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
garri49 [273]
3 years ago
15

Given the following system of equations: 2x + 6y = 12 4x + 3y = 15 Which action creates an equivalent system that will eliminate

one variable when they are combined? Multiply the second equation by −2 to get −8x − 6y = −30. Multiply the first equation by 2 to get 4x + 12y = 24. Multiply the second equation by −4 to get −16x − 12y = −60. Multiply the first equation by −4 to get −8x − 24y = −48.
Mathematics
2 answers:
Charra [1.4K]3 years ago
7 0

Option A and B are correct.

Step-by-step explanation:

We are given the following systems of equation:

2x + 6y = 12 \\4x + 3y = 15

We need to identify the action creates an equivalent system that will eliminate one variable when they are combined.

Checking the options:

a) Multiply the second equation by −2 to get −8x − 6y = −30

If we add equation(1) and the new equation(2) the variable y will be eliminated. So, this is the correct option.

b)  Multiply the first equation by 2 to get 4x + 12y = 24.

If we subtract new equation(1) and equation(2), the variable x will be eliminated. So, this is the correct option.

c) Multiply the second equation by −4 to get −16x − 12y = −60

By adding or subtracting, none of the variable is eliminated. So, it is not the correct option.

d) Multiply the first equation by −4 to get −8x − 24y = −48.

By adding or subtracting, none of the variable is eliminated. So, it is not the correct option.

So, Option A and B are correct.

Keywords: Solve System of equations

Learn more about solving system of equations at:

  • brainly.com/question/6075514
  • brainly.com/question/2115716
  • brainly.com/question/13168205

#learnwithBrainly

Marysya12 [62]3 years ago
6 0

Answer:

Multiply the second equation by −2 to get −8x − 6y = −30.

Step-by-step explanation:

we have

----> first equation

----> second equation

Solve by elimination

Multiply the second equation by -2 both sides

---> equivalent second equation

Adds first equation and the equivalent second equation

Find the value of y

substitute the value of x in any of the equation

the solution of the system is the point (3,1)

You might be interested in
What does this image show? A) How to add. B) Information about exponential notation. C) Bow to multiply and divide. Will Mark Br
xeze [42]

Answer:

B) Information about exponential notation

Step-by-step explanation:

The information on the page is about exponential notation, therefore option (B) is the most suitable.

6 0
2 years ago
What is the range of possible sizes for side x
vladimir1956 [14]

Answer:

4<x<12

Step-by-step explanation:

8.0+4.0=12.0

8.0-4.0=4.0 or 4

5 0
2 years ago
Read 2 more answers
What’s the answer?!?
Stels [109]
The area of the triangle is 50in2, so she can create only 2 triangles.
3 0
3 years ago
Read 2 more answers
Determine the GCF of 14, 15, and 21
N76 [4]
Factor all 3 numbers
14  = 2 * 7
15 = 3 * 5
21 = 3 * 7

There are no common factors in all 3 numbers

Answer No GCF.

Though i guess you could say 1 is the GCF.
7 0
3 years ago
There are 3 times as many males as females on the maths course at university. What fraction of the course are male?
PIT_PIT [208]

Answer:

3/4

Step-by-step explanation:

let x = females

3x = males

3x + x = 4x

fraction of males = 3x / 4x = 3/4

4 0
2 years ago
Other questions:
  • What best describes the number 5 ? write prime composite
    14·1 answer
  • Which statements are true about the polynomial 4x3 – 6x2 + 8x – 12? Check all that apply
    15·2 answers
  • Alexandra has 78 emails in her inbox. She deletes 47 emails.How many emails are left in het inbox? Draw jumps and level the numb
    14·2 answers
  • Plz help me on this
    10·1 answer
  • Alexa mom has 3 kids. Their names are Ally and Alex, what is the 3rd ones name.?
    9·2 answers
  • Anyone plz help me, plz show the working. THANK YOU SO MUCH!
    5·1 answer
  • PLEASE HELP ME WITH THIS QUESTION I REALLY NEED HELP
    7·1 answer
  • I need the answers and explanation to a b c and d
    6·1 answer
  • Mr. Jones bought a cloth of length 3890 cm. How much is the length in m and cm?
    10·2 answers
  • Which of the following is equivalent to 5√12 - 2√27?
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!