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

Given:

The equation is

$\dfrac{1}{4}x-3=\dfrac{3}{8}x+4$

To find:

The Louisa's mistake.

Solution:

We have,

$\dfrac{1}{4}x-3=\dfrac{3}{8}x+4$

$\dfrac{x-12}{4}=\dfrac{3x+32}{8}$

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.

Answer 2

Answer:

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

Step-by-step explanation:

The screenshot if proof