Solve the equation below for t, and double check 50푡 − 10 = 25푡 + 15

Answer 1

To solve the equation 50t - 10 = 25t + 15 for t, follow these steps:

1. Subtract 25t from both sides of the equation to isolate the t term:
50t - 25t - 10 = 25t - 25t + 15
25t - 10 = 15

2. Add 10 to both sides of the equation to move the constant term to the right:
25t - 10 + 10 = 15 + 10
25t = 25

3. Divide both sides of the equation by 25 to solve for t:
(25t) / 25 = 25 / 25
t = 1

Therefore, the solution for t is 1.

Now, let's double check the solution by substituting t = 1 back into the original equation:

50t - 10 = 25t + 15
50(1) - 10 = 25(1) + 15
50 - 10 = 25 + 15
40 = 40

The left side is equal to the right side, so the solution t = 1 is correct.