Question

solve \\(\frac{1}{4}x - 5 = 1\\).

a. \\(x = -16\\)

b. \\(x = 6\\)

c. \\(x = 1\\)

d. \\(x = 24\\)

Explanation:

Step1: Add 5 to both sides

To isolate the term with \( x \), we add 5 to both sides of the equation \( \frac{1}{4}x - 5 = 1 \). This gives us \( \frac{1}{4}x - 5 + 5 = 1 + 5 \), which simplifies to \( \frac{1}{4}x = 6 \).

Step2: Multiply both sides by 4

To solve for \( x \), we multiply both sides of the equation \( \frac{1}{4}x = 6 \) by 4. This gives us \( 4\times\frac{1}{4}x = 6\times4 \), which simplifies to \( x = 24 \).

Answer:

D. \( x = 24 \)