8. Solve [tex]\frac{x}{10} = -7[/tex].

A. [tex]x = -70[/tex]
B. [tex]x = -0.7[/tex]
C. [tex]x = 3[/tex]
D. [tex]x = -17[/tex]



Answer :

To solve the equation [tex]\( \frac{x}{10} = -7 \)[/tex] for [tex]\( x \)[/tex], follow these steps:

1. Start with the given equation:
[tex]\[ \frac{x}{10} = -7 \][/tex]

2. To isolate [tex]\( x \)[/tex], multiply both sides of the equation by 10, since [tex]\( x \)[/tex] is being divided by 10:
[tex]\[ 10 \cdot \frac{x}{10} = 10 \cdot (-7) \][/tex]

3. The [tex]\( 10 \)[/tex] and [tex]\( \frac{1}{10} \)[/tex] on the left side cancel each other out, leaving:
[tex]\[ x = -70 \][/tex]

Thus, the solution to the equation [tex]\( \frac{x}{10} = -7 \)[/tex] is:
[tex]\[ x = -70 \][/tex]

Therefore, the correct answer is [tex]\( A. \, x = -70 \)[/tex].