Question

determine whether 10 is a solution of the equation.

\\(\frac{x}{5} = 5\\)

Explanation:

Identify the given equation and value

We are given the linear equation:

$$ \frac{x}{5} = 5 $$

We need to determine if \( x = 10 \) is a solution to this equation.

Substitute the value into the equation

Using the Linear Equations knowledge point

$$
LATEXBLOCK0
$$

Simplify the expression

Using the Linear Equations knowledge point

$$
LATEXBLOCK1
$$

Compare both sides of the equation

We compare the simplified left-hand side to the right-hand side (RHS):

• \(\text{LHS} = 2\)
• \(\text{RHS} = 5\)

Since \(2
eq 5\), the left-hand side does not equal the right-hand side when \(x = 10\). Therefore, \(10\) is not a solution.

Answer:

No, \(10\) is not a solution of the equation.