Final answer:
To find the value of 4u+1 given that -3u+9 = 6, we solve for u to get u = 1 and then substitute u into 4u+1 to get the result, which is 5. The calculation is algebraically simplified and provides a reasonable answer.
Step-by-step explanation:
To find the value of 4u+1 given that -3u+9 = 6, we first need to solve for u. Here are the steps:
- Start with the given equation: -3u + 9 = 6.
- Subtract 9 from both sides to isolate the terms with u: -3u = 6 - 9.
- Simplify the right side: -3u = -3.
- Divide both sides by -3 to solve for u: u = (-3) / (-3) = 1.
- Now, plug the value of u into the expression 4u+1: 4(1) + 1.
- Simplify the expression: 4 + 1 = 5.
Therefore, the value of 4u+1 is 5.
To ensure our answer is reasonable, we know that a positive value for u will yield a positive value for 4u+1, and the steps follow proper algebraic simplification.