Question

what value of t is a solution to this equation?
10(t - 8) = -90

t = -1 \t\t t = 2

Explanation:

Step1: Divide both sides by 10

To isolate the term with \( t \), we divide both sides of the equation \( 10(t - 8) = -90 \) by 10.

$$ \frac{10(t - 8)}{10} = \frac{-90}{10} $$

Simplifying both sides, we get \( t - 8 = -9 \).

Step2: Solve for \( t \)

To find the value of \( t \), we add 8 to both sides of the equation \( t - 8 = -9 \).

$$ t - 8 + 8 = -9 + 8 $$

Simplifying both sides, we get \( t = -1 \).

We can also verify by substituting \( t = -1 \) and \( t = 2 \) into the original equation:

• For \( t = -1 \): \( 10(-1 - 8) = 10(-9) = -90 \), which matches the right - hand side.
• For \( t = 2 \): \( 10(2 - 8)=10(-6)= - 60

eq - 90\).

Answer:

\( t=-1 \) (So the correct option is the one with \( t = - 1 \))