UNIT 6 System of Equations Flashcard #2

Front

What is a system of equations?

Back

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 have no solution?

Back

A system of equations has no solution when the lines represented by the equations are parallel and never intersect.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

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How do you find the solution to a system of equations graphically?

Back

To find the solution graphically, plot both equations on the same graph and identify the point(s) where they intersect.

Front

What is the slope-intercept form of a linear equation?

Back

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope but different y-intercepts, meaning they will never intersect.

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What is the substitution method in solving systems of equations?

Back

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

Front

What is the elimination method in solving systems of equations?

Back

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

Front

What is a linear equation?

Back

Front

What is the meaning of the x-intercept?

Back

The x-intercept is the point where a graph crosses the x-axis, meaning the value of y is zero at that point.