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
tatuchka [14]
3 years ago
11

Question: determine all solutions to the diophantine equation 3x + 7y = 4

Mathematics
1 answer:
yKpoI14uk [10]3 years ago
3 0
The difference between the coefficients 7 and 3 is 4, so one solution is
  y = 1, x = -1.
Then the remaining solutions will be of the form
  x = -7n-1
  y = 3n+1
for some integer n.


_____
Some of the solutions are (for n=0, -1, -2, 1, 2)
(x, y) = (-1, 1), (6, -2), (13, -5), (-8, 4), (-15, 7)
You might be interested in
Help pls. I will give brainliest to whom ever gets the answer correct.
Ivanshal [37]

Answer:

your answer will be 18 in

Step-by-step explanation:

I hope this helps u ^_^

have a great day

3 0
3 years ago
Read 2 more answers
I really, REALLY need help. I will give brainliest to whoever figures it out.
Finger [1]

Answer:

79.5 + 5.5x = Y

Step-by-step explanation:

Sumo wrestler gained 5.5 kg per month

After 11 month, he weighed 140 kg.

Let x be his current weight.

Then x + 11(5.5) = 140

  x = 140 - 60.5

  x = 79.5

If Y is the weight of the wrestler after t months, then the linear equation would be:

 79.5 + 5.5t = Y

5 0
3 years ago
−3(x + 3) = −3(x + 1) − 5
love history [14]
You have to simplify and then get x
5 0
3 years ago
Read 2 more answers
Find a third-degree polynomial equation with rational coefficients that has the roots 2 and -3 + i.
NeTakaya

Answer:

Option B

Step-by-step explanation:

Complex roots occur as conjugate pairs so the third root is -3 - i ( note that the sign changes from + to -).

So in factor form we have:-

(x - 2)(x - (-3 + i))(x - (-3 - i)) = 0    Let's expand the last 2 factors first:-

(x - (-3 + i))(x - (-3 - i))

= (x + 3 - i)(x + 3 + i)

= x^2 + 3x +ix + 3x + 9 + 3i - ix - 3i - i^2

= x^2 + 6x + 9 - (-1)

= x^2 + 6x + 10

Now multiplying by (x - 2):-

(x - 2)(x^2 + 6x + 10) = 0

x^3 + 6x^2 + 10x - 2x^2 - 12x - 20 = 0

x^3 + 4x^2 - 2x - 20 = 0    (answer)

Option B

5 0
3 years ago
Solve : 1+8n=13+6n help???
ANTONII [103]
1+8n=13+6n
1+8n=13-6n
   -6n
1+2n=13
-1       -1
2n=12
2n divided by 2... 12 divided by 2 = 6... n=6
4 0
3 years ago
Read 2 more answers
Other questions:
  • Can someone help me with number two please?
    7·2 answers
  • PLEASE HELP ASAP!!!
    6·1 answer
  • In a certain clothing store, 6 shirts and 3 ties cost $79.50, and 3 shirts and 2 ties cost $41. Determine the cost of each tie.
    5·2 answers
  • Solve the equation.<br> 4x – 13 = 2x +9
    14·1 answer
  • ASAP Can someone help me with this please. I filled most of the angles. I just need help finding x
    12·2 answers
  • NEED HELP ASAP
    5·1 answer
  • Columbia,South Carolina, is located at 34degrees north latitude. Use the equation to estimate the average annual snowfall for Co
    15·1 answer
  • What is the solution to the system of equations that is graphed below?
    12·2 answers
  • 1. In a survey of 100 adults, 85 like calypso and 93 like Soca. The adults surveyed
    5·1 answer
  • Solve the simultaneous equations
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!