Questions: Solve the equation. 5.09 t = 1.09 t - 8.00

Solution Steps

To solve the equation \(5.09t = 1.09t - 8.00\), we need to isolate the variable \(t\). We can do this by first moving all terms involving \(t\) to one side of the equation and then solving for \(t\).

Starting with the equation: \[ 5.09t = 1.09t - 8.00 \] we move the term \( 1.09t \) to the left side by subtracting \( 1.09t \) from both sides: \[ 5.09t - 1.09t = -8.00 \]

Combine like terms on the left side: \[ (5.09 - 1.09)t = -8.00 \] \[ 4.00t = -8.00 \]

Divide both sides by \( 4.00 \) to isolate \( t \): \[ t = \frac{-8.00}{4.00} \] \[ t = -2.00 \]

Final Answer