Question

Louisa states that the solution to the equation One-fourth x minus 3 = StartFraction 3 Over 8 EndFraction x + 4 is x = 56. She verifies her solution using the steps below. Equation: One-fourth x minus 3 = StartFraction 3 Over 8 EndFraction x + 4 Step 1: One-fourth (56) minus 3 = StartFraction 3 Over 8 EndFraction (56) + 4 Step 2: 14 minus 3 = 21 + 4 Step 3: 11 = 25 Which statement most accurately describes Louisa's error? Louisa made an error when determining the original solution of x = 56. Louisa made an error when substituting the solution in for x. Louisa made an error when multiplying 56 by One-fourth and by StartFraction 3 Over 8 EndFraction. Louisa made an error when adding or subtracting.

Answer 1

Louisa made an error when determining the original solution of x = 56.

Explanation:

The screenshot if proof

Answer 2

Given:

The equation is

`(1)/(4)x-3=(3)/(8)x+4`

To find:

The Louisa's mistake.

Solution:

We have,

`(1)/(4)x-3=(3)/(8)x+4`

`(x-12)/(4)=(3x+32)/(8)`

Multiply both sides by 8.

`2(x-12)=3x+32`

`2x-24=3x+32`

`-24-32=3x-2x`

`-56=x`

`x=-56`

Louisa made an error when determining the original solution of x = 56.

Therefore, the correct option is A.