System Of Equations

Front

What is a system of equations?

Back

A set of two or more equations with the same variables.

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What does it mean if a system of equations has no solution?

Back

It means the equations represent parallel lines that never intersect.

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What does it mean if a system of equations has one solution?

Back

It means the equations represent lines that intersect at exactly one point.

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What does it mean if a system of equations has infinitely many solutions?

Back

It means the equations represent the same line, overlapping each other.

Front

How can you solve a system of equations by substitution?

Back

By solving one equation for one variable and substituting that expression into the other equation.

Front

How can you solve a system of equations by elimination?

Back

By adding or subtracting the equations to eliminate one variable, making it easier to solve for the other.

Front

What is the graphical representation of a system of equations?

Back

It is the intersection points of the lines represented by the equations.

Front

What is the first step in solving a system of equations by graphing?

Back

Graph each equation on the same coordinate plane.

Front

What is the significance of the intersection point in a system of equations?

Back

It represents the solution to the system, where all equations are satisfied.

Front

What is a consistent system of equations?

Back

A system that has at least one solution.