Questions: 2.25t+5=13.5t+14

Solution Steps

We start with the equation: \[ 2.25 t + 5 = 13.5 t + 14 \] To isolate the terms involving \( t \), we rearrange the equation: \[ 2.25 t - 13.5 t = 14 - 5 \]

This simplifies to: \[ -11.25 t = 9 \]

Next, we divide both sides by \(-11.25\): \[ t = \frac{9}{-11.25} \] Converting \( -11.25 \) to a fraction gives us: \[ t = \frac{9}{-\frac{45}{4}} = \frac{9 \cdot 4}{-45} = \frac{36}{-45} = -\frac{4}{5} \]

Thus, the solution for \( t \) is: \[ t = -\frac{4}{5} \]

Final Answer