Final answer:
A system of linear equations can be solved step-by-step or with a calculator, expressing one variable in terms of another. The TI-83, 83+, or 84 calculators can solve such systems quickly with their built-in tools. Practice in solving linear equations helps reinforce these concepts.
Step-by-step explanation:
To solve a system of linear equations in terms of an arbitrary variable such as x, one can either use a step-by-step approach or employ a calculator tool. In the step-by-step approach (Solution A), we analyze and simplify the equations, often using methods such as substitution or elimination, to express one variable in terms of another, such as solving for y in terms of x.
When using a calculator, such as the TI-83, 83+, or 84 (Solution B), one can input the system of equations into the calculator's system of equations solver or linear system solution finder to get the solution more quickly. It is essential when using calculators to enter the correct equations and choose the variable to solve for, in this case, x.
For example, given linear equations like y = mx + b, where m and b are constants, the solution would require substituting a given value for x or expressing y directly in terms of x if all other values are known. Practice tests often include problems that require solving linear equations, which can be a good way to test your understanding of these principles.