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What is the solution to this equation?

-15x = 90

A. x = -105
B. x = -6
C. x = 6
D. x = 105


Sagot :

To solve the equation [tex]\( -15x = 90 \)[/tex], we need to isolate the variable [tex]\( x \)[/tex].

1. Start with the given equation:
[tex]\[ -15x = 90 \][/tex]

2. To isolate [tex]\( x \)[/tex], we need to get rid of the coefficient [tex]\(-15\)[/tex] that is multiplying [tex]\( x \)[/tex]. We can do this by dividing both sides of the equation by [tex]\(-15\)[/tex]:
[tex]\[ x = \frac{90}{-15} \][/tex]

3. Perform the division:
[tex]\[ x = -6 \][/tex]

Thus, the solution to the equation [tex]\( -15x = 90 \)[/tex] is [tex]\( x = -6 \)[/tex]. Therefore, the correct answer is:

B. [tex]\( x = -6 \)[/tex]
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