Systems of Equations #4

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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 point(s) where the equations intersect.

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What does it mean for a system of equations to be consistent?

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A consistent system of equations has at least one solution. It can be either one unique solution or infinitely many solutions.

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What does it mean for a system of equations to be inconsistent?

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An inconsistent system of equations has no solutions. The graphs of the equations are parallel lines.

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How can you solve a system of equations graphically?

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To solve graphically, plot each equation on the same graph and identify the point(s) where they intersect.

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What is the substitution method for solving systems of equations?

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

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What is the elimination method for 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 other.

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The graph represents a line in the coordinate plane, and it can be used to find solutions to the system of equations.

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