174k views
4 votes
Pleeaase help.......

Select ALL the correct answers

Which equations have infinitely many solutions?

Pleeaase help....... Select ALL the correct answers Which equations have infinitely-example-1

2 Answers

2 votes

Answer:

The 1st, 3rd and 4th

Explanation:

User Almaz
by
7.6k points
1 vote

Answer:

Options B and D

Explanation:

Let's solve each equation:

x-3x=-2x+4

-2x=-2x+4

0=4

No solutions, so A is wrong

x-1/3(3x)=0

x-(3x/3)=0

x-x=0

0=0

Infinitely many solutions, so B is correct

1/3x-3=4+2x

1/3x=7+2x

-5/3x=7

x=-21/5

One solution, so C is incorrect

3x+2-1/3(3x)=2+2x

3x+2-(3x/3)=2+2x

3x+2-x=2+2x

2x+2=2+2x

2x=2x

0=0

Infinitely many solutions, so D is correct

x-1/3x+2=0

2/3x+2=0

2/3x=-2

x=3

One solution, so E is incorrect

As you can see, when both sides of the equations are equal to each other such as 0=0 and x=x, you'll always have infinitely many solutions. Therefore, options B and D are correct

User Tim De Lange
by
7.5k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories