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
Liula [17]
3 years ago
15

Muriel sees she has written a system of two linear equations that has an infinite number of solutions one of the equations of th

e system is 3Y = 2X -9 what could be the other equation?
Mathematics
2 answers:
Feliz [49]3 years ago
5 0

Answer:

Then the other equation can be 6Y = 4X - 18

Step-by-step explanation:

Here, where there are two equations representing the same line, the number of solutions is infinite.

That is the two lines meet at all points providing an infinite number of solutions. The two lines can be said to be equivalent, such that every point on each of the two lines is a solution.

Since the equation of one member of the system is 3Y = 2X - 9

Then the other equation can be

2 × (3Y = 2X - 9)  →  6Y = 4X - 18.

Pavlova-9 [17]3 years ago
4 0

Answer:

Eq2 : 6Y = 4X - 18

Step-by-step explanation:

- For any system of equation to have "infinitely" many solutions then at-least 2 equations must be dependent equations.

- The dependent equations have many solutions as the existence of one makes the other equation redundant,

- In other words, the basic example would be a scalar multiple of original equation.

                                aY = bX + C   ..... Eq 1

- The scalar multiple "k", can be any non-zero real value:

                                kaY = kbX + Ck   .... Eq 2

- We divide the two equations:

                                Eq2 / Eq1 = k ... constant (non-zero)

- Linear independence check invalidates as their exist no non-zero scalar multiple (a,b) such that:

                               Eq1*a + Eq1*b= 0.  ..... Hence, equations are dependent

- So choose any value of k = 2:

                               2*Eq1 : Eq2

                               Eq2 : 2*(3Y = 2X -9)

                              Eq2 : 6Y = 4X - 18

You might be interested in
Can you organize collections of numbers into mathematical sets?
Bezzdna [24]
Yes by 10's and hundreds and ones place and even and odd. And pine and composite
6 0
3 years ago
A coffee supply store waits until the orders for its special blend reach 100 pounds before making up a batch. Columbian coffee s
yan [13]
X - Columbian coffee ( in pounds),
y - Brazilian coffee ( in pounds );
x + y = 100
8.85 x + 3.85 y = 6.55 ( x + y )
----------------------------------------
x = 100 - y
8.85 ( 100 - y ) + 3.85 y = 6.55 * 100
855 - 8.55 y + 3.85 y = 655
- 5 y = - 230
y = ( - 230 ) : ( - 5 )
y = 46
x = 100 - 46
x = 54
Answer: 54 pounds of Columbian coffee and 46 pounds of Brazilian coffee should be used.
5 0
3 years ago
Is division of whole numbers associative property
SVETLANKA909090 [29]
I do not think it is.
3 0
3 years ago
Please help me
yKpoI14uk [10]

9514 1404 393

Answer:

  A)  5x+12 = -12x-12

  D)  5x+12 = -5x-12

Step-by-step explanation:

If you subtract the right side expression from both sides, you will get an equation with something equal to zero. If the 'something' has a variable in it, there is exactly one solution.

A: (5x+12) -(-12x-12) = 17x+24 = 0 . . . one solution

B: (5x+12) -(5x-5) = 17 = 0 . . . . no solutions

C: (5x+12)-(5x+12) = 0 = 0 . . . . infinite solutions

D: (5x+12) -(-5x-12) = 10x +24 = 0 . . . one solution

6 0
2 years ago
Factor completely 5a2 + b.<br><br> Prime<br><br> a(5a + b)<br><br> b(5a2)<br><br> ab(5a + 1)
Tatiana [17]
\sf {5a^2+b~is~\boxed{\bf{prime}}}

It is prime because it has no common factors in 5a^2 and b.

The answer is A<span>.</span>
6 0
3 years ago
Read 2 more answers
Other questions:
  • The time it takes Jessica to bicycle to school is normally distributed with mean 15 minutes and variance 4. Jessica has to be at
    6·1 answer
  • What are the side lengths of an equilateral triangle with a perimeter of 8 1/4?
    13·1 answer
  • A ______ has numbered statements and corresponding reasons that shows an argument in a logic order.
    12·1 answer
  • Write inverse of the given function [(5,3) (-2,4) (7,-2)
    10·1 answer
  • 1 more than the difference between 18 and 7 times a number is -9
    6·1 answer
  • What is the value of ine^4?
    12·2 answers
  • PLZ HELP ASAP!!!!!!
    9·1 answer
  • She made 76,450 last year she received a 4% salary increase how much does she make now ?
    10·1 answer
  • Question 8 heeellppp plzzzzzz
    13·1 answer
  • Find the unit rate.
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!