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
noname [10]
3 years ago
11

PLEASE ANSWERRR! FIRST CORRECT ANSWER WILL VOTE BRAINLIEST

Mathematics
1 answer:
FinnZ [79.3K]3 years ago
8 0

Answer:

  • k = 7/4

Step-by-step explanation:

<u>Given system:</u>

  • x + y + 3z = 10,
  • -4x + 3y + 5z = 7,
  • kx + z = 3

<u>Substitute z in the first two equations with z = 3 - kx:</u>

  • x + y + 3(3 - kx) = 10 ⇒ (1 - 3k)x + y = 1 ⇒ y = (3k - 1)x + 1
  • -4x + 3y +5(3 - kx) = 7 ⇒ -(4 + 5k)x + 3y = -8 ⇒ y = 1/3(5k + 4) - 8

In order the two equations above not to have a solution, the lines should be parallel. Parallel lines have equal slopes.

<u>Solve the following equation for k:</u>

  • 3k - 1 = 1/3(5k + 4)
  • 9k - 3 = 5k + 4
  • 4k = 7
  • k = 7/4
You might be interested in
What is the maximum amount of money that an employee under 50 years old can put into a 403(b) or 401(k) in 2018?
Vladimir79 [104]

Answer:

6,000

Step-by-step explanation:

This is a statistic according to the balance

8 0
3 years ago
One number is 2 less than a second number. twice the second number is 16 more than 4 times the first. find the two numbers.
Nostrana [21]
Let the numbers be x and y

x= y-2.... (1)
and, 2y = 16 + 4x.... (2)

putting the value of x from (1) in (2),

2y = 16 + 4x
=> 2y = 16 + 4(y-2)
=> 2y = 16 + 4y - 8
=> 2y = 8 + 4y
=> 2y - 4y = 8
=> -2y = 8
=> y =-8/2
=> y= -4

and x = -4-2 = -6

hence , in short the numbers are -2 and -4



4 0
3 years ago
I don't think this is correct plz check me
Readme [11.4K]

Answer:

The answer is the first one

Step-by-step explanation:

The cost of an adult ticket is $15

The price of an adult ticket is 1/2 the price of a student ticket plus $8

x is the cost of a student ticket, so

1/2(x) + $8 = $15

8 0
3 years ago
What percent is 54 of 60
Alex787 [66]
54-60 is 90 percent because 54÷60= 0.9=90
4 0
3 years ago
Read 2 more answers
Consider the system of equations shown below.
Rina8888 [55]
The linear equations have the same slope but different y-intercepts. This is the right answer because you can see the x coefficient for both equations is -5 but 1 and 10 are not the same and they are y-intercepts. These two are parallel so they will never meet.
4 0
4 years ago
Read 2 more answers
Other questions:
  • What is the measure of interior angle ABC of the regular polygon shown?
    8·1 answer
  • for every 4 miles vanessa jogged, cody jogged 3 miles. if vanessa jogged 1 miles, how far would cody have jogged
    12·2 answers
  • What is the value of XY/z if x=1 y=-10 and z=2<br> A.5<br> B.-5<br> C.1/5<br> D.-1/5
    15·2 answers
  • Name the parent function for the graph below.<br> HELP PLEASE
    10·2 answers
  • Lmk ASAP please<br> Evaluate the following expression.<br> 9<br> 1x (-4) – 8 x<br> -3
    15·1 answer
  • Which statement best describes relations between the United States and South Korea today?
    11·1 answer
  • For 50 consecutive days, a process engineer has measured the weight of a component after it has been coated with special paint.
    6·1 answer
  • To solve for the missing length, which operation should you perform?
    12·2 answers
  • A Jet travels 460 miles in 2 hours.<br> At this rate, how far could the jet fly in 8 hours?
    8·2 answers
  • Give two or more solutions to x&lt; 29. Show why each value is a solution.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!