Question

solve.
9t = -42

t = \square
(simplify your answer. type an integer or a fraction.)

Explanation:

Step1: Isolate the variable t

To solve for \( t \) in the equation \( 9t = -42 \), we need to divide both sides of the equation by 9. This is based on the property of equality which states that if we divide both sides of an equation by the same non - zero number, the equation remains true.
So we have \( t=\frac{-42}{9} \)

Step2: Simplify the fraction

We can simplify the fraction \( \frac{-42}{9} \) by finding the greatest common divisor (GCD) of 42 and 9. The GCD of 42 and 9 is 3. We divide both the numerator and the denominator by 3.
\( \frac{-42\div3}{9\div3}=\frac{-14}{3} \)

Answer:

\( t = -\frac{14}{3} \)