6.3 - Systems Algebraically

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What is a system of equations?

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A system of equations is a set of two or more equations with the same variables. The solution is the set of values that satisfy all equations in the system.

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What does it mean to solve a system of equations algebraically?

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Solving a system of equations algebraically involves finding the values of the variables that make all equations true, typically using methods like substitution or elimination.

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What is the substitution method in solving systems of equations?

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The substitution method involves solving one equation for one variable and then substituting that expression into the other equation.

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What is the elimination method in solving systems of equations?

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The elimination method involves adding or subtracting equations to eliminate one variable, making it easier to solve for the remaining variable.

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What is the graphical representation of a system of equations?

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The graphical representation of a system of equations is the point(s) where the lines representing the equations intersect, indicating the solution.