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
Natasha_Volkova [10]
3 years ago
15

Which values for A and B will create infinitely many solutions for this system of equations? ax-y=8 2x+y=b

Mathematics
1 answer:
Nata [24]3 years ago
5 0

Answer:

a = -2 , b = -8

Step-by-step explanation:

* Lets talk about the solution of the linear equations

- There are three types of the solutions of the system of linear equations

# If the two lines intersect each other, then there is one solution

- The equations are ax+ by = c , dx + ey = f

# If the two lines parallel to each other, then there is no solution

- The equations are ax+ by = c , ax + by = d in its simplest form ,

  where a is the coefficient of x , b is the coefficient of y and

  c , d are the numerical terms

# If the two lines coincide (over each other), then there are infinite

   solutions

- The equations are ax+ by = c , ax + by = c in its simplest form, where

  a is the coefficient of x , b is the coefficient of y and c is the

  numerical term

* Lets solve the problem

∵ The system of equation is:

   ax - y = 8 ⇒ (1)

   2x + y = b ⇒ (2)

∵ The system create infinitely many solutions

∴ The lines are coincide

- The equations must be equal, then multiply equation(1) or (2) by -1 to

  make the coefficient of y in the two equations equal

∴ -ax + y = -8

∴ 2x + y = b

∵ Their coefficients of x are equal

∵ Their coefficients of y are equal

∵ Their numerical terms are equal

∵ The coefficient of x in equation (1) is -a and in equation (2) is 2

∴ -a = 2 ⇒ multiply both sides by -1

∴ a = 2

∵ The numerical term in equation (1) is -8 and in equation (2) is b

∴ b = -8

* The values for a and b will create infinitely many solutions are -2 , -8

You might be interested in
Find the area of this figure. Round your answer to the nearest hundredth. Use 3.14 to approximate
tatyana61 [14]

Answer:

104 ft²

Step-by-step explanation:

The area of the rectangle is represented by the following:

8ft x 10 ft = 80 ft

The area of the triangle is represented by the following:

(6ft x 8ft) divided by 2 = 24

By combining the values, you get 104 square feet.

3 0
2 years ago
Brian wants to ship three medium sized boxes. Two companies offer different rates.
lions [1.4K]

Answer:

Step 4

Step-by-step explanation:

Bryan wants to ship three medium-sized boxes. Two companies offer different rates.

Company Rate

A

$14.65 per box

B

First box is free, $16.20 for any additional boxes

Bryan used the six steps to solve this problem. On one of the steps, he decided that he would use multiplication and addition to compare the companies and find the best rate. Which step did Bryan use to help him decide?

8 0
2 years ago
2(3x+1)=11 help me plz​
padilas [110]

Answer:

x=18

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
a theater has 4650 seats. if the theater sells all the tickets for each of its 5 shows, about how many tickets will the theater
12345 [234]
I believe they will sell a total of 23,250 tickets
8 0
3 years ago
Read 2 more answers
Identify the horizontal asymptote of f(x) = quantity 2 x minus 1 over quantity x squared minus 7 x plus 3.
Rina8888 [55]
We must recall that a horizontal asymptote is the value/s of y that the given function approaches to but never reaches. To find this in a rational function, we compare the expressions with highest degree in the numerator and denominator. There are three possible outcome when this happens.

1. if the highest degree (highest exponent) in the numerator is bigger than that of the denominator, then there won't be any horizontal asymptote.

2. if the highest degree in the denominator is bigger, then the horizontal symptote would be y = 0.

3. if they have the same highest degree, then we just get the quotient of their coefficient. 

Now, going back to our function, we have

f(x) = \frac{2x - 1}{x^{2} - 7x + 3}

From this we can see that the highest degree in the numerator is 1 (from 2x) and 2 (from x²) for the denominator. Clearly, it shows that its denominator has a higher degree. And from our discussion, we can conclude that the horizontal asymptote would be y = 0.

Answer: y = 0
3 0
3 years ago
Other questions:
  • Suppose Neil Armstrong decided to throw a golf ball into the air while he was standing on the
    11·1 answer
  • Please help me with both answers and explain please
    7·2 answers
  • Write an absolute value inequality that has 3 and -6 as two of its solutions
    9·1 answer
  • On the last day of vacation, the Ramirez family drove 279 miles from State Park to its home. That drive covered 45% of the total
    5·1 answer
  • write a function that represents the situation: A population of 210,000 increases by 12.5% each year​
    8·2 answers
  • A line passes through A(6,5) and B(4,2) find equation of a line parallel to AB and passes through (7,10)
    6·1 answer
  • ¿ Qué porcentaje de 70 es 35?
    5·1 answer
  • find the volume and surface area of each solid. you may use a calculator and use 3.14 as an approximation for pi
    6·1 answer
  • If every 7 minutes I get 10.64k dollars how long will it take for me to get 4.5 million dollars
    8·2 answers
  • Help me now I want pictures of how you did it on paper!
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!