Final answer:
To solve the student's mathematics question, generate a range of values for the variable u from -10 to 100 as T_vector and solve the system for each value. The existing given information about physics equations seems to be misplaced and is not applicable to solving the algebraic system of equations.
Step-by-step explanation:
The student's question involves creating a vector of values for the variable u in a system of equations and solving the system for each value of u. To begin answering this question, you would first generate a vector of values ranging from -10 to 100 with steps of 1 and assign it to the variable T_vector. This vector will represent the different values that u can take on in the system. You would then substitute each value of T_vector into the system and solve it in turn. To solve the system, you can use methods like substitution, elimination, or matrix operations such as Gaussian elimination.
However, without additional context it is not clear how to proceed with the solution for the system, as the given information seems to refer to solving a physics problem involving velocity (v) and time (t), rather than providing a clear method to solve the given algebraic equations.