Questions: 5t+3+1=19

Transcript text: $5t+3+1=19$

Solution

Solution Steps

To solve the equation $5t + 3 + 1 = 19$, we need to isolate the variable $t$. First, combine the constants on the left side of the equation. Then, subtract the combined constant from both sides to isolate the term with $t$. Finally, divide by the coefficient of $t$ to solve for $t$.

Step 1: Combine Constants

Combine the constants on the left side of the equation: \[ 5t + 3 + 1 = 19 \] \[ 5t + 4 = 19 \]

Step 2: Isolate the Term with $ t $

Subtract 4 from both sides to isolate the term with $ t $: \[ 5t + 4 - 4 = 19 - 4 \] \[ 5t = 15 \]

Step 3: Solve for $ t $

Divide both sides by 5 to solve for $ t $: \[ t = \frac{15}{5} \] \[ t = 3 \]