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]
2 years ago
12

Which value of k would cause the system of linear equations 35 x 14 y = 119 and 5 x 2 y = k to have an infinite number of soluti

ons? 3 7 17 21.
Mathematics
1 answer:
larisa86 [58]2 years ago
3 0

To solve the question we must know about the System of equations.

<h2>System of equation</h2>

<h2>Inconsistent System</h2>

A system of equations to have no real solution, the lines of the equations must be parallel to each other.

<h2>Consistent System</h2><h3>1. Dependent Consistent System</h3>

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

<h3>2. Independent Consistent System</h3>

A system of the equation to be Independent Consistent System the system must have one unique solution for which the lines of the equation must intersect at a particular.

The value of k should be 17 so that the system of equations gives infinite number of solutions.

<h2>Explanation</h2>

Given to us

  • 35x + 14y = 119
  • 5x +2y = k

As we know that for a system of equations to give an infinite number of solutions. the equations of the system must be either same or in ratio.

<h3>In Equation 1</h3>

35x + 14y = 119,

dividing both the sides of the equation by 7,

\dfrac{35x + 14y}{7} = \dfrac{119}{7}\\\\&#10;\dfrac{35x}{7}+\dfrac{14y}{7} = \dfrac{119}{7}\\&#10;5x+2y = 17

As already discussed the system of equations to give infinite number of solutions, the equations must be the same. therefore, comparing both the equations we see that the value of k should be 17.

Hence, the value of k should be 17, so that the system of equations gives infinite number of solutions.

<h3>Verification</h3>

As we can see in the below image on equating the value of k as 17, the line of the system of equations coincides, therefore, the system will have infinite number of solutions.

Learn more about System of Equations:

brainly.com/question/12895249

You might be interested in
If sin A = 6 over 13, then which of the following is correct?
Inessa [10]
Answer is B. CSC A= 13 over 6
You need to learn these basic rules:
Sin is opposite csc
Cos is opposite sec
Tan is opposite Cot
In saying this, CsC is the reciprocal for Sin. You would have to switch the numerator and denominatior to get your answer
4 0
3 years ago
The graph below represents the amount of change Jaxon would receive, y, if he bought a item with a cost of x.
alexira [117]

Answer:

I don't really understand the question

Step-by-step explanation:

I don't know the answer

4 0
3 years ago
HELP ITS AN EMERGENCY HELP HELP FOR 100 POINTS
Alecsey [184]

Answer:

that's easy 4/15- 1/15=3/15,9 15/24-2 9/24=7 6/24, 1 5/1+1 1/1= 2 6/1 there

Step-by-step explanation:

6 0
2 years ago
An adidas hat that has a regular price of $15.50 and is discounted 25%
lutik1710 [3]
A) $11.63
B) 7.5% tax on something that is $11.63 would be $.87225
C) total cost with sale and tax would be $12.50
3 0
2 years ago
Read 2 more answers
15% off the original price of $350, plus 6% sales tax
jonny [76]
Step 1. 100-15=85
Step 2. $350 *.85=$297.50
Step 3. $297.50 * .06= $17.85
Step 4. $297.50+17.85=$315.35

Answer: $315.35
7 0
3 years ago
Other questions:
  • Find 5x − 3y − z if x = −2, y = 2, and z = −3<br><br> −19<br> 19<br> 13<br> −13
    6·1 answer
  • The answer pls read it's about triangles and geometry!!!
    10·1 answer
  • If x+3y=7 and x-3y=1 what's y
    12·1 answer
  • you are dividing 3972 by 41 explain why the first digit in the quotient should be placed over the tens place of the dividend
    9·2 answers
  • If the smallest angle of a triangle is 20 degrees and it is included between sides of 4 and 7, then (to the nearest tenth) the s
    11·2 answers
  • How do I do this problem<br> 2 - (7/8 - 3/4 =
    5·1 answer
  • How donyou solve .345-2.34?
    12·2 answers
  • Which quadratic function is represented by the graph? 3 O y = 0.5(x + 2)2 + 4 O y = 0.5(x + 3)2 -0.5 O y = 0.5(x - 3)2 -0.5 O y
    15·1 answer
  • Can someone pls help me
    11·1 answer
  • 3+7(0.7+1.3)<br> What is the answer and how to solve it?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!