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

Mathematics

2 answers:

Snowcat [4.5K]3 years ago

6 0

Answer:

Step-by-step explanation:

When a system of equations has an infinite number of solutions, this means that the equations will be identical.

Convert the given equation to y = mx + b form.

2y - 4x = 6

2y = 4x + 6

y = 2x + 3

Answer A, B, and D don't apply.

Answer C is the answer because if it is the same equation but with a negative sign in front of each term. If you switch the signs on every single term, you will have the given equation.

irinina [24]3 years ago

5 0

Answer:

Step-by-step explanation:

A system of equations has infinitely many solutions when the two lines representing the equations coincide. i.e. the two equations are the same or a multiple of each other.

2y - 4x = 6

2y = 4x + 6

2y = 2(2x + 3)

y = 2x + 3

-y = -(2x + 3)

-y = -2x - 3

Hence the other equation is -y = -2x - 3

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Eli walked 12 feet down the hall of his house to get to the door. He conti in a straight line out the door and across the yard t

EastWind [94]

Answer:

a. Check the diagram

b. He walked 58 feet

c. He is 18 feet far away from the house

Step-by-step explanation:

a. Eli started inside the house an walked 12 feet (blue arrow), after that he keep walking until the mailbox for 32 feet (green arrow) and after that he came back until the dog 14 feet (red arrow).

b. For calculating how far has he walked we need to take into acount all the travel so we add all the arrows:

12ft + 32ft + 14ft =58ft

He walked 58 feet.

c. The distance from the dog to the house is determine by the substraction between the distance to the mailbox with the distance he walked to the dog then:

32ft - 14ft = 18ft.

He is 18 feet far away from the house.