Final answer:
The Matrix Row Operations Solver is the tool that solves a system of equations using augmented matrices step-by-step, allowing you to perform row operations to transform the matrix into row-echelon or reduced row-echelon form.
Step-by-step explanation:
The tool that solves a system of equations using augmented matrices step-by-step is the Matrix Row Operations Solver (option c). This tool allows you to perform row operations on the augmented matrix of the system to transform it into row-echelon form or reduced row-echelon form, ultimately solving the system.
To solve a system of equations using this tool, you would first represent the system as an augmented matrix, where the coefficients of the variables and the constants are organized in a matrix. Then, you would use row operations such as row swapping, scaling, and adding multiples of one row to another to manipulate the matrix until it is in a form that directly reveals the solutions.
By using the Matrix Row Operations Solver, you can efficiently solve systems of equations and obtain the solutions in a step-by-step manner.