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
Two lines that intersect to form right angle are called
Sergio039 [100]

Answer:

perpendicular

Step-by-step explanation:

When 2 lines intersect at any point, not just in the middle of each (that has nothing to do with it), and they meet to form right angles, the lines are perpendicular to one another and their slopes are opposite reciprocals.

4 0
2 years ago
HELLLLPPPPPLPPOOLL no fake answers pls
stepan [7]

Answer:

x = 11

Step-by-step explanation:

(3x + 28) + (5x + 52) + ( 2x - 10) = 180

(3x + 5x + 2x) + (28 + 52 - 10) = 180

10x + 70 = 180

10x = 180 - 70

10x = 110

x = 11

6 0
2 years ago
Read 2 more answers
What is 60 -1 1/2 (8) 2 equal
sleet_krkn [62]

Answer:

Step-by-step explanation:

60 -1 1/2 (8) 2

= 60 - 3/2 (8)(2)

= 60 - 3(8)

= 60 - 24

= 36

5 0
3 years ago
If the ratio of black jeans to bluejeans is 6 to 18 with a total of 240 jeans how many of them are blue
Leya [2.2K]
The ratio is 6:18 and you are trying to find out what are blue. You divide 240 by 6 and get 40. You then multiply 40 x 18 and get 720.
5 0
3 years ago
PLS HELP ME 30 POINTS IN TOTAL
Soloha48 [4]

Answer:

Both of the equations are right because if you take s=4p, then reverse it, p=1/4 of s because 4 of p is equal to s so s/4 = p

6 0
2 years ago
Other questions:
  • What do I write help!​
    13·1 answer
  • Please save her thanks :)
    6·1 answer
  • Claudia brought a 16-cup jug filled with water to the soccer game. She shared the water with her teammates. How can Claudia find
    9·1 answer
  • Please helpp<br> What is the area of the purple region? <br> What is the area of the green region?
    7·1 answer
  • Multiply these two together in simplest from
    9·1 answer
  • A jar contains 5 blue marbles, 8 red marbles, 4 white marbles, and 3 purple marbles. Suppose you pick a marble at random without
    13·1 answer
  • Ash's family is on vacation. their car is traveling at a constant of 60 miles per hour.
    10·1 answer
  • The sum of four consecutive odd integers is 328. What are the integers? (show your work)
    8·1 answer
  • Each quart of syrup could fill 2 jars. How many quarts of syrup would be needed to<br> 16 jars?
    7·1 answer
  • Simplify b^10/b^2<br><br> A. b^5<br><br> B. b^-5<br><br> C. b^8<br><br> D. b^-8
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!