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
alukav5142 [94]
1 year ago
11

4. find the value of ‘k’ for which 2x 3y = 4 and (k 2) x 6y = 3k 2 has a infinitely many solutions.

Mathematics
1 answer:
Lana71 [14]1 year ago
7 0

For the given system of linear equations to give an infinite number of solutions the value of k should be 2.

<h3>What is a Dependent Consistent System of equations?</h3>

A system of the equation to be a Dependent Consistent System the system must have multiple solutions for which the lines of the equation must be coinciding.

Given the two systems of linear equations,

2x + 3y = 4

(k+ 2)x + 6y = 3k+2

For any system of equations to have infinitely many solutions, the equation of the linear system must be in ratio, so that the lines of the equations overlap each other. Therefore, the ratio for the two of the given equations can be written as,

2/(k+2) = 3/6 = 4/(3k+2)

Solving the ratio to get the value of k,

2/(k+2) = 3/6

2/(k+2) = 1/2

2 × 2 = 1 × (k+2)

4 = k + 2

4 - 2 = k

k = 2

Hence, for the given system of linear equations to give an infinite number of solutions the value of k should be 2.

Learn more about the System of equation here:

brainly.com/question/12895249

#SPJ1

You might be interested in
Can someone help with this question?
Bas_tet [7]
Get the app called connects! It’s really good help for math!
5 0
3 years ago
Quinn is playing video games at a virtual reality game room. The game room charges 20 dollars for every 30 minutes of play time.
Tpy6a [65]

Answer:

whats the question-

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Through: (-1,4), perpendicular to y = x
Law Incorporation [45]

Answer:

y = -x + 3

Step-by-step explanation:

I graphed the equation on the graph below to show you that it goes through (-1,4) and is perpendicular to y = x.

6 0
3 years ago
Nam has a bag of 8 chips numbered 1 to 8. He will perform an experiment to model the theoretical probability of pulling a chip w
Radda [10]
B is the correct answer I believe
8 0
3 years ago
Read 2 more answers
Find the number of paths from A to B. (Each step can only go up or to the right.)
mash [69]

Answer:

Total ways possible = 104 ways

Step-by-step explanation:

Total ways possible = 104 ways

The figure is attached here for understanding.

In the figure, the blank points are those points where we can not reach.

6 0
2 years ago
Other questions:
  • To find the quotient 4 divided 1/5 times 4
    12·1 answer
  • I need help fast <br> The top red is the key and the bottom red is the question
    12·1 answer
  • Karen wants to buy a $22.50 jacket that is marked 20% off. Select from the drop-down menu to correctly complete the sentence. Th
    8·2 answers
  • Which description best describes all parallelograms? A. Only one pair of sides is parallel. B. There are 4 right angles. C. Ther
    10·2 answers
  • Reba is collecting pledges for a walk-a-thon. Her mother has pledged a flat donation of $8, and her grandmother has pledged $2 p
    6·2 answers
  • What is 18-2x(4 3) i need the answer?
    11·1 answer
  • Write in standard form the equation of a line with a slope of -3/5 and a y intercept of -3
    6·1 answer
  • 25 points!! Pls help!! If not I will probably get a D pls I will mark brainliest but will report if answer is unrelated
    7·2 answers
  • 1. What is the total surface area 5.2 cm 6 cm 6 cm 6 cm 9cm​
    6·2 answers
  • A 7-pound bag of cat food costs $13.93. What is the unit price?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!