Question

1. Find, explain, and correct the error in the solution given.

(1) 3x-2/4 +1=5
(2) 3x-2/4 +1-1=5-1
(3) 3x-2/4=4
(4) 3x-2/4+2=4+2
(5) 3x/4=6
(6) 3x/4 4=6 4
(7) 3x = 24
(8) 3x/3=24/3
(9) x = 8

Answer 1

1. (3x-2)/4+1=5
2. (3x-2)/4+1-1=5-1
3. (3x-2)/4=4
4. (3x-2)/4+2=4+2
5. this is the mistake, wecan't just add them because the fractions aren't the same
(3x-2)/4 plus 2/1, the bottom numbers areen't the same

what should be done is go back to step 4 and mltiply both sides by 4, don't add 2
results in
5. 3x-2=16
6. 3x=18
7. x=6