Question
When solving a system of linear equations, try to algebraically form one equation that has only one variable. True False
Ask by Rodriguez Savage. in the United States
Feb 27,2025
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Answer
When solving a system of linear equations, it's common to create an equation with only one variable to simplify the process and find the solution easily.
Solution
True
When solving a system of linear equations, many common methods (such as substitution or elimination) involve manipulating the equations to express one variable in terms of the others. Creating an equation with only one variable often simplifies the process by allowing you to solve for that variable directly, and then substitute back into the other equation(s) to find the remaining variables.
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Simplify this solution Bonus Knowledge
True! By manipulating the equations—like using substitution or elimination—you can transform them to isolate one variable. This can significantly simplify your problem, making it easier to solve for the unknowns. It’s like clearing the clutter to find your way! Another fun fact: in the world of graphs, a system of linear equations can be represented by lines in a coordinate plane. The point where the lines intersect represents the solution to the system. If the lines are parallel, good news! There’s no solution. If they’re the same line, then there are infinitely many solutions. Quite the visual, don’t you think?
