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
Fynjy0 [20]
3 years ago
15

Find p and q for which the linear eqn has infinite solutions

Mathematics
1 answer:
jekas [21]3 years ago
7 0

Answer:

p= 2.5

q= 7

Step-by-step explanation:

The lines should overlap to have infinite solutions, slopes should be same and y-intercepts should be same.

Equations in slope- intercept form:

6x-(2p-3)y-2q-3=0 ⇒ (2p-3)y= 6x -2q-3 ⇒ y= 6/(2p-3)x -(2q+3)/(2p-3)

12x-( 2p-1)y-5q+1=0 ⇒ (2p-1)y= 12x - 5q+1 ⇒  y=12/(2p-1)x - (5q-1)/(2p-1)

Slopes equal:

6/(2p-3)= 12/(2p-1)

6(2p-1)= 12(2p-3)

12p- 6= 24p - 36

12p= 30

p= 30/12

p= 2.5

y-intercepts equal:

(2q+3)/(2p-3)= (5q-1)/(2p-1)

(2q+3)/(2*2.5-3)= (5q-1)/(2*2.5-1)

(2q+3)/2= (5q-1)/4

4(2q+3)= 2(5q-1)

8q+12= 10q- 2

2q= 14

q= 7

You might be interested in
Have the conditions for inference been met?
alekssr [168]

Answer: the answer is A

Step-by-step explanation: because the original question does not state that the swimmer “randomly selected” the members. It only says the swimmer “selects” 10 members. Therefore, it is A (The sample is not random)

youre welcome

5 0
2 years ago
Solve for x.​
AfilCa [17]
You need to put the numbers it give you, algo will am I supposed to solve that
3 0
3 years ago
Estimate the surface area of the rectangular prism.<br> A) 28cm<br> B) 32cm<br> C) 64cm
Ede4ka [16]

Answer:

it a

Step-by-step explanation:

4 0
3 years ago
Please help, answer asap
Vladimir79 [104]
I needed help with that too
8 0
2 years ago
Read 2 more answers
I need to know how to do 5 &amp; 6 if someone could please help me
ehidna [41]
G and c you see look 2 times and look at the lines
8 0
3 years ago
Other questions:
  • What is the numerator 14/19 = ?/57
    15·2 answers
  • How do you subtract a whole number 3 from 1/3
    14·1 answer
  • What can you tell about the rate of the two reactions shown in the graph? A. They occurred at the same rate. B. One reaction sta
    15·1 answer
  • What is the area of this figure?
    8·1 answer
  • A chemist begins with 120 mL of a radioactive substance that decays exponentially. After 24 hours, only 30 mL of the substance r
    12·1 answer
  • Ray QM is the angle bisector of angle NQR. If angle PQN = 7x + 15 and angle NQM = 4x, what is the value of x?
    11·1 answer
  • Marcky has three tables of different
    7·1 answer
  • Can anyone help with this please? Janell randomly surveyed 50 students. She found out that 42 of the students had been to a musi
    7·1 answer
  • HELP! need the answer!
    7·1 answer
  • Find the slope. hsjsnsjsbjabajabahabh​
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!