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
Vinil7 [7]
3 years ago
13

A system of equations has definitely many solutions. If 2y-4x=6 is one of the equations, which could be the other equation?

Mathematics
1 answer:
NISA [10]3 years ago
8 0

The given equation is ⇒⇒⇒ 2y - 4x = 6

∴ 2y = 4x + 6   ⇒ divide all the equation over 2

∴ y = 2x + 3  and it can be written as ⇒⇒⇒ y - 2x = 3

The last equation represents a straight line with a slope = 2 and y-intercept = 3

To construct a system of equations with definitely many solutions and the equation ( 2y-4x=6 ) is one of the equations, the other equation must have the same slope and the same y-intercept.

so, the general solution of the other equation is ⇒ a ( y - 2x ) = 3a

Where a is constant and belongs to R ( All real numbers )

The system of equations which has definitely many solutions is consisting of <u>Coincident lines.</u>

You might be interested in
I need help please! In each case below, list the lettered measures for angles or sides in descending order (FROM GREATEST TO LEA
Hitman42 [59]

Answer:

a > b > c

Step-by-step explanation:

The longest side is the one that sees the angle with the biggest measure

The angles are shown in the image, the third angle is 75 degrees (because the sum of interior angle is equal to 180)

So the list of the sides in descending order is as follows :

a > b > c (a sees angle measure 75, b sees angle measure 70, and c sees angle measure 35)

8 0
3 years ago
8. Rochelle had $1500 in her bank account. She had to pay bills. Her electric bill was
blondinia [14]

her total money = 1500 + 250

= $1750

expenditure= 122 + 287 + 61

= $470

left over money = 1750 - 470

= $1280

8 0
2 years ago
You are and $20 per hour doing then skipping work your total earnings depend on the amount of hours you spend the landscaping wh
konstantin123 [22]
The independent variable would be hours spent working.
6 0
4 years ago
⦁ Kim's age is twice that of her sister. When you add Kim's age to her sister's age, you get 24. How old is each sister?
Vitek1552 [10]

Answer:

Kim is 16 years old and her sister is 8 years old.

Step-by-step explanation:

We can use equations to represent this scenario.

Let Kim's age be 'k' and her sister's age be 's'.

Thus, k=2s (since Kim's age is double of her sister)

and k+s=24 (their ages add to 24 (from question)

Substituting the first equation:

2s+s=24

3s=24

s=8

Therefore, Kim's sister is 8 years old.

Now substitute this value into the second equation:

k+8=24

k=16

Therefore, Kim is 16 years old.

6 0
3 years ago
-2x+6=-6 what is the answer to this promblem
leva [86]

Answer:

Step-by-step explanation:

-2x + 6 = -6

-2x = -12

x = 6

5 0
3 years ago
Read 2 more answers
Other questions:
  • Jake wrote this equation for the area of a rectangle. 431.2 = 24.5w. What is the width (w) of this rectangle? A. 17.6 units B. 6
    5·1 answer
  • Mary wants to fill a cylindrical cup with water. The dimensions of the cup are labeled below.
    15·2 answers
  • Kite DCFE is inscribed in circle A shown below:
    7·2 answers
  • What times what equals 59
    5·1 answer
  • Which of the following quadrilaterals have diagonals that bisect each other?
    12·1 answer
  • Make a friend right now 10 points for whoever douse ✌
    13·2 answers
  • 0.41666666666 as a fraction
    9·2 answers
  • Which of the following is a subset of the set E which contains all even integers?
    13·1 answer
  • 20 POINTS AND I WILL GIVE BRAINLIEST!!!
    13·2 answers
  • (b) It takes 37 pounds of seed to completely plant a 4-acre field. How many pounds of seed are needed per acre?​
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!