Question

For each value of x, determine whether it is a solution to x divided 4=6 .

Answer 1

To determine whether a value of \( x \) is a solution to the equation \( \frac{x}{4} = 6 \), you can solve for \( x \) as follows:

1. Start with the equation:
\[
\frac{x}{4} = 6
\]

2. Multiply both sides by 4 to isolate \( x \):
\[
x = 6 \times 4
\]

3. Calculate the right side:
\[
x = 24
\]

So, the solution to the equation \( \frac{x}{4} = 6 \) is \( x = 24 \).

If you want to check if a specific value of \( x \) is a solution, substitute that value into the equation and see if the equation holds true. For instance:

- If \( x = 24 \):
\[
\frac{24}{4} = 6 \quad \text{(True)}
\]

- If \( x = 20 \):
\[
\frac{20}{4} = 5 \quad \text{(False)}
\]

- If \( x = 28 \):
\[
\frac{28}{4} = 7 \quad \text{(False)}
\]

Only the value \( x = 24 \) satisfies the equation \( \frac{x}{4} = 6 \).