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
sladkih [1.3K]
3 years ago
14

Muriel says she has written a system of two linear equations that has an infinite number of solutions. One of the equations of t

he system is 3y = 2x – 9. Which could be the other equation?
a. 2y = x – 4.5
b. y = 2/3x – 3
c. 6y = 6x – 27
d. y = 3/2x – 4.5
Mathematics
2 answers:
lara31 [8.8K]3 years ago
5 0

Answer:

Hence option b is correct.

( b. y = (2/3)x-3)

Step-by-step explanation:

Muriel says she has written a system of two linear equations that has an infinite number of solutions.

The first equation is given as:

3y= 2x -9.

This equation could also be written as:

y=(2/3)x-3

since we divide both side of the equation by 3.

<em>" The system of equation is said to have infinite solution if both the equations represents the same line "</em>

Hence, option b is correct.

( b. y = (2/3)x-3 )

Vanyuwa [196]3 years ago
3 0
An infinite number of solutions means a coincident line...it is the same line
3y = 2x - 9...divide by 3
y = 2/3x - 3...hmm...same line as answer choice b....they are coincident lines and have infinite solutions
You might be interested in
What value of x satisfies the equation 5(x – 3) – 2(x + 1) = 4?
hjlf

Answer:

x = 7

Step-by-step explanation:

To solve:

Distribute 5 among everything inside the first parentheses. You'll get 5x - 15.

Next distribute -2 among everything in the second parentheses. You'll get

-2x - 2.

<u>All together: 5x - </u><u>15</u><u> </u><u>-</u><u>2x </u><u>-</u><u> </u><u>2</u><u> </u><u>= 4</u>

Now combine like terms:

5x - 2x = 3x and -15 - 2 = - 17

<u>All</u><u> </u><u>together</u><u>: 3x -</u><u> </u><u>17 = 4</u>

Add 17 on both sides to get 21, and then divide both sides by 3. Answer is x = 7.

________________________________

Last, don't forget to check your work.

You can plug in 7 for x to get:

5(7 - 3) = 20

5 × 7 = 35

5 × -3 = -15

35 - 15 = 20

-2(7 + 1) = -16

-2 × 7 = -14

-2 × 1 = - 2

-14 -2 = -16

<u>20 - 16 = 4</u>

⬆⬆⬆Therefore this is correct.

Sorry this is a bit lengthy, but hope this helps :)

5 0
2 years ago
The difference of the product of a number, y, and 3 and 24 is 237. Write an equation
lbvjy [14]

y + 3 +24 = 237

y + 27 = 237

y + 27 - 27 = 237 -27

y = 210

5 0
3 years ago
The table below represents the displacement of a horse from its barn as a function of time:
katovenus [111]

A. The y-intercept (b) of a linear equation is obtained when x = 0. Therefore from the given table,

y - intercept = 8

Since at time zero the displacement is 8 ft, this means that the horse was already outside the barn initially.

B. The average rate of change of the function represents the slope of the linear equation (m). This can be calculated using the formula:

average rate of change = m = (y2 – y1) / (x2 – x1)

m = (158 – 58) / (3 – 1)

m = 50

<span>C.  Since we have determine the y-intercept and the slope, we can formulate the linear equation:</span>

y = m x + b

y = 50 x + 8

The domain is the value of x. When y = 508, x is equivalent to

508 = 50 x + 8

<span>x = 10 hrs</span>

6 0
3 years ago
Ratios equivalent to 1/2
Blizzard [7]
The answer is 1:2. all you have to do is add the dots for example 4/5 would be 4:5
7 0
3 years ago
Of 100 diners in a restaurant, 45 ordered the fish of the day and 14 are wearing a dress. Of the diners who ordered fish, 8 are
vaieri [72.5K]

<span>1.     </span>The probability that one of the diners orders fish = number of diners who ordered fish / total number of diners

p1=45/100=0.45

<span>2.     </span>The probability that one of the diners is wearing dress= number of diners wearing dress/ total number of diners

<span>3.     </span>p2=14/100=0.14

<span>The probability that one of the diners ordered the fish or is wearing a dress is: p=0.45+0.14=0.59</span>

5 0
3 years ago
Other questions:
  • Name collection boxes
    8·1 answer
  • To make 6 apples pie, you need 2 pounds of apples. How many pounds of apples do you need to make 10 apple pies?
    14·2 answers
  • In the diagram below, BD &lt;-&gt; is parallel to XY&lt;-&gt; . What is the value of y?
    12·2 answers
  • PLEASE HELP 2. Give an example of a cubic binomial polynomial
    7·1 answer
  • How do you know if a function is increasing or decreasing?
    12·1 answer
  • I need help with this problem. Please answer and explain! (Ignore selected answer)
    11·1 answer
  • I need help ASAP!Im slow in the head and I don’t pay attention in class so yea if u could plz help me?
    14·1 answer
  • A used guitar is on sale for $280. Derek offers the seller 3/4 of the advertised price. How much does Derek offer for the guitar
    12·2 answers
  • How do you find this answer?
    8·1 answer
  • 1. Solve *
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!