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Pls help solve i dont understand why B isnt the right answer

Pls help solve i dont understand why B isnt the right answer-example-1

2 Answers

5 votes

Answer:

the answer is E which has no solution it is a linear equation,and if you collect like term 2x will be eliminated

User MichaelGG
by
8.2k points
3 votes

Answer:

E has 0 solutions, as it creates a contradiction.

Explanation:

A:

3x+6=2x+4

-2x = -2x

x+6=4

-6 = -6

x=-2

This has 1 solution.

B:

2(x+3)=2x+6

2x+6=2x+6

-2x = -2x

6=6

-6 = -6

0=0

This has infinite solutions, since it is an identity.

C:

3x-4=5-x

+1x = +1x

4x-4=5

+4 = +4

4x=1

/4 = /4

x=1/4

This has one solution.

D:

3x+6=2x+6

-2x = -2x

x+6=6

-6 = -6

x=0

This has one solution.

E:

2x+4=2x+6

-2x = -2x

4=6

This has zero solutions, as it creates a contradiction.

Hope this helps!

User Moli
by
7.6k points