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
Evgesh-ka [11]
3 years ago
11

In a system of linear equations in two​ variables, if the graphs of the equations are the​ same, the equations are (blank) equat

ions.
Mathematics
1 answer:
makkiz [27]3 years ago
5 0

Answer:

Please check the explanation.

Step-by-step explanation:

We know that when a consistent system has infinite solutions, then the graphs of the equations are exactly the same. In other words, these equations are called dependent equations.

All points of dependent equations share the same slope and same y-intercept.

For example,

6x-2y = 18

9x-3y=27

represent the dependent equations.

Writing both equations in slope-intercept form

y=mx+c

where m is the slope and c is the y-intercept

Now

6x-2y=18

2y = 6x-18

Divide both sides by 2

y = 3x - 9

Thus, the slope = 3 and y-intercept = b = -9

now

9x-3y=27

3y = 9x-27

Divide both sides by 3

y = 3x - 9

Thus, the slope = 3 and y-intercept = b = -9

Therefore, both equations have the same slope and y-intercept. Their graphs are the same. Hence, they are called dependent equations.

You might be interested in
△DEF is shown below.<br><br>Triangle DEF<br><br>What is m∠DEF?​
S_A_V [24]

Answer:

m∠DEF = 50

Step-by-step explanation:

∠DEG = ∠GEF

3y + 4 = 5y - 10

subtract 4 from both sides

3y = 5y - 14

subtract 5y from both sides

-2y = -14

divide by -2

y = 7

Add 7 into the equations:

3y + 4 + 5y - 10

3(7) + 4 + 5(7) - 10

21 + 4 + 35 - 10

25 + 25

50

4 0
3 years ago
What is the distance bewteen -7 and 41
Gala2k [10]
To find distance, subtract the largest number from smaller

41 - (-7)

41 + 7 = 48

the distance is 48

hope this helps
3 0
3 years ago
Jen walked 1/4 of a mile in 1/2 of an hour. At this rate, how long will it take her to walk 2 miles to the park?
Leto [7]

Answer:

The awnser is C. 4 hours

Step-by-step explanation:

It takes her 2 hours two walk 1 mile so 2*2 is 4

4 0
3 years ago
An angle measures 120°less than the measure if its supplementary angle. What is the measure of each angle
marissa [1.9K]

Answer: 60°

Step-by-step explanation: 180 - 120 = 60.

7 0
3 years ago
What common Denominator is for 18/24
DENIUS [597]
The common denominator for 18/24 is 24
3 0
3 years ago
Other questions:
  • *PLEASE ANSWER* (: Find the measure of angle A.
    6·2 answers
  • A random sample of 42 college graduates who worked during their program revealed that a student spent an average 5.5 years on th
    9·1 answer
  • How much will each fifth grader spend on lunch?
    12·2 answers
  • A pair of badminton rackets was originally marked at $30 and has been sold $24. What was the percent of discount
    15·1 answer
  • Janice has car insurance that she must pay four times a year. If each payment is $156, how much money should she set aside each
    9·2 answers
  • Jacelyn charges $9 per hour for umpiring softball games. If u represents Jacelyn's total fee after umpiring for h hours,
    10·1 answer
  • Wut is 2+2 i willy need hewp pwease
    6·1 answer
  • 2t + 9 + 4 + 3t = 23<br> full answer no word
    10·1 answer
  • Which company has the highest charge per attendee?
    14·1 answer
  • A company makes and sells customized yard signs. If you order 5 signs, they charge $72 which includes shipping. If you purchase
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!