Question

solve the equation and check.

• 9x = - 81

select the correct choice below and, if necessary, fill in the answer box to complete your choice.
a. the solution is
(simplify your answer.)
b. the solution is all real numbers.
c. there is no solution.

Explanation:

Step1: Divide both sides by -9

To solve for \( x \) in the equation \( -9x = -81 \), we divide both sides of the equation by \( -9 \). This gives us the formula: \( x=\frac{-81}{-9} \)

Step2: Simplify the fraction

Simplifying \( \frac{-81}{-9} \), we know that a negative divided by a negative is a positive, and \( 81\div9 = 9 \). So \( x = 9 \)

Step3: Check the solution

Substitute \( x = 9 \) back into the original equation: \( -9\times9=-81 \), which simplifies to \( -81=-81 \). This is a true statement, so \( x = 9 \) is indeed the solution.

Answer:

A. The solution is \( 9 \)