Question

Which equation has infinitely many solutions?

O 12 + 4x = 6x + 10 - 2x
5x + 14 - 4x = 23 + x - 9
Ox+9 -0.8x = 5.2x + 17 - 8
0 4x - 2x = 20
Next
Someone plz show me the work I just need to know which actually does and the work just someone hurry

Answer 1

your answer is correct

Explanation:

5x+14-4x=23+x-9

simply both sides

x+14=x+14

Answer 2

The second option (5x+14-4x=23+x-9)

Explanation:

For an equation to have infinitely many solutions each side must be exactly the same when simplified.

12+4x=6x+10-2x

Combine alike terms.

12+4x=4x+10

Subtract 4x from each side

12=10

This is not true so this equation has no solutions.

5x+14-4x=23+x-9

Combine alike terms

x+14=14+x

subtract x from each side

14=14

This is true so this equation has infinitely many solutions.

Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!