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]
2 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]2 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]2 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 is a Ratio??????
Strike441 [17]

Answer:

the quantitative relation between two amounts showing the number of times one value contains or is contained within the other.

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
What is the perimeter of the shape below?<br> 3 cm<br> 4 cm<br> 8 cm<br> 4 cm
UNO [17]

Answer:

:D

Step-by-step explanation:

it is 19 cm

5 0
2 years ago
24+4(3+1) I know the answer but I need to show my work can anyone show me how they got the answer cause the answer is 40 but I d
solong [7]
24 + 4(3 + 1)
= 24 + 4(4)
=24+ 16
= 40
6 0
2 years ago
Read 2 more answers
Solve to following inequality:<br> 2.40 + 2.20x &lt; 9<br> Many thanks<br> &lt;3
Alexxandr [17]

Answer:

4.60<9

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Select the correct answer.
Nat2105 [25]
The answer is C.2 that is the answer
4 0
2 years ago
Read 2 more answers
Other questions:
  • State which is greater (6-8)x10 or 6-(8x10)
    6·1 answer
  • Answer any of the following:
    8·1 answer
  • How do you solve this
    13·1 answer
  • Help Please please &amp; show ur work which expression is equivalent to (-15.5)divid sign (-0.5)(1.5) ? A (-31)(1.5) B (-7.75)(1
    15·1 answer
  • Quadrilateral ABCD is inscribed in circle as shown. What is the value of y?
    14·1 answer
  • Please help! I tried 1/4 and its wrong.
    14·2 answers
  • PLEASE HURRY!!!! TIMED!!!! WILL GIVE BRAINLIEST!!!!
    10·1 answer
  • Does the point (1, 1) satisfy the equation y = x?<br> yes<br> no
    15·1 answer
  • A store sells two different packages of soda as described below. (Standard 6.EE.9) Package A: 18 soda Package B: 10 soda Write a
    14·1 answer
  • Hey guys can u help me on this one, I quite don’t get it
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!