Question

question 4
solve the equation \\(\frac{|x|}{7} = 9\\).
(fill each blank with an integer where the smaller integer is on the first blank.)
\\(x = \square\\) or \\(x = \square\\)

Explanation:

Step1: Eliminate the denominator

Multiply both sides by 7.
$$\frac{|x|}{7} \times 7 = 9 \times 7$$
Simplify to get $|x| = 63$.

Step2: Solve absolute value equation

An absolute value $|x|=a$ means $x=a$ or $x=-a$.
So $x = 63$ or $x = -63$.

Step3: Order the solutions

Place the smaller integer first.
$-63 < 63$, so the first blank is $-63$, the second is $63$.

Answer:

$x = -63$ or $x = 63$