taya2010 [7]
3 years ago
6

How do you solve Y=x+1 x+2y=14 in substitution?

Mathematics
1 answer:
AleksAgata [21]3 years ago
6 0

Answer:

(4, 5 )

Step-by-step explanation:

Given the 2 equations

y = x + 1 → (1)

x + 2y = 14 → (2)

Substitute y = x + 1 into (2)

x + 2(x + 1) = 14 ← distribute and simplify left side

x + 2x + 2 = 14

3x + 2 = 14 ( subtract 2 from both sides )

3x = 12 ( divide both sides by 3 )

x = 4

Substitute x = 4 into (1) for corresponding value of y

y = 4 + 1 = 5

Solution is (4, 5 )

You might be interested in
A filter filled with liquid is in the shape of a vertex-down cone with a height of 9 inches and a diameter of 6 inches at its op
Alina [70]

Answer: Level of the liquid dropping at 28.28 inch/second when the liquid is 2 inches deep.

Step-by-step explanation:

Since we have given that

Height = 9 inches

Diameter = 6 inches

Radius = 3 inches

So, \dfrac{r}{h}=\dfrac{3}{9}=\dfrac{1}{3}\\\\r=\dfrac{1}{3}h

Volume of cone is given by

V=\dfrac{1}{3}\pi r^2h\\\\V=\dfrac{1}{3}\pi \dfrac{1}{9}h^2\times h\\\\V=\dfrac{1}{27}\pi h^3

By differentiating with respect to time t, we get that

\dfrac{dv}{dt}=\dfrac{1}{27}\pi \times 3\times h^2\dfrac{dh}{dt}=\dfrac{1}{9}\pi h^2\dfrac{dh}{dt}

Now,  the liquid drips out the bottom of the filter at the constant rate of 4 cubic inches per second, ie \dfrac{dv}{dt}=-4\ in^3

and h = 2 inches deep.

-4=\dfrac{1}{9}\times \pi\times (2)^2\dfrac{dh}{dt}\\\\-9\pi =\dfrac{dh}{dt}\\\\-28.28=\dfrac{dh}{dt}

Hence, level of the liquid dropping at 28.28 inch/second when the liquid is 2 inches deep.

7 0
2 years ago
3(2x+8)=8x+46 answer
MrMuchimi
3(2x+8)=8x+46
6x+24=8x+46
-2x+24=46
-2x=22
x=-11

3(2(-11)+8)=8(-11)+46
3(-22+8)=-88+46
3(-14)=-42
-42=-42

Hope I didn't mess up for your sake
4 0
3 years ago
Explain how to use the graph-and-check method to solve a linear system of two equations in two variables.
telo118 [61]
You have to explain more
4 0
3 years ago
Read 2 more answers
A board game has 26 tiles labeled with alphabet letters. Players draw 1 tile at a time. Over 260 different drawings, how many ti
Nastasia [14]

Answer: The probablty is is 41221/26 or 0.00669%

Step-by-step explanation:

Drawing tiles from the bag at one time is mathematically equivalent to drawing one tile 4 times inculding the vowel, without replacement.

If we get one of these 4 letters on draw 1, then on draw 2, we'll have 3 possible successful draws out of the 25 tiles left.

This pattern continues down to draw 4. Since each draw is independent, we just multiply the probabilities together:

6 0
3 years ago
Read 2 more answers
A varies inversely as the square of b. If a is 1 when b is 4, find a when b is 4.<br> with solution
inn [45]

Answer:

4

a=k/b squared when a=1,b=4 k=16

When b=4 a=1

5 0
2 years ago
Other questions:
  • How do I find this expression?
    13·1 answer
  • The state of New Jersey makes approximately $1.55 billion annually from tolls of the $1.55 billion about 3/4 comes from tolls on
    13·1 answer
  • What is the answer to ax-8b=c
    8·1 answer
  • What is the value of x?<br><br> A. 4<br><br> B. 4√3<br><br> C. 8<br><br> D. 8√3
    8·1 answer
  • if a florist is making identical bouquets using 72 red roses 60 pink roses and 48 yellow roses what is the greatest number of bo
    15·2 answers
  • NEED ASAP What is the quotient and remainder of 8,595 ÷ 24?
    10·2 answers
  • Bernardo is planning a 1,975 miles trip to St. Louis to visit a college. His car averages 25 miles per gallon. How
    12·2 answers
  • What is the solution to the equation below? Round your answer to two decimal places. HELP PLEASE PLEASE HELP PLEASE ASAP PLEASE
    5·1 answer
  • Help as fast as possible help
    11·1 answer
  • The ratio of births to deaths worldwide on one day in 2018 was about 5:2. If there were about 350 000 births that day, how many
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!