Question

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

Answer 1

Answer:

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

Step-by-step explanation:

Given expression,

$3(x - \frac{1}{4}) = \frac{13}{6}$

Using distributive property,

$3x - \frac{3}{4}=\frac{13}{6}$

Using additive property of equality,

$3x -\frac{3}{4}+\frac{3}{4}=\frac{13}{6}+\frac{3}{4}$

Make the fraction with same denominator by taking LCM of Denominators in left side the equation,

$3x = \frac{26}{12}+\frac{9}{12}$

Adding fractions,

$3x =\frac{35}{12}$

Write 3 as a fraction,

$\frac{3}{1}x =\frac{35}{12}$

Using multiplicative property of equality for isolating the variable in right side, multiply 1/3 in both sides,

$x= \frac{35}{36}$

Hence, it is clear that he did mistake in step 5 he should have multiplied both sides by 1/3.

Answer 2

Answer:

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

Step-by-step explanation: