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
masha68 [24]
4 years ago
12

Solve the system by substitution. x – 3y = 4 2x – 6y = 8 A. no solution B. x = 4, y = 0 C. x = 0, y = 0 D. infinite solutions

Mathematics
2 answers:
Gwar [14]4 years ago
5 0

Answer:

A

Step-by-step explanation:

1. Isolate the x-term in the first equation:

     x-3y=4 -> x=3y+4

2. Substitute <em>3y+4</em> in for x in the second equation and solve

     2(3y+4)-6y=8 : Distribute the 2

     6y+8-6y=8 : Combine like terms

     8=8

3. Isolate the y-term in the first equation:

    x-3y=4 -> -3y=-x+4

 a. Solve for y:

       (-3y=-x+4)/-3 : Divide by -3

       y=(1/3)x-(4/3)

4. Substitute (1/3)x-(4/3) in for y in the second equation and solve:

     2x-6((1/3)x-(4/3))=8 : Distribute the -6

     2x-2x+8=8 : Combine like terms

     8=8

Explanation:

When you solve a system of equations and get a true statement-

The lines are parallel.

Parallel lines will never intersect, so there is no solution.

     

ruslelena [56]4 years ago
4 0

Answer:

The correct answer is option D.

Step-by-step explanation:

if the pair of equation has one or more than one solution then it is said to be consistent.

  • Only one solution , then independent system.
  • More than one solution , then dependent system.

if the pair of equation has no solution then it is said to be inconsistent.

Given : x - 3y = 4 ...[1]

2x - 6y = 8 ...[2]

Solution :

Solving equations with the help of Substituting methods:

x - 3y = 4

x = 4 +3y

Putting value of x from [1] in [2]:

2(4+3y)-6y=8

8+6y-6y=8

6y=6y

0 = 0

Given , system of equation will have infinite solution. Hence consistent and dependent.

The given system of equations will have infinite solutions.

You might be interested in
Ments
maw [93]

The sector area and the arc length are 34.92 square inches and 13.97 inches, respectively

<h3>How to find a sector area, and arc length?</h3>

For a sector that has a central angle of θ, and a radius of r;

The sector area, and the arc length are:

A = \frac{\theta}{360} * \pi r^2 --- sector area

L = \frac{\theta}{360} * 2\pi r ---- arc length

<h3>How to find the given sector area, and arc length?</h3>

Here, the given parameters are:

Central angle, θ = 160

Radius, r = 5 inches

The sector area is

A = \frac{\theta}{360} * \pi r^2

So, we have:

A = \frac{160}{360} * \frac{22}{7} * 5^2

Evaluate

A = 34.92

The arc length is:

L = \frac{\theta}{360} * 2\pi r

So, we have:

L = \frac{160}{360} * 2 * \frac{22}{7} * 5

L = 13.97

Hence, the sector area and the arc length are 34.92 square inches and 13.97 inches, respectively

Read more about sector area and arc length at:

brainly.com/question/2005046

#SPJ1

8 0
2 years ago
Is 7/10 more than one half
Fiesta28 [93]
Yes 7/10 is more than 1 half


8 0
3 years ago
Read 2 more answers
What is 2 copies of 4 tenths?
murzikaleks [220]
2 copies of 4 tenths is 8 tenths, or 80.

Please make brainliest answer :^)
4 0
4 years ago
Read 2 more answers
Determine if the figure is a parallelogram.
andrew11 [14]
The figure is not a parallelogram




good luck
7 0
4 years ago
(a) Analyze Why were some of the SOE instructors worried about Noor’s personality? (b) Evaluate Did Noor’s work as an operative
nirvana33 [79]

Answer:

I need the passage, so that i can help

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Other questions:
  • How do you drow a graph with decamals
    8·1 answer
  • How many minutes are students given to complete the math section of the PSAT
    12·2 answers
  • Find the volume of the cylinder. Round your answer to the nearest tenth.
    5·1 answer
  • A truck travels a constant speed of 20m/s . It then decelerates to rest in ten seconds. Find the total distance travelled by the
    6·1 answer
  • −5x9y−4z−4−30x−2y8z−4 =
    12·1 answer
  • How many different arrangements of the letters in the word "PURPLE" are there?
    6·1 answer
  • How many students participate in extracurricular activities?
    5·1 answer
  • Please be quick I am timed
    11·1 answer
  • Which answer shows 0.05 written in scientific notation?​
    9·2 answers
  • HELPPPPPPPP PLEASE PLEASE
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!