16-2t=5t+9
The correct answer and explanation is:
To solve the equation 16−2t=5t+916 – 2t = 5t + 9, follow these steps:
Step 1: Simplify the equation
Start by isolating the terms with tt on one side of the equation. First, add 2t2t to both sides of the equation to move the tt-terms to the right side: 16=7t+916 = 7t + 9
Step 2: Isolate the constant term
Now, subtract 9 from both sides to move the constant term to the left side: 16−9=7t16 – 9 = 7t 7=7t7 = 7t
Step 3: Solve for tt
To isolate tt, divide both sides of the equation by 7: t=77t = \frac{7}{7} t=1t = 1
Conclusion:
The solution to the equation is t=1t = 1.
Explanation:
This process is called solving a linear equation. The goal is to isolate the variable tt by performing the same operations on both sides of the equation. First, you combined like terms and moved the variables and constants to opposite sides. Then, by dividing both sides by the coefficient of tt, the solution was found. This technique ensures the equation remains balanced, which is essential for finding the correct value of tt.