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PLEASE HELP!! WILL GIVE BRAINLIEST!!!
Jerry solved this equation: 3 ( x − 1 4 ) = 13 6
1. 3x − 3 4 = 13 6
2. 3x − 3 4 + 3 4 = 13 6 + 3 4
3. 3x = 26 12 + 9 12
4. 3x = 35 12
5. ( 3 1 ) 3 1 x = 35 12 ( 3 1 )
6. x = 105 12
In which step did Jerry make an error?
A) In step 2, he should have subtracted 3/4 from both sides.
B) In step 3, he should have found an LCD of 10.
C) In step 4, he should have subtracted 9 from 26.
D) In step 5, he should have multiplied both sides by 1.3

Respuesta :

Answer:

option D

Step-by-step explanation:

Jerry solved this equation: 

[tex]3(x-\frac{1}{4})=\frac{13}{6}[/tex]

In the first step , she multiplied 3 inside the parenthesis

1. [tex]3x-\frac{3}{4}=\frac{13}{6}[/tex]

In step 2, 3/4 is added on both sides

2. [tex]3x-\frac{3}{4}+\frac{3}{4}=\frac{13}{6}+\frac{3}{4}[/tex]

In step 3, we take LCD 12

3. [tex]3x=\frac{26}{12}+\frac{9}{12}[/tex]

In step 4, add the fractions

4. [tex]3x=\frac{35}{12}[/tex]

Here, 3 or 3/1 are same.

[tex]\frac{3}{1}x=\frac{35}{12}[/tex]

In step 5, to remove 3/1 we multiply both sides by 1/3.

Instead of multiplying 1/3 , Jerry made an error by multiplying 3/1

[tex]\frac{1}{3} \cdot \frac{3}{1}x=\frac{1}{3} \cdot \frac{35}{12}[/tex]

[tex]x=\frac{35}{36}[/tex]

In step 5, he should have multiplied both sides by 1/3

Answer:

the answer is the fourth option or D

Step-by-step explanation: