Solve the equation. 4 – t = 3(t – 1) – 5 (1 point) Responses 3 3 6 6 no solution no solution identit
To solve the equation 4 - t = 3(t - 1) - 5, we first distribute the 3 on the right side:
4 - t = 3t - 3 - 5
Next, we combine like terms:
4 - t = 3t - 8
Now, let's isolate the variable t. Add t to both sides:
4 = 4t - 8
Now add 8 to both sides:
12 = 4t
Divide both sides by 4 to solve for t:
t = 3
So the solution to the equation is t = 3.
To solve the equation 4 - t = 3(t - 1) - 5, follow these steps:
1. Distribute the 3 to both terms inside the parentheses on the right side of the equation:
4 - t = 3t - 3 - 5
2. Combine like terms on the right side of the equation:
4 - t = 3t - 8
3. Move all the terms with t to one side of the equation by adding t to both sides:
4 = 3t + t - 8
4. Combine the t terms on the right side of the equation:
4 = 4t - 8
5. Move the constant term to the other side of the equation by adding 8 to both sides:
4 + 8 = 4t - 8 + 8
6. Simplify both sides:
12 = 4t
7. Divide both sides by 4 to solve for t:
12/4 = 4t/4
t = 3
The solution to the equation is t = 3.
To solve the equation 4 – t = 3(t – 1) – 5, we need to perform a series of steps to isolate the variable 't' on one side of the equation. Here's how we can proceed:
1. Distribute the 3 on the right side of the equation:
4 - t = 3t - 3 - 5
2. Combine like terms on the right side of the equation:
4 - t = 3t - 8
3. Bring all terms involving 't' to one side of the equation by adding 't' to both sides:
4 - t + t = 3t - 8 + t
Simplifying this yields:
4 = 4t - 8
4. Now, isolate the term involving 't' by adding 8 to both sides:
4 + 8 = 4t - 8 + 8
Simplifying this gives:
12 = 4t
5. Finally, solve for 't' by dividing both sides by 4:
12/4 = 4t/4
Simplifying this gives:
3 = t
Hence, the solution to the equation 4 – t = 3(t – 1) – 5 is t = 3.